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:80%'><span
 class=3DBB style=3D'position:absolute;left:-5.71%'>o</span></span><span
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 efficiency </span><span style=3D'font-size:80%'>of an Otto cycle with a </=
span></span><span
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'><span
 style=3D'font-size:80%'>perfect gas </span><span style=3D'font-size:80%'>a=
s </span><span
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>is:&#13;</span></span>
 <div style=3D'position:absolute;top:38.0%;left:7.11%;width:85.58%;height:5=
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 style=3D'position:absolute;top:0%;left:6.12%;width:94.09%;height:100.0%'><=
span
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on:absolute;
 left:-6.51%'>o</span></span><span style=3D'font-size:80%;display:none'>&#1=
3;</span></span></div>
 <div style=3D'position:absolute;top:44.25%;left:7.11%;width:85.58%;height:=
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 style=3D'position:absolute;top:0%;left:6.12%;width:94.09%;height:100.0%'><=
span
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on:absolute;
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3;</span></span></div>
 <div style=3D'position:absolute;top:50.74%;left:7.11%;width:85.58%;height:=
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span
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6.51%'>o</span></span><span
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 style=3D'position:absolute;top:0%;left:6.12%;width:94.09%;height:100.0%'><=
span
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3;</span></span></div>
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span
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3;</span></span></div>
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'> is
 the compression ratio, and </span><span style=3D'font-size:80%'><b><i>n</i=
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}

function GetNumSlds()
{  =20
	if( GetHrefObj(gCurSld).mOrigVis =3D=3D 1 )
		return GetSldList().mNumVisSlds;
	else
		return GetSldList().mList.length
}

function GetSldNum( href )
{
	for(ii=3D0; ii<GetSldList().mList.length; ii++) {
		if ( GetSldList().mList[ii].mSldHref =3D=3D href )
			return ii+1
	}
	return 1
}

function GetHrefObj( sldIdx ){ return GetSldList().mList[sldIdx-1] }

function IsFramesMode(){ return ( SCREEN_MODE =3D=3D "Frames" ) }

function IsFullScrMode(){ return ( SCREEN_MODE =3D=3D "FullScreen" ) }

function GoToNextSld()
{
	ii=3DgCurSld + 1
	if( GetHrefObj( ii-1 ).mOrigVis =3D=3D 0 ) {
		if( ii<=3DGetSldList().mList.length ) {
			obj=3DGetHrefObj(ii)
			obj.mVis=3D1
			GoToSldNum(ii)
			return
		}
	}
	else {
		obj=3DGetHrefObj( ii )
		while ( obj && ( obj.mOrigVis =3D=3D 0 ) )
			obj=3DGetHrefObj(++ii)
		if( obj && obj.mOrigVis ) {
			GoToSldNum(ii)
			return
		}
	}
	if( gSldStack.length > 1 )
		PopSldList();
	else if( !IsFramesMode() ) {
                if( gLoopCont )
			GoToFirst()
                else
			EndShow()
	}
}

function GoToPrevSld()
{
	ii=3DgCurSld-1
	if( ii > 0 ) {
		obj=3DGetHrefObj(ii)
		while ( obj && ( obj.mVis =3D=3D 0 ) && ( ii>0 ) )
			obj=3DGetHrefObj(--ii)
        if( ii =3D=3D 0 ) ii=3D1
		GoToSldNum(ii)
	}
}

function GoToFirst(){ GoToSld( GetHrefObj(1).mSldHref ) }

function GoToLast()
{
	ii=3DGetSldList().mList.length
	if( ii !=3D gCurSld )
		GoToSld( GetHrefObj(ii).mSldHref )
}

function GoToSldNum( num )
{
	if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue
	obj =3D GetHrefObj( num )
	obj.mVis=3D1
	gPrevSld=3DgCurSld
	gCurSld =3D num;
=09
	if (MHTMLPrefix !=3D "")
		PPTSld.location.replace(MHTMLPrefix+RemoveFilePrefixFromHref(obj.mSldHref=
))
	else
		PPTSld.location.replace(obj.mSldHref)
	=09
	if( IsFramesMode() ) {
		UpdNavPane(); UpdOtlPane(); UpdNtsPane()
	}
}

function GoToSld( href )
{
	if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue
	GetHrefObj( GetSldNum(href) ).mVis=3D1
	if (MHTMLPrefix !=3D "")
		PPTSld.location.replace(MHTMLPrefix+RemoveFilePrefixFromHref(href))
	else
		PPTSld.location.replace(href)
}

function SldUpdated( id )
{
	if( id =3D=3D GetHrefObj(gCurSld).mSldHref ) return
	gPrevSld=3DgCurSld
	gCurSld=3DGetSldNum(id)
	if( IsFramesMode() ) {
		UpdNavPane(); UpdOtlPane(); UpdNtsPane()
	}
}

function PrevSldViewed(){ GoToSld( GetHrefObj(gPrevSld).mSldHref ) }
function HasPrevSld() { return ( gIsEndShow || ( gCurSld !=3D 1 && GetHrefO=
bj( gCurSld-1 ).mVis =3D=3D 1 )||( GetCurSldNum() > 1 ) ) }
function HasNextSld() { return (GetCurSldNum() !=3D GetNumSlds()) }

function CloseWindow() {
	if( HideMenu() ) return;
=09
	var event =3D PPTSld.event;
	if( !IsFramesMode() && event && (event.keyCode=3D=3D27 || event.keyCode=3D=
=3D32 || event.type=3D=3D"click" ) )
		window.close( self );
	CatchNumKeys( self, event );
}

function Unload() { gIsEndShow=3D0; }

function SetupEndShow() {
	gIsEndShow=3D1;
	PPTSld.document.body.scroll=3D"no";
	PPTSld.document.onkeypress=3DCloseWindow;
	PPTSld.document.onclick=3DCloseWindow;
	PPTSld.document.oncontextmenu=3D_CM;
}

function EndShow()
{
	if( IsFramesMode() ) return
	if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue

	doc=3DPPTSld.document
	var dir =3D doc.body.dir
	if( dir !=3D "rtl" ) dir =3D "ltr";
	doc.open()
	doc.writeln('<html><body dir=3D' + dir + ' bgcolor=3Dblack onload=3Dparent=
.SetupEndShow() onunload=3Dparent.Unload()><center><p><font face=3DTahoma c=
olor=3Dwhite size=3D2><br><b>' + ENDSHOW_MESG + '</b></font></p></center></=
body></html>')
	doc.close()
}

function SetSldVisited(){ GetSldList().mList[gCurSld-1].mVisited=3Dtrue }

function IsSldVisited(){ return GetSldList().mList[gCurSld-1].mVisited }

function hrefList( sldHref, visible, advDelay, advClk )
{
	this.mSldHref=3D this.mNtsHref =3D sldHref
	this.mOrigVis=3D this.mVis =3D visible
	this.mVisited=3D false
	this.mAdvDelay=3D advDelay
	this.mAdvOnClk=3D advClk
}

function SldList(arr,curSld,fEnd)
{
	this.mCurSld =3D curSld;
	this.mList =3D new Array();

	var idx =3D 1;
	for(ii=3D0;ii<arr.length;ii++) {
		this.mList[ii] =3D new hrefList( arr[ii].mSldHref, arr[ii].mOrigVis, arr[=
ii].mAdvDelay, arr[ii].mAdvOnClk );
		if( arr[ii].mOrigVis )
			this.mList[ii].mSldIdx =3D idx++;
	}
	this.mNumVisSlds =3D idx-1;
	this.fEndShow =3D fEnd;
}

function GetSldList() {	return gSldStack[gSldStack.length-1] }
function GetCurSld() { return parent.GetSldList().mList[parent.gCurSld - 1]=
 }

gSldStack =3D new Array();
gSldStack[0] =3D new SldList(gMainDoc,gCurSld,1)
function ToggleOtlPane()
{
	frmset=3Ddocument.all("PPTHorizAdjust")
	frm=3Ddocument.all("PPTOtl")

	if( gOtlOpen )
		frmset.cols=3D"*,100%"
	else
		frmset.cols=3D"25%,*"

	gOtlOpen=3D!gOtlOpen
	frm.noResize=3D!frm.noResize
	UpdOtNavPane()
}

function ToggleNtsPane()
{
	frmset=3Ddocument.all("PPTVertAdjust")
	frm=3Ddocument.all("PPTNts")

	if( gNtsOpen )
		frmset.rows=3D"100%,*"
	else
		frmset.rows=3D"*,20%"

	gNtsOpen=3D!gNtsOpen
	UpdNtsPane()
}

/*********************************************
Custom Shows implementation

When ViewCustomShow() is called, we create
a new array that is a subset of the slides in=20
the main doc. This list pushed on a stack so
we can return after the end of the custom
show.
*********************************************/
function ViewCustomShow(idx,fEnd)
{
	if( !IsFullScrMode() ) return;
	var sldList =3D new Array();
	var custShow =3D custShowList[idx-1];
	var jj =3D 0;
	for( ii=3D0;ii<custShow.length;ii++ ) {
		if( custShow[ii] <=3D gMainDoc.length )
			sldList[jj++] =3D gMainDoc[custShow[ii]-1];
	}
	if (sldList.length > 0) {
	PushSldList(sldList,fEnd);
	gCurSld =3D 1;
	}
	else
		if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue
}

function PushSldList(arr,fEnd) {
	var ii =3D gSldStack.length;
	gSldStack[ii] =3D new SldList(arr,gCurSld,fEnd);
	GoToSld( gSldStack[ii].mList[0].mSldHref );
}

function PopSldList() {
	if (gSldStack[gSldStack.length-1].fEndShow)
		EndShow()
	else {
	gCurSld =3D gSldStack[gSldStack.length-1].mCurSld;
	gSldStack[gSldStack.length-1] =3D null;
	gSldStack.length--;
	var sldList =3D gSldStack[gSldStack.length-1];
	GoToSld( sldList.mList[gCurSld - 1].mSldHref );
	}
}
var custShowList=3Dnew Array();

/*********************************************
 Navigation button implementation

 There are 2 types of buttons: ImgBtn, TxtBtn
 implemented as function objects. They share
 a similiar interface so the event handlers
 can call SetActive, for example, on a button=20
 object without needing to know exactly=20
 what type of button it is.
**********************************************/

//----------------------------------
function ImgBtn( oId,bId,w,action )
//----------------------------------
{
	var t=3Dthis
	t.Perform    =3D _IBP
	t.SetActive  =3D _IBSetA
	t.SetInactive=3D _IBSetI
	t.SetPressed =3D _IBSetP
	t.SetDisabled=3D _IBSetD
	t.Enabled    =3D _IBSetE
	t.ChangeIcon =3D null
	t.UserAction =3D action
	t.ChgState   =3D _IBUI
	t.mObjId   =3D oId
	t.mBorderId=3D bId
	t.mWidth   =3D w
	t.mIsOn    =3D t.mCurState =3D 0
}

function _IBSetA()
{
	if( this.mIsOn ) {
		obj=3Dthis.ChgState( gHiliteClr,gShadowClr,2 )
		obj.style.posTop=3D0
	}
}

function _IBSetI()
{
	if( this.mIsOn ) {
		obj=3Dthis.ChgState( gFaceClr,gFaceClr,1 )
		obj.style.posTop=3D0=20
	}
}

function _IBSetP()
{
	if( this.mIsOn ) {
		obj=3Dthis.ChgState( gShadowClr,gHiliteClr,2 )
		obj.style.posLeft+=3D1; obj.style.posTop+=3D1
	}
}

function _IBSetD()
{ =20
	obj=3Dthis.ChgState( gFaceClr,gFaceClr,0 )
	obj.style.posTop=3D0=20
}

function _IBSetE( state )
{
	var t=3Dthis
	GetObj( t.mBorderId ).style.visibility=3D"visible"
	if( state !=3D t.mIsOn ) {
		t.mIsOn=3Dstate
		if( state )
			t.SetInactive()
		else
			t.SetDisabled()
	}
}

function _IBP()
{
	var t=3Dthis
	if( t.mIsOn ) {
		if( t.UserAction !=3D null )
			t.UserAction()
		if( t.ChangeIcon ) {
			obj=3DGetObj(t.mObjId)
			if( t.ChangeIcon() )
				obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-4)*t.mWidth
			else
				obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-0)*t.mWidth
		}
		t.SetActive()
	} =20
}

function _IBUI( clr1,clr2,nextState )
{
	var t=3Dthis
	SetBorder( GetObj( t.mBorderId ),clr1,clr2 )
	obj=3DGetObj( t.mObjId )
	obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-nextState)*t.mWidth-obj=
.style.posTop
	t.mCurState=3DnextState
	return obj
}

//-----------------------------------------
function TxtBtn( oId,oeId,action,chkState )
//-----------------------------------------
{
	var t=3Dthis
	t.Perform    =3D _TBP
	t.SetActive  =3D _TBSetA
	t.SetInactive=3D _TBSetI
	t.SetPressed =3D _TBSetP
	t.SetDisabled=3D _TBSetD
	t.SetEnabled =3D _TBSetE
	t.GetState   =3D chkState
	t.UserAction =3D action
	t.ChgState   =3D _TBUI
	t.mObjId      =3D oId
	t.m_elementsId=3D oeId
	t.mIsOn       =3D 1
}

function _TBSetA()
{
	var t=3Dthis
	if( t.mIsOn && !t.GetState() )
		t.ChgState( gHiliteClr,gShadowClr,0,0 )
}

function _TBSetI()
{
	var t=3Dthis
	if( t.mIsOn && !t.GetState() )
		t.ChgState( gFaceClr,gFaceClr,0,0 )
}

function _TBSetP()
{
	if( this.mIsOn )
		this.ChgState( gShadowClr,gHiliteClr,1,1 )
}

function _TBSetD()
{  =20
	this.ChgState( gFaceClr,gFaceClr,0,0 )
	this.mIsOn =3D 0
}

function _TBSetE()
{
	var t=3Dthis
	if( !t.GetState() )
		t.ChgState( gFaceClr,gFaceClr,0,0 )
	else
		t.ChgState( gShadowClr,gHiliteClr,1,1 )
	t.mIsOn =3D 1
}

function _TBP()
{
	var t=3Dthis
	if( t.mIsOn ) {=20
		if( t.UserAction !=3D null )
			t.UserAction()
        if( !t.GetState )
            return
		if( t.GetState() )
			t.SetPressed()
		else
			t.SetActive()
	} =20
}

function _TBUI( clr1,clr2,lOffset,tOffset )
{
	SetBorder( GetObj( this.mObjId ),clr1,clr2 )
	Offset( GetObj( this.m_elementsId ),lOffset,tOffset )
}

function Offset( obj, top, left ){ obj.style.top=3Dtop; obj.style.left=3Dle=
ft }

function SetBorder( obj, upperLeft, lowerRight )
{
	s=3Dobj.style;
	s.borderStyle      =3D "solid"
	s.borderWidth      =3D 1=20
	s.borderLeftColor  =3D s.borderTopColor =3D upperLeft
	s.borderBottomColor=3D s.borderRightColor =3D lowerRight
}

function GetBtnObj(){ return gBtnArr[window.event.srcElement.id] }

function BtnOnOver(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetActive() }

function BtnOnDown(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetPressed() }

function BtnOnOut(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetInactive() }

function BtnOnUp()
{
	b=3DGetBtnObj()
	if( b !=3D null )
		b.Perform()
	else
		Upd()
}
function GetNtsState(){ return parent.gNtsOpen }

function GetOtlState(){ return parent.gOtlOpen }

function GetOtlTxtState(){ return parent.gOtlTxtExp }

function NtsBtnSetFlag( fVal )
{
	s=3Ddocument.all.item( this.m_flagId ).style
	s.display=3D"none"
	if( fVal )
		s.display=3D""
	else
		s.display=3D"none"
}

function _BSetA_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S=
etActive() }

function _BSetI_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S=
etInactive() }

function _BSetP_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S=
etPressed() }

function _BSetA_BorderImg()
{=20
	b =3D gBtnArr[this.mBorderId]=20
	if( b !=3D null && this.mIsOn && !b.GetState() ) {
		obj=3Dthis.ChgState( gHiliteClr,gShadowClr,2 )
		obj.style.posTop=3D0
	}
}

function _BSetI_BorderImg()
{=20
	b =3D gBtnArr[this.mBorderId]
	if( b !=3D null && this.mIsOn && !b.GetState() ) {
		obj=3Dthis.ChgState( gFaceClr,gFaceClr,1 )
		obj.style.posTop=3D0
	}
}


var gHiliteClr=3D"THREEDHIGHLIGHT",gShadowClr=3D"THREEDSHADOW",gFaceClr=3D"=
THREEDFACE"
var gBtnArr =3D new Array()
gBtnArr["nb_otl"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOtlPan=
e,GetOtlState )
gBtnArr["nb_otlElem"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOt=
lPane,GetOtlState )
gBtnArr["nb_nts"] =3D new ImgBtn( "nb_nts","nb_ntsBorder",10,parent.ToggleN=
tsPane )
gBtnArr["nb_nts"].SetActive =3D _BSetA_BorderImg;
gBtnArr["nb_nts"].SetInactive =3D _BSetI_BorderImg;
gBtnArr["nb_ntsBorder"] =3D new TxtBtn( "nb_ntsBorder","nb_ntsElem",parent.=
ToggleNtsPane,GetNtsState )
gBtnArr["nb_ntsElem"] =3D new TxtBtn( "nb_ntsBorder","nb_ntsElem",parent.To=
ggleNtsPane,GetNtsState )
gBtnArr["nb_prevBorder"] =3D gBtnArr["nb_prev"]=3D new ImgBtn( "nb_prev","n=
b_prevBorder",30,parent.GoToPrevSld )
gBtnArr["nb_nextBorder"] =3D gBtnArr["nb_next"]=3D new ImgBtn( "nb_next","n=
b_nextBorder",30,parent.GoToNextSld )
gBtnArr["nb_sldshw"]=3D new ImgBtn( "nb_sldshw","nb_sldshwBorder",18,parent=
.FullScreen )
gBtnArr["nb_sldshwBorder"] =3D new TxtBtn( "nb_sldshw","nb_sldshwBorder",pa=
rent.FullScreen,null )
gBtnArr["nb_sldshwBorder"].SetActive =3D _BSetA_Border;
gBtnArr["nb_sldshwBorder"].SetInactive =3D _BSetI_Border;
gBtnArr["nb_sldshwText"] =3D new TxtBtn( "nb_sldshw","nb_sldshwText",parent=
.FullScreen,null )
gBtnArr["nb_sldshwText"].SetActive =3D _BSetA_Border;
gBtnArr["nb_sldshwText"].SetInactive =3D _BSetI_Border;
gBtnArr["nb_voice"] =3D gBtnArr["nb_voiceBorder"] =3D new ImgBtn( "nb_voice=
","nb_voiceBorder",18,parent.ToggleVNarration )
gBtnArr["nb_otlTxtBorder"] =3D gBtnArr["nb_otlTxt"]=3D new ImgBtn( "nb_otlT=
xt","nb_otlTxtBorder",23,parent.ToggleOtlText )
gBtnArr["nb_ntsBorder"].m_flagId=3D "nb_nts"
gBtnArr["nb_ntsBorder"].SetFlag =3D NtsBtnSetFlag
gBtnArr["nb_otlTxt"].ChangeIcon=3D GetOtlTxtState

/*********************************************
 Context menu implementation

 _CM() is the function that's hooked up to
 the oncontextmenu event. Once we're asked to
 show the menu, we first build it by creating
 DIVs on-the-fly. Then we position it=20
 within the screen area so it doesn't get
 clipped.

 Creating the DIVs using createElement() means
 we don't have to write out any extra HTML
 into the slide HTML files.
**********************************************/
var sNext=3D"Next",sPrev=3D"Previous",sEnd=3D"End Show",sFont=3D"Arial",sAr=
row=3D"Arrow",sFreeform=3D"Freeform",sRect=3D"Rectangle",sOval=3D"Oval"

function ShowMenu()
{
	BuildMenu();
	var doc=3DPPTSld.document.body,x=3DPPTSld.event.clientX+doc.scrollLeft,y=
=3DPPTSld.event.clientY+doc.scrollTop
	m =3D PPTSld.document.all.item("ctxtmenu")
	m.style.pixelLeft=3Dx
	if( (x+m.scrollWidth > doc.clientWidth)&&(x-m.scrollWidth > 0) )
		m.style.pixelLeft=3Dx-m.scrollWidth

	m.style.pixelTop=3Dy
	if( (y+m.scrollHeight > doc.clientHeight)&&(y-m.scrollHeight > 0) )
		m.style.pixelTop=3Dy-m.scrollHeight

	m.style.display=3D""
}

function _CM()
{
	if( !parent.IsFullScrMode() ) return;
	if(!PPTSld.event.ctrlKey) {
		ShowMenu()
		return false
	} else
		HideMenu()
}

function BuildMenu()
{
	if( PPTSld.document.all.item("ctxtmenu") ) return

	var mObj=3DCreateItem( PPTSld.document.body )
	mObj.id=3D"ctxtmenu"
	mObj.style.visibility=3D"hidden"
	var s=3DmObj.style
	s.position=3D"absolute"
	s.cursor=3D"default"
	s.width=3D"120px"
	SetCMBorder(mObj,"menu","black")

	var iObj=3DCreateItem( mObj )
	SetCMBorder( iObj, "threedhighlight","threedshadow" )
	iObj.style.padding=3D2
	CreateMenuItem( iObj,sNext,M_GoNextSld,M_True )
	CreateMenuItem( iObj,sPrev,M_GoPrevSld,M_HasPrevSld )
=09
	CreateSeparator( iObj )
	CreateMenuItem( iObj,sEnd,M_End,M_True )
	mObj.style.visibility=3D"visible"
}

function Cancel() { window.event.cancelBubble=3Dtrue; window.event.returnVa=
lue=3Dfalse }

function Highlight() { ChangeClr("activecaption","threedhighlight") }

function Deselect() { ChangeClr("threedface","menutext") }

function Perform()
{
	e=3DPPTSld.event.srcElement
	if( e.type=3D=3D"menuitem" && e.IsActive() )
		e.Action()
	else
		PPTSld.event.cancelBubble=3Dtrue
}
function ChangeClr( bg,clr )
{
	e=3DPPTSld.event.srcElement
	if( e.type=3D=3D"menuitem" && e.IsActive() ) {
		e.style.backgroundColor=3Dbg
		e.style.color=3Dclr
	}
}

function M_HasPrevSld() { return( parent.HasPrevSld() ) }

function M_GoNextSld() { if( gIsEndShow ) M_End(); else GoToNextSld() }

function M_GoPrevSld() { if( gIsEndShow ) { gIsEndShow=3D0; history.back();=
 PPTSld.event.cancelBubble=3Dtrue; } else GoToPrevSld() }

function M_True() { return true }

function M_End() { window.close( self ) }

function CreateMenuItem( node,text,action,eval )
{
	var e=3DCreateItem( node )
	e.type=3D"menuitem"
	e.Action=3Daction
	e.IsActive=3Deval
	e.innerHTML=3Dtext

	if( !e.IsActive() )
		e.style.color=3D"threedshadow"

	e.onclick=3DPerform
	e.onmouseover=3DHighlight
	e.onmouseout=3DDeselect
	s=3De.style;
	s.fontFamily=3DsFont
	s.fontSize=3D"9pt"
	s.paddingLeft=3D2
}

function CreateSeparator( node )
{
	var sObj=3DCreateItem( node )
	SetCMBorder(sObj,"menu","menu")
	var s=3DsObj.style
	s.borderTopColor=3D"threedshadow"
	s.borderBottomColor=3D"threedhighlight"
	s.height=3D1
	s.fontSize=3D"0px"
}

function CreateItem( node )
{
	var elem=3DPPTSld.document.createElement("DIV")
	node.insertBefore( elem )
	return elem
}

function SetCMBorder( o,ltClr,rbClr )
{
	var s=3Do.style
	s.backgroundColor=3D"menu"
	s.borderStyle=3D"solid"
	s.borderWidth=3D1
	s.borderColor=3DltClr+" "+rbClr+" "+rbClr+" "+ltClr
}
------=_NextPart_01C7430A.F2CE78A0
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    Energy in Biological Systems</a></font></div>
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  <ul>
   <li>Heat Engine Lecture</li>
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  <ul>
   <li>If object A is in thermal equilibrium with object B, and object B is=
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       equilibrium with object A.</li>
   <li>This law allows us to use thermometers to measure temperature.</li>
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   <li>Energy can neither be created nor destroyed.</li>
   <li>If a system undergoes a process by heat and work transfer, then the =
net
       heat supplied, Q, plus the net work input, W, is equal to the change=
 of energy
       of the media,</li>
   <br>
   <br>
   <br>
   <br>
   <li>where U<sub>1</sub> and U<sub>2</sub> are the energies of the system=
 at
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  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>4</font></div>
  </td>
  <td>
  <div id=3DPPTP4 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0028.htm');" id=3DPPTL4>Conservation of =
Energy</a></font></div>
  <div id=3DPPTC4 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>Special Case:<span style=3D'mso-spacerun:yes'>&nbsp; </span>equation
       applied to a steady-state system is known as the steady-state energy
       equation.</li>
   <li>Applying this general principle to a thermodynamic cycle, when the
       system undergoes a complete cycle, i.e. U<sub>1</sub> =3D U<sub>2</s=
ub>,
       results in:</li>
   <br>
   <br>
   <br>
   <br>
   <li>where:</li>
   <ul>
    <li>	Q=3D sum of the heat supplied to (+) or rejected from (-) the
        system.<br>
                W=3D sum of the work done by surroundings on the system (+)=
 or by
        the system on surroundings (-).</li>
   </ul>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>5</font></div>
  </td>
  <td>
  <div id=3DPPTP5 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0029.htm');" id=3DPPTL5>Power Plants</a>=
</font></div>
  <div id=3DPPTC5 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>Applying the rule to the power plant shown below,</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>6</font></div>
  </td>
  <td>
  <div id=3DPPTP6 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0030.htm');" id=3DPPTL6>Power Plants</a>=
</font></div>
  <div id=3DPPTC6 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>Q=3DQ<sub>in</sub>&#8211;Q<sub>out</sub></li>
   <li>W=3DW<sub>in</sub>&#8211;W<sub>out</sub></li>
   <li>Q<sub>in</sub>+W<sub>in</sub>-Q<sub>out</sub>-W<sub>out</sub> =3D 0<=
/li>
   <li>where, <br>
              Q<sub>in</sub> - heat supplied to the system through boiler,
       <br>
              W<sub>in</sub> - feed-pump work, <br>
              Q<sub>out</sub> - heat rejected from the system by condenser,
       <br>
              W<sub>out</sub> - turbine work.</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>7</font></div>
  </td>
  <td>
  <div id=3DPPTP7 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0031.htm');" id=3DPPTL7>Second Law of
  Thermodynamics</a></font></div>
  <div id=3DPPTC7 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>No heat engine can be more efficient than a reversible heat engine
       working between two fixed temperature limits (Carnot Cycle).</li>
   <li>Or, the maximum thermal efficiency is equal to the thermal efficienc=
y of
       the Carnot Cycle.</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>8</font></div>
  </td>
  <td>
  <div id=3DPPTP8 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0032.htm');" id=3DPPTL8>Second Law of
  Thermodynamics</a></font></div>
  <div id=3DPPTC8 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>Or, for heat input to an engine (Q) the work output of the engine (W)
       will be restricted to an upper limit (W<sub>max</sub>),</li>
   <br>
   <br>
   <br>
   <br>
   <li>Note: Real cycles are far less efficient than the Carnot cycle becau=
se
       of mechanical friction and other irreversibilities.</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>9</font></div>
  </td>
  <td>
  <div id=3DPPTP9 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0033.htm');" id=3DPPTL9>Fuel</a></font><=
/div>
  <div id=3DPPTC9 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>Fuels are chemical substances that can be burned in oxygen to genera=
te heat.<span
       style=3D'mso-spacerun:yes'>&nbsp; </span>They mainly consist of carb=
on and
       hydrogen, and sometimes a small amount of sulfur or minerals.</li>
   <li>There are solid, liquid and gaseous fuels.</li>
   <li>Petroleum oils are usually a mixture of several liquid fuels.</li>
   <li>The combustion process produces new components which are called
       products, e.g. combustion of carbon with oxygen produces carbon diox=
ide.</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>10</font></div>
  </td>
  <td>
  <div id=3DPPTP10 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0034.htm');" id=3DPPTL10>Heat Engines</a=
></font></div>
  <div id=3DPPTC10 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>Heat engine is defined as a device that converts heat energy into
       mechanical energy.</li>
   <li>The operation of a heat engine can best be represented by a thermody=
namic
       cycle. Examples include: Otto, Diesel, Brayton, Stirling and Ranking
       cycles.</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>11</font></div>
  </td>
  <td>
  <div id=3DPPTP11 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0035.htm');" id=3DPPTL11>Forward Heat En=
gine</a></font></div>
  <div id=3DPPTC11 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>LTER=3D Low Temperature Energy Reservoir <br>
              HTER=3D High Temperature Energy Reservoir</li>
   <br>
   <br>
   <br>
   <br>
   <br>
   <br>
   <br>
   <li>Transportation - Otto Cycle and Diesel Cycle Internal Combustion (IC)
       engines.</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>12</font></div>
  </td>
  <td>
  <div id=3DPPTP12 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0036.htm');" id=3DPPTL12>Reverse Heat En=
gine</a></font></div>
  <div id=3DPPTC12 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>LTER=3D Low Temperature Energy Reservoir <br>
              HTER=3D High Temperature Energy Reservoir</li>
   <br>
   <br>
   <br>
   <br>
   <br>
   <br>
   <br>
   <li>HVAC - Heat Pumps and Geothermal Systems.</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>13</font></div>
  </td>
  <td>
  <div id=3DPPTP13 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0037.htm');" id=3DPPTL13>Otto Cycle</a><=
/font></div>
  <div id=3DPPTC13 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>Several engines may be approximated by an Otto cycle, such as the
       gasoline engine.<span style=3D'mso-spacerun:yes'>&nbsp; </span>The O=
tto
       Cycle is an ideal air standard cycle which consists of four processe=
s:</li>
   <br>
   <br>
   <br>
   <br>
   <br>
   <br>
   <br>
   <br>
   <br>
   <br>
   <li>1 to 2: Isentropic compression</li>
   <li>2 to 3: Reversible constant volume heating</li>
   <li>3 to 4: Isentropic expansion</li>
   <li>4 to 1: Reversible constant volume cooling</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>14</font></div>
  </td>
  <td>
  <div id=3DPPTP14 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0038.htm');" id=3DPPTL14>Thermal Efficie=
ncy</a></font></div>
  <div id=3DPPTC14 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>The thermal efficiency of an Otto cycle with a perfect gas as working
       fluid is:</li>
   <br>
   <br>
   <br>
   <li>It can be shown that:</li>
   <br>
   <br>
   <br>
   <li>where r is the compression ratio, and n is the ratio of specific hea=
ts
       (1.4 for air).</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>15</font></div>
  </td>
  <td>
  <div id=3DPPTP15 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0039.htm');" id=3DPPTL15>Thermal Efficie=
ncy</a></font></div>
  <div id=3DPPTC15 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>The thermal efficiency of a cycle is defined as the ratio of net work
       output, W, to the heat supplied at high temperature, Q1:</li>
   <br>
   <br>
   <br>
   <br>
   <br>
   <br>
   <br>
   <li>or,</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>16</font></div>
  </td>
  <td>
  <div id=3DPPTP16 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0040.htm');" id=3DPPTL16>Credits</a></fo=
nt></div>
  <div id=3DPPTC16 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>This presentation was adapted from a web site authored by Taftan Dat=
a of
       North Vancouver, B.C., Canada.<span style=3D'mso-spacerun:yes'>&nbsp;
       </span>The web site can be found at
       http://www.taftan.com/thermodynamics/.</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>17</font></div>
  </td>
  <td>
  <div id=3DPPTP17 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0025.htm');" id=3DPPTL17>The End</a></fo=
nt></div>
  </td>
 </tr>
</table>



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------=_NextPart_01C7430A.F2CE78A0
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------=_NextPart_01C7430A.F2CE78A0
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