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ATD Module 1

1. Thermodynamics deals with heat, work, and their relation to changes in the internal energy of a system. 2. When a gas is heated at constant pressure, its temperature increases and its internal energy changes due to heat supplied and work done. 3. The specific heats of a gas are important thermodynamic properties that relate its temperature change to the amount of heat supplied or removed.

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kannan
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87 views12 pages

ATD Module 1

1. Thermodynamics deals with heat, work, and their relation to changes in the internal energy of a system. 2. When a gas is heated at constant pressure, its temperature increases and its internal energy changes due to heat supplied and work done. 3. The specific heats of a gas are important thermodynamic properties that relate its temperature change to the amount of heat supplied or removed.

Uploaded by

kannan
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Applied Thermodynamics

Module I
Thermodynamics and Thermodynamic System
Q=∆U+W
Heati
DeRiva hoo of Rlation b/w SpeufcMaaki
enclosed io a Cootaine rs
Consid c gas
beng hea tol at Constant pRe4cde,
beng
=tmarsoo the 9as
T, Tshal Teopasa tua
Ta Fioal TempaRafuss
Totra Volu me
V2
Constarnt
Cp Speoisc
Cy Spece heat at Constarst Volame
Noco heat Suppled at onStornt prelSuke

m G4T mCp (Ta - Ti) O


chage b oena eneng
AU =
C, AT- c , (T -

T) .
Heat ctlsed tos exteanal woth
W P - ) me (-T)
By Fikst la o7 Theamodynamcs.
Q AU +
mc2 - T) my T-Ti)+ mRT -T
Concelhag G)Ra both Sels
C yCy+ R
Raho o Specic hea
P ha ts Is Calad
The ahon ooh Specifie
adabathc lndx

Cv
akoays gaea.le thanCy
|Sinu Valuu Cp
I s alcoays gkeatea tha Cmy

Thormoynam OcestoT
omofo

IConstornt Voluma procas/ Bochoac pkoceis

T A
P

S
P-V Oug Aa T-S Ong Aa

(P-V- T elahonship.
By icen gas quatior
P
T
Sinc Coos tont Volume V - V2
P Pe
T2
Wonk cone
Ne kno thal
W=Pdy P(V-V)
S1oa V2 = Vi

W =O
1Deat taonsfe
hle know that

Cy 4T= mcy(T - T)

(N Change Io eanal eneray


AST a

Au+W

AU
Sioco hW =0 =

By Joula's la
AU= D G , 4T

mcy- T)
ConTant pxeSSCULO PROCASLSobec Pantas
ow3

P
T 2
2

Pesune leopakatue- Volume Relatlouh


-vT)
By
By ickaal Gaas equa Troo
P P Ve
T2
Snce

(1) Woskdone W

W-P dv= P(-Y)


mR - T)
0D Cbenge Io Toto nal eneagya B Joals sla
AU C , 4T: MCT2- )
i1) eat tkansfer,
By Fixst la
Au+
= DC, 4T frRAT
o AT +R)
C-CyR
Q m C T
Cp Cy +R.

Consant Jempaiature pROUsS|Tsothokrl proC

S
(b PALISRi - lempaaatue - Volcma lahensp

P-V-T
yrolas Gnas equaihoo
P PVa
T T2
Sina T= T2

PV PV2
A WoAkdone, W
NPdv mRT dv PV MRT
V
P mRTT
W Rdv
2
r (lov)
mRT o(V)- Dolv)
RT n

MRTRn
io coheb S the expoRSis

Aalo
Dchange in teanal energy,4u
AU

AT =0

Heat Ranshes
By Fist lao
AufW
Sinee
Q W MRTo/ Va

TT
VHdh abatc Paous Jeptkopic pRoCeAS.
pROu SS lo cobch the wORking Substone
oeithex Aecerves DoR ives Out heat t is
Su &AoCndings, during is
CoRop AD SIon, Is Ca lad
expanslbn 01
oadabahc PRosS.

Py, T, Ot iotral Condihong and Pa, V,T


Qe inal Stat pxopeales .

p-V-T Rela tronshp . Lropot tant Desivaloo


9Maaks
Finst la Q=404+W.
Sna Q-o ( Isentkoprc PAoCeIS)
Ay +l=O
Cy4T+ PAV =0.

mCy dr+ Pdy -0 [Changingb dasivahier

my dr =-pdv
dr--Pdv
mCy
Also twe koo pv- mRT
Sicdes
Applying dui vative oo bath
pdy +vdp - MR dT

dr-pdv Vdp pdy vdp


R C-C

Ro O
P dv Pdv+ Vdp
Cy m CCp-

Cp-Cy Pdv vde


Cv -pdv
-| =-1 -Vde
C Pdy.

dp
P dv

dy V
d
dy 4de--0
Joteqaating both Sides
n y+ Sn P ko
b +of- n C

PvC
PaVe-PV
voskdone W

MR(T- T)
-I
2U =

Change io Joterne Enegy


meyT T)
WORkdone t aclo bahc pAoces(derivation
8Maaks
2
W-2 P dy
>P- V P -PV
No PV =C
2

y d v - Py d
P
-4172

P -+
.- 1-
PV
-
Sinta PyPV2
V-PV
Fo expan
SIoN

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