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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: thermo
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iit009 (24)

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For an ideal gas if the molar heat capacity varies as C=Cv +3aT^2 find the equation of the process in the variables(V,T), where a is constant.
    
punnima (563)

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C= dQ/dT
Cv=dU/dT

dQ = dU + PdV
dT     dT       dT

ther4: PdV =3aT 
           dT
PV =RT
RTdV =3aT 
  VdT
dV = 3aT dT
V       R
lnV=3a T2
        R*2
V1/T^2    =e3a/2R
V1/(T ^2 ) =constant



rate me if crrct!!!!!


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punnima (563)

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is it correct????

yrnt ny1 replyin??

VARSHA KRISHNAN....
------------------------------------
IIT is always a word which rises E thru' d body. But 2 achieve it U hav 2 drain out d entire E out of the body....

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punnima (563)

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y no replies????

VARSHA KRISHNAN....
------------------------------------
IIT is always a word which rises E thru' d body. But 2 achieve it U hav 2 drain out d entire E out of the body....

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punnima (563)

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sum1 reply naa!

VARSHA KRISHNAN....
------------------------------------
IIT is always a word which rises E thru' d body. But 2 achieve it U hav 2 drain out d entire E out of the body....

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iit009 (24)

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i also got this answer only


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priyesh (1603)

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from first law
Q = U + W
 
nCdT = nCvdT + W
 
W = PdV = n(C-Cv)dT = n3aT^2 dT
 
nRT/V dV = n3aT^2 dT
=> dV/V = 3a/R TdT
lnV = 3aT^2/2R
 
=> V^(1/T^2 )= const

"Imagination is more important than knowledge."
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joyfrancis (1504)

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Edit**
 
good work priyesh!!

There is no better feeling in this world than being a winner!
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punnima (563)

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plizz rate if ur dbt is solved naa

VARSHA KRISHNAN....
------------------------------------
IIT is always a word which rises E thru' d body. But 2 achieve it U hav 2 drain out d entire E out of the body....

 this reply: 5 points  (with Olaaa!! Perrrfect answer.   in 1 votes )   [?]
 
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