Heat and Thermal ExpansionHard
Question
One mole of an ideal gas ungderoes a whose molar heat capacity is 4R and in which work done by gas for small change in temperature is given by the relation dW = 2RdT, then the ration
is.
Options
A.7/5
B.5/3
C.3/2
D.2
Solution
For small change dQ = dU + dW
nCdT = nCVdT + 2nRdT ∴ C = CV + 2R ; 4R = CV + 2R ∴ CV = 2R
Allso CV =
= 2R ⇒ 2γ - 2 = 1 ⇒ γ = 32
nCdT = nCVdT + 2nRdT ∴ C = CV + 2R ; 4R = CV + 2R ∴ CV = 2R
Allso CV =
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