An ideal gas having molar specific heat at constant volume C V . It is undergoing a process where temperature is varying as T = T 0 e α V where α is constant and 'V' is the volume occupied by the gas. The molar specific heat of the gas for the given process as a function of volume is given by:
A
C V + 
B
C V + 
C
C V + 
D
C V + 
Text Solution
Verified by ExpertsThe correct answer is:
B
From 1 st law,
Δ Q = Δ U + W
nCdT = nC V dT + pdV
⇒ nCdT = nC V dT + 
dV
⇒ C α T 0 e α V dV= C V α T 0 e α V dV+ 
T 0 e α V dV
⇒ α C = α C V + 
⇒ C = C V + 
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The specific heat of an ideal gas is
If the degree of freedom of a gas are , then the ratio of two specific heats is given by
The value of for one mole of neon gas is
The specific heat of a gas at constant pressure is greater than that of the same gas at constant vo…
The specific heat of 1 mole of an ideal gas at constant pressure and at constant volume which is …
In gases of diatomic molecules, the ratio of the two specific heats of gases is