wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The molar heat capacity of 1 mole of a diatomic gas, if it does a work of Q/4 in a process when heat Q is supplied to it, is -

A
25R
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
52R
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
103R
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
67R
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 103R
Given ,
Number of moles of diatomic gas, (n)=1
So, we can write that
ΔU=Cv ΔT=(52R)ΔT
ΔT=2(ΔU)5R ......(1)
From first law of thermodynamics, we can say that
ΔU=ΔQΔW
From the data given in the question
ΔU=QQ4=3Q4 .....(2)
Now, from the definition of molar heat capacity,
C=1nΔQΔT where n=1 here.
From (1) and (2),
C=Q2(ΔU)5R=5RQ2(3Q4)=103R
Hence, option (c) is the correct answer.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon