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

A tank with a movable piston having initial volume of 0.2 m3 contains He gas at a temperature of 300 K and pressure 105 N/m2. Find the amount of heat required to raise the temperature of gas to 400 K at constant pressure. The molar heat capacity of He at constant pressure is 5 cal K1mol1.

A
2400 cal
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
3800 cal
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
4000 cal
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
5000 cal
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 4000 cal
Initial volume (V)=0.2 m3
The number of moles of gas in the tank will remain constant( tank is closed by piston),
n=PVRT
n=105×0.28.31×300=8 mol
The amount of heat required to raise the temperature of gas in tank at constant pressure is
ΔQ=nCpΔT
Q=8×5 cal mol1 K1×100 K
Q=4000 cal

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