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

n moles of a gas filled in a container at temperature T is in thermodynamic equilibrium initially. If the gas is compressed slowly and isothermally to half its initial volume then the work done by the atmosphere on the piston is -


A
nRTln2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
nRT2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
3nRT2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
3nRTln22
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B nRT2
In this case atmospheric pressure is constant,
which is equal to Patm
Work done by atmosphere on piston during this process is W=PatmΔV=Patm(ViVf)=PatmVi2

Now initially Pgas=Patm
From ideal gas equation
PatmVi=nRT

Hence ,W=nRT2

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