A gas expands in a piston-cylinder device from V1 to V2, the process being described by P=aV+b, where P: Pressure and V: Volume, the work done in process is –
A
alnV1V2+b(V2−V1)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
−alnV2V1−b(V2−V1)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
−alnV1V2−b(V2−V1)
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
alnV2V1+b(V2−V1)
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution
The correct option is DalnV2V1+b(V2−V1) Given : P=aV+b
Work done =∫V2V1PdV=∫V2V1(aV+b)dV =∫V2V1aVdV+∫V2V1bdV=a[lnV]V2V1+b[V]V2V1 =a[lnV2−lnV1]+b(V2−V1) =alnV2V1+b(V2−V1)