Question

An ideal gas at pressure volume and temperature `P_(0), V_(0) and T_(0)` respectively is heated to point B, allowed to expand to point C, and then returned to the original, point A. points B and C have the same temperatures The internal energy decreases by `(3P_(0)V_(0)//2)` in going from point C to A Heat tranfer along the process CA is

A. `(+P_(0)V_(0)//2)`
B. `(-5P_(0)V_(0)//2)`
C. `(-3P_(0)V_(0)//2)`
D. 0

Answer 1

Correct Answer - B
`T_(B)=T_(C)`
`(P_(B)V_(B))/(nR)=(P_(c)V_(c))/(nR)`
`P_(B)V_(B)=P_(C)V_(C)`
`2P_(0)xxV_(0)=P_(0)xxV_(C)`
`V_(C)=2V_(0)`
`T_(C)=P_(0)xx2v_(0)`
nR
`T_(A)=(P_(0)V_(0))/(nR)`
`DeltaU=-3/2P_(0)V_(0)`
`Deltaomega=-P_(0)V_(0)`
`DeltaQ=-5/2P_(0)V_(0)`