The volume `(V)` of a monatomic gas varies with its temperature `(T)` as shown in the graph. The ratio of work done by the gas, to the heat absorbed by it, when it undergoes a change from state `A` to state `B`,is

Options

A. `(1)/(3)`
B. `(2)/(7)`
C. `(2)/(3)`
D. `(2)/(5)`

Answer

D

Explanation

From graph , `(V)/(T) = (nR)/(P) =` cosntant or P= constant
Isobaric process,
`(Delta W)/(Delta Q) = (nR Delta T)/(n C_(P) Delta T) = (R )/(5 R // 2) = (2)/(5)`