A monoatomic ideal gas undergoes a process in which the ration of `P` to `V` at any instnat is constnat and equal to unity The molar heat capacity of gas is .

Options

A. `2.0 R`
B. `1.5 R`
C. `2.5 R`
D. `0`

Explanation

Let `P,V` be the pressure and volume of gas at temperature `T`
`P_(1)V_(1) =RT`
`P_(2) (V_(1)) +dV =R (T +1)`
`:. P_(2)^(2) =RT +R ( :. (P_(2))/(V_(1)+dV) =1)`
`:. 22((deltaP_(2))/(delta))_(V) =R`
`((deltaP_(2))/(deltaT))=(R)/(2)`
`:. C =C_(v) + (deltaP)/(deltaT) = (3R)/(2) + (R)/(2) =2R` .