An ideal gas whose adiabatic exponent `(gamma)` equal 1.5, expands so that the amount of heat transferred to it is equal to the decrease in its internal energy. Find the `T - V` equation for the process

Options

A. `TV =` constant
B. `TV^(1//4) =` constant
C. `T^(1//4)V =` constant
D. `TV^(1//4) =` constant

Answer

B

Explanation

`2 dQ = dW`
`rArr -2C_(v) dT = pdV`
`rArr (-2R)/(gamma - 1) dT = pdV`
`rArr (2R)/(gamma - 1) dT + (RT)/(V) = 0`
`TV^((gamma - 1)//2)=` constant