The volume of 1 mole of an ideal gas with the adiabatic exponent $$\gamma$$ is changed according to the relation $$V = \frac{b}{T}$$ where b = constant. The amount of heat absorbed by the gas in the process if the temperature is increased by $$\triangle T$$ will be:

A

$$\left(\frac{1 - \gamma}{\gamma + 1}\right)R \triangle T$$

B

$$\frac{R}{\gamma - 1}\triangle T$$

C

$$\left(\frac{2 - \gamma}{\gamma - 1}\right)R \triangle T$$

D

$$\frac{R \triangle T}{\gamma - 1}$$