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

  • [NEET 2017]
  • A

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

  • B

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

  • C

    $\;\frac{{R \Delta T}}{{\gamma  - 1}}$

  • D

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

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