One mole of an ideal gas $\left( {\frac{{{C_p}}}{{{C_v}}} = Y} \right)$ heated by law $P = \alpha V$ where $P$ is pressure of gas, $V$ is volume, $\alpha $ is a constant. What is the molar heat capacity of gas in the process

  • A

    $C = \frac{R}{{\gamma  - 1}}$

  • B

    $C = \frac{{\gamma R}}{{\gamma  - 1}}$

  • C

    $C = \frac{R}{2}\frac{{\left( {\gamma  - 1} \right)}}{{\left( {\gamma  + 1} \right)}}$

  • D

    $C = \frac{R}{2}\frac{{\left( {\gamma  + 1} \right)}}{{\left( {\gamma  - 1} \right)}}$

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