$A$ container contains $1 \text{ mole}$ of a gas with molar mass $M$ and adiabatic index $\gamma = C_P/C_V$. The container is moving with a velocity $v$. When it suddenly stops,the kinetic energy of the container is converted into the internal energy of the gas. The rise in the temperature of the gas is:

  • A
    $\frac{Mv^2}{2R(\gamma + 1)}$
  • B
    $\frac{Mv^2(\gamma - 1)}{2R}$
  • C
    $\frac{Mv^2}{2R(\gamma - 1)}$
  • D
    $\frac{Mv^2}{2R}$

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