$5 \, mol$ of an ideal gas at $100 \, K$ are allowed to undergo reversible compression till its temperature becomes $200 \, K$. If $C_v = 28 \, J \, K^{-1} \, mol^{-1}$,calculate $\Delta U$ and $\Delta pV$ for this process. $(R = 8.0 \, J \, K^{-1} \, mol^{-1})$

  • A
    $\Delta U = 2.8 \, kJ ; \Delta (pV) = 0.8 \, kJ$
  • B
    $\Delta U = 14 \, kJ ; \Delta (pV) = 4 \, kJ$
  • C
    $\Delta U = 14 \, kJ ; \Delta (pV) = 18 \, kJ$
  • D
    $\Delta U = 14 \, kJ ; \Delta (pV) = 0.8 \, J$

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