MCQ
$1\,mol$ of oxygen gas are heated at constant volume from $20\,^oC$ to $30\,^oC$ . What will be change in the internal energy of gas? Molar heat capacity of oxygen at constant pressure, $ C_P= 7.03\,cal\,mol^{-1}\,K^{-1}$ and $R = 2\,cal\,mol^{-1}\,K^{-1}$ ? .....$cal$
  • $50.3$
  • B
    $225.5$
  • C
    $300$
  • D
    $275.5$

Answer

Correct option: A.
$50.3$
a
$\mathrm{C}_{\mathrm{p}}-\mathrm{C}_{\mathrm{V}}=\mathrm{R} \Rightarrow \mathrm{C}_{\mathrm{v}}=7.03-2=5.03$

$\Delta \mathrm{E}=\mathrm{n} \mathrm{C}_{\mathrm{V}} \Delta_{\mathrm{T}}=1 \times 5.03 \times 10 \Rightarrow \Delta \mathrm{E}=50.3\, \mathrm{cal}$

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