The molar heat capacity of oxygen gas is given by the expression
\(\mathrm{C}_{\mathrm{v}}=\mathrm{a}+\mathrm{bT}+\mathrm{cT}^{2}\) where
\(\mathrm{a}, \mathrm{b}\) and \(\mathrm{c}\)
are constants. What will be change in internal energy of \(8 \mathrm{~g}\) of
oxygen if it is heated from \(200 \mathrm{~K}\) to \(300 \mathrm{~K}\) at constant
volume? Assume oxygen as an ideal gas. Given \(\mathrm{a}=1.2 \mathrm{JK}^{-1}
\mathrm{~mol}^{-1}, \mathrm{~b}=12.8 \times 10^{-2} \mathrm{JK}^{-2}
\mathrm{~mol}^{-1}\),
\(\mathrm{b}=12.8 \times 10^{-2} \mathrm{JK}^{-2} \mathrm{~mol}^{-1},
\mathrm{c}=3.3 \times 10^{-7} \mathrm{JK}^{-3} \mathrm{~mol}^{-1}\)
(a) \(1000 \mathrm{~J}\)
(b) \(950.15 \mathrm{~J}\)
(c) \(830.5 \mathrm{~J}\)
(d) \(315.5 \mathrm{~J}\)
