Q. 96 Air at $400 \mathrm{~K}$ and $200 \mathrm{kPa}$ is heated at constant pressure to $600 \mathrm{~K}$. Assuming that the internal energy is a function of temperature only, the magnitude of change in internal energy during this process is $\mathrm{kJ} / \mathrm{kmol}$ (rounded off to one decimal place).
Use the following data:
Molar specific heat of air at constant volume: $\bar{c}_{v}(\mathrm{~kJ} / \mathrm{kmol}-\mathrm{K})=a+b T+c T^{2}$ where $T$ is temperature in $\mathrm{K}, a=19.686 \mathrm{~kJ} / \mathrm{kmol}-\mathrm{K}, b=0.002 \mathrm{~kJ} / \mathrm{kmol}^{2}$ and $c=0.5 \times 10^{-5} \mathrm{~kJ} / \mathrm{kmol}^{3}$.
