The work and heat per degree change of temperature for a process executing a non flow process is given by \(\frac{\delta W}{\delta T}=160 \mathrm{~W} /{ }^{\circ} \mathrm{C}\) and \(\frac{\delta \mathcal{Q}}{\delta T}=200 \mathrm{~J} /{ }^{\circ} \mathrm{C}\). Determine change in internal energy of a system when its temperature increases from \(60^{\circ} \mathrm{C}\) to \(110^{\circ} \mathrm{C}\).