The heat capacity at a constant pressure of a certain system is a function of temperature only and is expressed as

\(Cp = 2.093 + \frac{{41.87}}{{t + 100}}~J/^\circ C\)

Where t is the temp of the system in °C System is maintained at 1 atmospheric Pressure Until its volume increases from 2000 cm3 to 2400 cm3 and its temperature increases from 0°C to 100°C find how much the internal energy of the system increases in joules.