To calculate the internal energy of the system, use the first law of thermodynamics and the equations for work and heat. Substitute the given values into the equations to find the change in internal energy.
The internal energy of a system can be calculated using the first law of thermodynamics, which states that the change in internal energy of a system is equal to the heat added to the system minus the work done by the system:
ΔU = Q - W
In this case, the system is an ideal gas undergoing an isobaric expansion, which means the pressure remains constant. The work done by the gas can be calculated using the equation:
W = -PΔV
where P is the external pressure and ΔV is the change in volume. The heat added to the system can be calculated using the equation:
Q = nCΔT
where n is the number of moles of gas, C is the molar specific heat capacity, and ΔT is the change in temperature. By substituting the given values into the equations, you can calculate the change in internal energy of the system.