Answer:
[tex]u_{2} = 425\,\frac{kJ}{kg}[/tex]
Explanation:
The Energy Balance is modelled after the First Law of Thermodynamics for a closed system:
[tex]-Q_{out} + W_{in} = m\cdot (u_{2}-u_{1})[/tex]
The final specfic internal energy is cleared inside the formula:
[tex]u_{2}=u_{1}+\frac{W_{in}-Q_{out}}{m}[/tex]
[tex]u_{2} = 450\,\frac{kJ}{kg} + \frac{75\,kJ-150\,kJ}{3\,kg}[/tex]
[tex]u_{2} = 425\,\frac{kJ}{kg}[/tex]