Problem $10$: $(10$ pts$)$ A computer system is located in an air$-$conditioned closed room and dissipates energy at a rate of $10$ kW $.$ The room contains $50$ kg of wood, $75$ kg of steel, and $200m^3$ air, all at $300$ K and pressure of $100$ kPa $.($:$k\frac{J}{k}gK,c_{p,\text{w}\text{o}\text{o}\text{d}}=1\mathrm{.}76\frac{kJ}{k}gK$