Problem $1(50\%)$

A tank contains $5m^3$ of water up to the end as shown below. The temperature of the water in tank is initially at $25C.$ If the valve is suddenly opened to supply water at a rate of $0\mathrm{.}1\frac{m^3}{h}r$ temperature of $75C.$ Calculate the temperature in the tank as a function of time. What is the ste state temperature in the tank?