A tank is shown in the above figure with two inlets $($temperatures$,$ flow rates, and specific heat capacity$)$ and one outlet. The tank is well insulated. The tank is constantly heated at $1050k\frac{J}{m}in,$ and the mixer rotates at $3000$ RPM$.$ The work of the mixer done to the liquid in the tank is $10\mathrm{.}8*$ rpm $(k\frac{J}{m}in).$ The mass amount inside the tank is constant.

Write the ODE equations for the composition change over time for the outlet

What is the composition of the outlet at the steady state?

Write the ODE equation for the outlet temperature over time

What is the outlet temperature at the steady state?