A heated, constant volume tank (=10m3) has an input flow rate =100kg/min, with an input stream that is originally at =295K and an output that is at =330K. The specific heat of the fluid is = 4.18kJ/(kg K), the density is =1000kg/m3. At time =0, the input temperature is ramped at a rate of 0.05K/min, and the heating rate is oscillated with a magnitude of =10^5kJ/min and a frequency of = 0.05min-1. a) Write an expression for the output temperature as a function of time, (). b) Plot this expression out to 1000 minutes.