For a steam-heated stirred-tank system modeled by the following equations, assume that the system temperature T_s and is constant. m*c dT/dt = w*c*(T_i-T)+h_p*A_p*(T_w-T) m_w*c_w dT_w/dt =...

For a steam-heated stirred-tank system modeled by the following equations, assume that the system temperature T_s and is constant.

m*c dT/dt = w*c*(T_i-T)+h_p*A_p*(T_w-T)

m_w*c_w dT_w/dt = h_s*A_s*(T_s-T_w)-h_p*A_p*(T_w-T)

a.) Find a transfer function relating tank temperature T and the inlet liquid temperature T_i.

b.) What is the steady-state value for this choice of input and output?