please use laplace transform to solve the problem and state the answer clearly

A stirred-tank blending process with a constant liquid holdup of 2m3 is used to blend two streams whose densities are both approximately 900kg/m3. The density does not change during mixing. (a) Assume that the process has been operating for a long period of time with flow rates of w1=500kg/min and w2= 200kg/min, and feed compositions (mass fractions) of x1=0.4 and x2=0.75. What is the steady-state value of x? (b) Suppose that w1 changes suddenly from 500 to 400kg min and remains at the new value. Determine an expression for x(t) and plot it. (c) Repeat part (b) for the case where w2 (instead of w1 ) changes suddenly from 200 to 100kg/min and remains there. (d) Repeat part (c) for the case where x1 suddenly changes from 0.4 to 0.6 (e) For parts (b) through (d), plot the normalized response xN(t) xN(t)=x()x(0)x(t)x(0) where x(0) is the initial steady-state value of x(t) and x() represents the final steady-state value, which is different for each part