A stirred tank blending process with a constant liquid holdup of 2m³ is used to blend two streams whose densities are both approximately 900 kg/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 = 500 kg/min and w₂= 200 kg/min, and feed compositions (mass fractions) of x₁ = 0.4 and x2 = 0.75. What is the steady state value x b. Suppose that w₁ changes suddenly from 500 to 400 kg/min and remains at the new value. Determine an expression for x (t) and plot it 23 c. Repeat part (b) for the case where w₂ (instead of w₁) changes suddenly from 200 to 100 kg/min and remains there d. Repeat part (c) for the case where x₁ suddenly changes from 0.4 to 0.6 e. For parts (c) and (d), plot the response x(t) and the normalized response, XN XN(t) = x(t) = x(0) x(∞) - x(0) Where x(0) is the initial steady-state value of x(t) and x(∞) is the final steady-state value which is different for each part Note: T = υρ W is the same for question c, d and e 29