I only need problem 2.10 worked out. It is asking that Example 2.1 (b) be reworked under new constraints. Please only work this new problem and show equations. Previous answers keep simply working out 2.1 even though I literally provided the answer. I ONLY need 2.10 worked out. Please do not copy/reuse old answers an they were wrong and unhelpful. Thanks

2.10 Example 2.1 plots responses for changes in input flows for the stirred tank blending system. Repeat part (b) and plot it. Next, relax the assumption that V is constant, and plot the response of x(t) and V(t) for the change in w1 for t=0 to 15 minutes. Assume that w2 and w remain constant. 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 steadystate 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. (b) The component balance in Eq. 2-3 can be rearranged (for constant V and ) as dtdx+xx(0)=ww1x1+w2x2=x=0.5 where V/w. In each of the three parts, (b) (d), =3min and the right side of Eq. 219 is constant for this example. Thus, Eq. 2-19 can be written as 3dtdx+x=Cx(0)=0.5 where Cnww1x1+w2x2 The solution to Eq. 2-20 can be obtained by applying standard solution methods (Kreyszig, 2011): x(t)=0.5et/3+Cn(1et/3) For case (b), C=600kg/min(400kg/min)(0.4)+(200kg/min)(0.75)=0.517 Substituting C into Eq. 2-22 gives the desired solution for the step change in w1 : x(t)=0.5et/3+0.517(1et/3)