**Reference:**

This is from E.M. Rosen and R. N. Adams, “A Review of Spreadsheet Usage in Chemical Engineering Calculations”, Computers and Chemical

Engineering, Vol. 11, No. 6, pp. 723-736, but they took it from Henley and Rosen, “Materal and Energy Balance Computations”, Wiley, NY 1969 pg. 362. Very similar to an earlier problem that we did from Cutlip and Shacham.

**Problem Description:**

**We need to find the composition of a ‘batch distillation‘ as a function of time. Essentially, we need to solve the following ODE:**

**dx _{w}/dt = -[D/W(t)]*(y – x_{w})**

**t = time, hours**

**x _{w} = liquid composition, dimensionless**

**W(t) = -D*t + W(0), total amount remaining in ‘pot’, kg
**

**D = overhead rate, kg/hr**

**y = α*x _{w}/[1 + x_{w} *(α – 1)], vapor composition, dimensionless**

**α = relative volatility, dimensionless**

**Initial Conditions:**

**D = 10.o kg/hr**

**W(0) = 100 kg**

**What is the composition at t = 5 hr? Not so bad, we just need to solve a single initial value ODE. Piece ‘o cake.**