Problems

* Answers to problems with an asterisk are at the back of the book.

D1.* Repeat Example 10-1 for an average column pressure of 700.0 kPa.

D2.* Repeat Example 10-2, except calculate the diameter at the bottom of the column. For n-heptane:
- Molecular weight (MW) = 100.2
- Boiling point (bp) = 98.4°C
- Specific gravity = 0.684
- Viscosity at 98.4°C = 0.205 cP
- Surface tension at 98.4°C = 12.5 dynes/cm

EXAMPLE 10-2. Diameter calculation for tray column:

Determine the required diameter at the column top for the distillation column in Example 10-1, Figure 10-21.

D5. Repeat Example 10-2 except calculate the diameter at the bottom of the column at a pressure of 700.0 kPa. The surface tension of pure n-heptane at 20°C is 20.14 dynes/cm.

The diameter at the bottom of the column at a pressure of 700.0 kPa can be calculated using the given values and the principles of tray column design. The surface tension of pure n-heptane at 20°C is 20.14 dynes/cm.

Explanation:

To calculate the diameter at the bottom of the column at a pressure of 700.0 kPa, we can use the same principles as in Example 10-2. However, we need to consider the specific pressure and surface tension of n-heptane.

First, we need to determine the liquid density at the bottom of the column. We can use the ideal gas law to calculate the liquid density:
PV = nRT
Next, we can calculate the liquid height in the column using the pressure and liquid density:
h = P / (ρg)
Then, we can calculate the liquid volume in the column:
V = πr^2h
Finally, we can calculate the diameter at the bottom of the column using the liquid volume and surface tension:
d = (4V / (πh))^(1/2)

By substituting the given values and solving the equations, we can find the diameter at the bottom of the column at a pressure of 700.0 kPa.

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