Additional Homework Problems

CDP5-A_B Solution

First, we will list the known values:

AgClO₄ + CH₃ICH₃ClO₄ + AgI

A + BC + D Batch Process
V = 30 dm³
C_Ao = 0.5 mol/dm³
C_Bo = 0.7 mol/dm³
r_B = -kC_BC_A^3/2 at T = 298 K
k = 0.00042 (dm³/mol)^3/2/s
Final X = 0.98

Mole Balance

Rate Law

r_A = r_B = -kC_BC_A^3/2

Stoichiometry

Combine

Combining the above equations, we arrive at:

Evaluate

The final equation, with all values entered, is:

This equation can only be solved numerically, unless you really enjoy integration. The Polymath simultaneous differential equation solver may be used to solve the problem quickly and easily. The Polymath equations used should look like this:

After Polymath solves the equations, it gives a chart of initial, maximum, minimum, and final values:

From these results, we can see that the final time (and therefore the time to reach 98% conversion) is

t = 162531 s = 45.15 hr

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