Intermolecular Forces

Step 1: Understanding Rate of Reaction
For a general reaction:

aA%20%2B%20bB%20%5Crightarrow%20cC%20%2B%20dD

The rate of reaction is given by:

%7BRate%7D%20%3D%20-%5Cfrac%7B1%7D%7Ba%7D%20%5Cfrac%7Bd%5BA%5D%7D%7Bdt%7D%20%3D%20-%5Cfrac%7B1%7D%7Bb%7D%20%5Cfrac%7Bd%5BB%5D%7D%7Bdt%7D%20%3D%20%5Cfrac%7B1%7D%7Bc%7D%20%5Cfrac%7Bd%5BC%5D%7D%7Bdt%7D%20%3D%20%5Cfrac%7B1%7D%7Bd%7D%20%5Cfrac%7Bd%5BD%5D%7D%7Bdt%7D

Step 2: Given Reaction and Rate Expression
For the reaction:

2A%20%5Crightarrow%20B%20%2B%203C

The rate of reaction is:

%7BRate%7D%20%3D%20-%5Cfrac%7B1%7D%7B2%7D%20%5Cfrac%7Bd%5BA%5D%7D%7Bdt%7D%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cfrac%7Bd%5BC%5D%7D%7Bdt%7D

Since it is a zero-order reaction, the rate is constant:

%7BRate%7D%20%3D%20k

Step 3: Finding the Rate of Production for "C"
Rearranging for

C

%5Cfrac%7Bd%5BC%5D%7D%7Bdt%7D%20%3D%203%20%5Ctimes%20k

Given

k%20%3D%203.5%20%5Ctimes%2010%5E%7B-4%7D

mol L

%5E%7B-1%7D

%5E%7B-1%7D

%5Cfrac%7Bd%5BC%5D%7D%7Bdt%7D%20%3D%203%20%5Ctimes%20(3.5%20%5Ctimes%2010%5E%7B-4%7D)

%3D%2010.5%20%5Ctimes%2010%5E%7B-4%7D%20%7B%20mol%20L%7D%5E%7B-1%7D%20%7B%20s%7D%5E%7B-1%7D

Step 4: Conclusion
Thus, the rate of production of C is:

10.5%20%5Ctimes%2010%5E%7B-4%7D%20%7B%20mol%20L%7D%5E%7B-1%7D%20%7B%20s%7D%5E%7B-1%7D

Chapter Questions
1 MCQs