Question 12

The reaction between A and B is first order with respect to A and zero order with respect to B. Fill in the blanks in the following table:

Experiment

A/ mol L - 1

B/ mol L - 1

Initial rate/mol L - 1 min - 1

I 0.1 0.1

2.0 × 10 - 2

II -- 0.2

4.0 × 10 - 2

III 0.4 0.4 --
IV -- 0.2

2.0 × 10 - 2

 

Answer

The given reaction is of the first order with respect to A and of zero order with respect to B.

Therefore, the rate of the reaction is given by,

Rate = k [A]1[B]0

⇒ Rate = k [A]

From experiment I, we obtain

2.0 x 10-2mol L-1min-1= k (0.1 mol L-1)

= 0.2 min-1

From experiment II, we obtain

4.0 x 10-2mol L-1min-1= 0.2 min-1[A]

⇒ [A] = 0.2 mol L-1

From experiment III, we obtain

Rate = 0.2 min-1 x 0.4 mol L-1

= 0.08 mol L-1min-1

From experiment IV, we obtain

2.0 x 10-2mol L-1min-1= 0.2 min-1[A]

⇒ [A] = 0.1 mol L-1

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