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Question
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 |
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Solution
| 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 | 0.2 | 4.0 × 10−2 |
| III | 0.4 | 0.4 | 8.0 × 10−2 |
| IV | 0.1 | 0.2 | 2.0 × 10−2 |
The rate of the reaction is given by,
Rate = k [A]1 [B]0
⇒ Rate = k [A]
From experiment I, we obtain
2.0 × 10−2 mol L−1 min−1 = k (0.1 mol L−1)
⇒ k = 0.2 min−1
From experiment II, we obtain
4.0 × 10−2 mol L−1 min−1 = 0.2 min−1 [A]
⇒ [A] = 0.2 mol L−1
From experiment III, we obtain
Rate = 0.2 min−1 × 0.4 mol L−1
= 0.08 mol L−1 min−1
= 8.0 × 10−2 mol L−1 min−1
From experiment IV, we obtain
2.0 × 10−2 mol L−1 min−1 = 0.2 min−1 [A]
⇒ [A] = 0.1 mol L−1
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