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CUET · CHEMISTRY · PYQ PAPER 2023

For the reaction \(x + y \rightarrow z\),
rate law expression is rate \(= k [x] [y]^3\).
1 If the volume of the vessel is reduced to of its original volume, then rate of reaction will 3:

  1. A decrease 81 times.
  2. B increase 81 times.
  3. C decrease 9 times.
  4. D increase 27 times.
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Answer & Solution

Correct Answer

(B) increase 81 times.

Step-by-step Solution

Detailed explanation

\( [x]' = 3[x] \), \( [y]' = 3[y] \) \( \text{rate}' = k [x]' [y]'^3 \) \( \text{rate}' = k (3[x]) (3[y])^3 = k \cdot 3 \cdot 27 [x] [y]^3 \) \( \text{rate}' = 81 \cdot (k [x] [y]^3) = 81 \cdot \text{rate} \) increase 81 times.
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