Chemistry Reaction Kinetics SZABMU 2024
PMDC Verified Question 5 of 80
Which of the following is the unit of rate of reaction?
A
\( \text{mol}^{-1}\text{dm}^3\text{s}^{-1} \)
B
\( \text{mol}\cdot\text{dm}^3\text{s}^{-1} \)
C
\( \text{mol}\cdot\text{dm}^{-3}\text{s} \)
D
\( \text{mol}\cdot\text{dm}^{-3}\text{s}^{-1} \)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option D: \( \text{mol}\cdot\text{dm}^{-3}\text{s}^{-1} \)
Concept:

The rate of a reaction is defined as the change in concentration over a specific period of time.

Formula:

$$ \text{Rate} = \frac{\text{Concentration}}{\text{Time}} $$

Solution:

  • The standard SI-derived unit for chemical concentration is moles per cubic decimeter (\( \text{mol dm}^{-3} \)).
  • The standard unit for time is seconds (\( \text{s} \)).
  • Dividing the two yields: \( \frac{\text{mol dm}^{-3}}{\text{s}} \).
  • Using exponent rules to bring seconds to the numerator gives: \( \text{mol dm}^{-3} \text{s}^{-1} \), which is structurally represented in option D.


Why other options are incorrect:

Option B represents \( \text{mol dm}^{3} \text{s}^{-1} \) (wrong sign on dm). Option A inverted the mole unit. Option C puts time in the numerator (\( \text{s} \) instead of \( \text{s}^{-1} \)).

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