Ncert Exercises & Solutions

Consider the graph given in the figure. Which of the following options does not show an instantaneous rate of reaction in the 40s?

1. ${V_5 -V_2 \over 50-30}$
2. ${V_4 -V_2 \over 50-30}$
3. ${V_3 -V_2 \over 40-30}$
4. ${V_3 -V_1 \over 40-20}$

(2) HINT: Use formula of instantaneous rate.

Reaction occurring at the smallest time interval is known as the instantaneous rate of reaction at 40 s is rale of a reaction during a small interval of e.g. time close to 40 s. Volume change during a small time interval close to 40 s ie., 40- 30 s, 50- 40 s, 50- 30 s, 40-20s

$Instantaneous rate of reaction = \frac{Change in volume}{Time interval close to 40 s}$

$\begin{array}{l} (1) r_{inst} (20 s) = \frac{V_{5} - V_{2}}{50-30} correct \\ (2) r_{inst} (20 s) = \frac{V_{4} - V_{3}}{50 - 30} incorrect, correct is \frac{V_{5} - V_{3}}{50 - 30} \\ (3) r_{inst} (10 s) = \frac{V_{3} - V_{2}}{40 - 30} correct \\ (4) r_{inst} (20 s) = \frac{V_{3} - V_{1}}{40 - 20} correct \end{array}$

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