Question

Consider the graph given in figure. Which of the following options does not show instantaneous rate of reaction at 40^th second?

Options

• ${\displaystyle \frac{{\text{V}}_5-{\text{V}}_2}{50-30}}$

• ${\displaystyle \frac{{\text{V}}_4-{\text{V}}_2}{50-30}}$

• ${\displaystyle \frac{{\text{V}}_3-{\text{V}}_2}{40-30}}$

• ${\displaystyle \frac{{\text{V}}_3-{\text{V}}_1}{40-20}}$

Answer 1

${\displaystyle \frac{{\text{V}}_4-{\text{V}}_2}{50-30}}$

Explanation:

Reaction occurring at the smallest time interval is known as instantaneous rate of reaction. For e.g the instantaneous rate of reaction at 40s is the rate of reaction during a small interval of time close to 40s. Volume changes during a small-time interval close to the 40s.

Instantaneous rate can be determined graphically by drawing a tangent on the curve

Instantaneous reaction = ${\displaystyle \frac{\text{Change in concentration}}{\text{Change in time}}}$

Since the line travel through the graph but does not link to any of the Y-axis lines.