Consider the graph given in Fig. 4.2. Which of the following options does not show instantaneous rate of reaction at 40^th second?

I. $\frac{{\mathbf{V}}_5-{\mathbf{V}}_2}{50-30}$

II. $\frac{{\mathbf{V}}_4-{\mathbf{V}}_2}{50-30}$

III. $\frac{{\mathbf{V}}_3-{\mathbf{V}}_2}{40-30}$

IV. $\frac{{\mathbf{V}}_3-{\mathbf{V}}_1}{40-20}$

<p>This is a Fill in the blanks Type Question as classified in NCERT Exemplar</p><p><strong>Ans:&nbsp;</strong>Correct option B</p><p>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.</p><p>&nbsp;</p><p>Instantaneous rate can be determined graphically by drawing a tangent on the curve</p><p>Instantaneous reaction=<span contenteditable="false"> <math> <mfrac> <mrow> <mrow> <mi mathvariant="normal">C</mi> <mi mathvariant="normal">h</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">n</mi> <mi mathvariant="normal">g</mi> <mi mathvariant="normal">e</mi> <mi mathvariant="normal"> </mi> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">n</mi> <mi mathvariant="normal"> </mi> <mi mathvariant="normal">C</mi> <mi mathvariant="normal">o</mi> <mi mathvariant="normal">n</mi> <mi mathvariant="normal">c</mi> <mi mathvariant="normal">e</mi> <mi mathvariant="normal">n</mi> <mi mathvariant="normal">t</mi> <mi mathvariant="normal">r</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">t</mi> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">o</mi> <mi mathvariant="normal">n</mi> <mi mathvariant="normal"> </mi> </mrow> </mrow> <mrow> <mrow> <mi mathvariant="normal">C</mi> <mi mathvariant="normal">h</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">n</mi> <mi mathvariant="normal">g</mi> <mi mathvariant="normal">e</mi> <mi mathvariant="normal"> </mi> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">n</mi> <mi mathvariant="normal"> </mi> <mi mathvariant="normal">t</mi> <mi mathvariant="normal">i</mi> <mi mathvariant="normal">m</mi> <mi mathvariant="normal">e</mi> </mrow> </mrow> </mfrac> </math> </span></p><p>Option B is incorrect since the line travels through the graph but does not link to any of the Y axis lines. As a result, option B is incorrect.</p>

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