The reaction 2X→B is a zeroth order reaction. If the initial concentration of X is 0.2M, the half-life is 6 h. When the initial concentration of X is 0.5M, the time required to reach its final concentration of 0.2M will be

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The reaction $2 X \to B$ is a zeroth order reaction. If the initial concentration of X is $0.2 M$ , the half-life is $6 h$ . When the initial concentration of X is $0.5 M$ , the time required to reach its final concentration of $0.2 M$ will be

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9.0 h

18.0 h

7.2 h

12.0 h

answer is A.

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Detailed Solution

$For zero - order \begin{aligned} [A_{0}] - [A_{1}] = kt \\ 0 .2 - 0 .1 = k \times 6 \\ k = \frac{1}{60} M / hr \end{aligned} and 0 .5 - 0 .2 = \frac{1}{60} \times t t = 18 hrs$