An organic compound undergoes first-order decomposition. The time taken for its decomposition to 1/8 and 1/10 of its initial concentration are t1/8 and t1/10 respectively. What is the value of \frac{\left[\right. t_{1 / 8} \left]\right.}{\left[\right. t

Engineering

Chemistry

Electrolytes and Types

Question

An organic compound undergoes first-order decomposition. The time taken for its decomposition to 1/8 and 1/10 of its initial concentration are t_1/8 and t_1/10 respectively. What is the value of $\frac{[t_{1 / 8}]}{[t_{1 / 10}]} \times 10$ ?

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$t = \frac{1}{K} \ln \frac{a}{a - x}$

$\frac{1}{8} = \frac{1}{K} \ln \frac{1}{1 / 8} = \frac{1}{K} \times 3 \times \cdot 3$

$\frac{1}{10} = \frac{1}{K} \ln \frac{1}{1 / 10} = \frac{1}{K} \times 1$

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