The half-life for the first-order reaction H2O2(aq) → H2O(l) + ½O2(g) is 30 minutes. If the volume o

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The half-life for the first-order reaction H2O2(aq) → H2O(l) + ½O2(g) is 30 minutes. If the volume of O2(g) collected is 100 ml after a long time, then the volume of O2(g) collected (at the same pressure and temperature) after 60 minutes from the start of reaction is

Accepted Answer

$t = \frac{t_{1/2}}{\log 2}.\log\frac{V_{\infty}}{V_{\infty} - V_{t}}$$\Rightarrow 60 = \frac{30}{\log 2}.\log\frac{100}{100 - V_{t}} $$$	herefore V_{t} = 75	ext{ min}$$

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