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The half-life for the first-order reaction \( \mathrm{H}_{2} \mathrm{O}_{2}(\mathrm{aq}) \) \( \rightarrow \mathrm{H}_{2} \mathrm{O}(\mathrm{l})+\frac{1}{2} \mathrm{O}_{2}(\mathrm{~g}) \) is 30 minutes. If the volume of \( \mathrm{O}_{2}(\mathrm{~g}) \) collected is \( 100 \mathrm{ml} \) after a long time, then the volume of \( \mathrm{O}_{2}(\mathrm{~g}) \) collected (at the same pressure and temperature) after 60 minutes from the start of reaction is
(a) \( 25 \mathrm{ml} \)
(b) \( 12.5 \mathrm{ml} \)
(c) \( 75 \mathrm{ml} \)
(d) \( 50 \mathrm{ml} \)
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