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Question

A first order reaction is $$75 \% $$ completed in $$100 $$ minutes. How long time will it take for it's $$ 87.5 \% $$ completion?


A
125 min
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B
150 min
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C
175 min
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D
200 min
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Solution

The correct option is B $$150\ min$$
$$\underbrace { 100\% }_{ Remaining } \xrightarrow [ 1\quad half time ]{ after } \underbrace { 50\% }_{ Remaining } \xrightarrow [ 2\quad half time ]{ after } \underbrace { 25\% }_{ Remaining } \xrightarrow [ 3\quad half time ]{after  } \underbrace {12.5\%  }_{ Remaining } $$

After 2 half times $$75\%$$ reactions is complete 
$$\Rightarrow $$ half time $$=50$$ minutes
.
After 3 half times $$87.5\%$$ reactions is complete.
$$\Rightarrow 3\times 50$$ minutes $$=150$$ Minutes. 

Chemistry

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