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
B
150 min
C
175 min
D
200 min

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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