# 50% of a zero order reaction completes in 50 minutes. 100% of the some reaction under similar conditions shall complete in Option 1) 50 min Option 2) 100 min Option 3) 200 min Option 4) Infinite time

As we learned in concept

Zero Order Reaction -

Zero order reaction means that the rate of the reaction is proportional to zeroth power of the concentration of reactants

- wherein

$R\rightarrow P$

$Rate=\frac{-d(R)}{dt}=K[R]^{0}=K$

$t_\frac {1}{2}=$ time required for half completion of reaction$=\frac{a}{2k}$

Initial amount of reactant =a (lets say)

Then , after $t_{\frac{1}{2}}$, amount left =$\frac{a}{2}$

Rate = $k= \frac{a}{2*50}= \frac{a}{100}$

So, amount a will be consumed in $\frac{a}{k}$ time.

$=\frac{a}{\frac{a}{100}}$

$=100 \: \: min$

Option 1)

50 min

Incorrect option

Option 2)

100 min

Correct option

Option 3)

200 min

Incorrect option

Option 4)

Infinite time

Incorrect option

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