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  • I have a doubt, kindly clarify. - Decomposition of X exhibits a rate constant of 0.05. How many years are required for the decomposit - Chemical kinetics - JEE Main

Decomposition of X exhibits a rate constant of 0.05 \mu g/year. How many years are required for the decomposition of 5 \mu g of X into 2.5 \mu g ?

  • Option 1)

    25

  • Option 2)

    40

  • Option 3)

    20

  • Option 4)

    50

Answers (1)

best_answer

 

Rate Determining Step -

The overall rate of reaction is controlled by the slowest step in a reaction called the rate determining step.

- wherein

e.g.

2H_{2}O_{2}\xrightarrow[alkaline\ medium]{I^{-}}2H_{2}O+O_{2}

r=\frac{-d[H_{2}O_{2}]}{dt}=K[H_{2}O_{2}][I^{-}]

H_{2}O_{2}+I^{-}\underset{slow}{\rightarrow}H_{2}O+IO

H_{2}O_{2}+IO^{-}\underset{fast}{\rightarrow}H_{2}O+I+O_{2}^{-}

As wehave learned in zero order reaction unit of rate constant it is zero order reaction then half life of the reaction will be

t_{\frac{1}{2}}= \frac{c_{o}}{2k}=\frac{5\mu g}{2\times 0.05\mu g}/year=50years

 


Option 1)

25

Option 2)

40

Option 3)

20

Option 4)

50
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