Question

75% of the first order reaction is completed in 30 minutes. Calculate rate constant of the reaction

Answer 1

it will take half live for completion of 75%

hope it's helpful....

Answer 2

The rate constant of the reaction is $0.05min^{-1}$

Explanation:

Expression for rate law for first order kinetics is given by:

$t=\frac{2.303}{k}\log\frac{a}{a-x}$

where,

k = rate constant  = ?

t = time taken for decomposition = 30 minutes

a = let initial amount of the reactant  = 100 g

x = amount decayed =$\frac{75}{100}\times 100=75$

a - x = amount left after decay process  = 100 - 75 = 25g

Now put all the given values in above equation, we get

$30=\frac{2.303}{k}\log\frac{100}{25}$

$k=0.05min^{-1}$

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