Question

If one percent of reactant decomposes in first order reaction in one minute calculatr how much reactant woukd ramaina undecomposed

Answer 1

Answer:

54.46

Explanation:

You're question is incomplete

It'll be '.... How much reactent will be left after 1 hour'

Answer 2

The given question is incomplete. The complete question is

If one percent of the reactant decomposed in first order reaction, in one minute calculate how much reactant would remain undecomposed after one hour.

55.5 % much reactant would ramain undecomposed after 1 hour

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 = age of sample = 1 min

a = let initial amount of the reactant = 100

x = amount decomposed =$\frac{1}{100}\times 100=1$ 

a - x = amount left after decay process = (100-1) = 99

a) for calculation of rate constant

$1min=\frac{2.303}{k}\log\frac{100}{99}$

$k=\frac{2.303}{1}\log\frac{100}{99}=0.010min^{-1}$

b) to calculate amount of reactant that would remain un decomposed

$60min=\frac{2.303}{0.010}\log\frac{100}{(a-x)}$

$\log\frac{100}{(a-x)}=0.26$

$\frac{100}{(a-x)}=1.8$

${(a-x)}=55.5$

Thus 55.5 % much reactant would remain undecomposed after 1 hour

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