Question

Half Life of ts reaction is independent of concentration of reactant. After 10 minutes volume of N2 gas is 10 litre and after complete reaction 100 litre.the rate constant of the reaction in minute inverse unit is

Answer 1

Given, Half Life of the reaction is independent of concentration of reactant.

So, it is a 1st order reaction.

Given, Time (t) = 10 minutes.
Initial reactant (n.) = 100 litre.
Final reactant (n) = 10 litre.

Thus,
$k = \frac{2.303}{t} \times log( \frac{n.}{n} )$

So, putting the values in the formula :
$k = \frac{2.303}{10} \times log( \frac{100}{10} ) \\ \: \: \: \: = \frac{2.303}{10} \times 1 \\ \: \: \: \: = 0.2303 \: {m}^{ - 1} .$