Question #45035

1 Answer
Apr 12, 2017

Answer:

We can understand it through the derivation of half life for 1st order reaction.

Explanation:

Equation for 1st order reaction is:

#k = 2.303/t × log_10(["A"_0]/["A"])#

Where,
#k# = rate constant
#["A"]# = concentration after time #t#
#["A"_0]# = initial concentration

For half life, #["A"]# = #["A"_0]/2#

Therefore,
#k = 2.303/"t"_½ × log_10( ["A"_0]/(["A"_0]/2))#

#k = 2.303/"t"_½× log_10(2)#

#k = 2.303/"t"_½ × 0.301#

#k = 0.693/"t"_½#

Therefore, the equation for half life of first order reaction is independent of concentration and thus independent of stoichiometric ratio.