Question

The three by fourth of a first order reaction is completed in 32 minutes what is the half life period for reaction

Answer 1

The half life period for the reaction is 16.1 min

• Let, k be the rate constant

• t1/2 be the half life

• t be the time of reaction

• Ao be initial concentration

• A be final concentration after reaction

• We have , time taken for completion of first order reaction

• t = 1/K * 2.303 * log(Ao/A)

• But again , K = 0.693/ t1/2

• So ,

t =2.303/.693 t1/2 log (Ao/A)

• According to the question,

• 32 min = 3.3 t1/2 log {1/(1/4)}

=> t1/2 = 32/ (3.3 * log4 )

= 32/ 1.98

=16.1