The conversion of C5H11Br into C5H10 follows first-order kinetics, with a rate constant of 0.385 h-1. If the initial concentration of C5H11Br is 0.125 M, find:
(a) the time(hours) at which the concentration will be 3.13 × 10-3 M.
(b) the concentration(M) after 3.2 h of reaction.
first order rate constant and concentration related equation is
k = 2.303 / t log[A0/A]
where k = rat econstant given as 0.385h-1
A0 = intial concentration = 0.125 M
A concentration after certain time t
t = time
part A
we havwe to calculate t
A is given as 3.13 × 10-3 M
take the remaining values above and fulg in
0.385 h-1 = 2.303 / t log[0.125 / 3.13 × 10-3 M]
0.385 h-1 = 2.303 / t (1.60)
t = 3.688 / 0.385 h-1
t = 9.6 h
Part B
we have to calulate A
t is given as 3.2 h
0.385 h-1 = 2.303 / 3.2 log[0.125 / A]
log[0.125 / A] = 0.385 h-1 x 3.2 h / 2.303
log[0.125 / A] = 0.535
0.125 / A = 100.535 = 3.43
A = 0.125 / 3.43
A = 0.0364 M
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