Chemical Kinetics and Nuclear ChemistryHard
Question
For the first order reaction :
Options
A.the degree of dissociation is equal to (1 - e-kt)
B.a plot of reciprocal concentration of the reactant vs time gives a straight line
C.the time taken for the completions pf 75% reaction is thrice the 1/2 of the reaction
D.the pre-exponential factor in the Arrhenius equation has the dimension of time, T-1
Solution
For the first order reaction if degree of dissociation is α, then
K =
log 
or k.t = 1oge = - loge (1 - α)
or e-kt = 1 - α
a = 1 - e-kt
According to Arrhenius equation
k = A.e-Ea/RT
Thup, dimension of A in the above expression is the same as that of rate constant, and for girst order reaction unit of k is time-1 (or T-1)
K =
log or k.t = 1oge
= - loge (1 - α)or e-kt = 1 - α
a = 1 - e-kt
According to Arrhenius equation
k = A.e-Ea/RT
Thup, dimension of A in the above expression is the same as that of rate constant, and for girst order reaction unit of k is time-1 (or T-1)
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