if one percent of the reactant decomposes in first minute in a first order reaction calculate how much reactant would - Chemistry - Solid State

Question

if one percent of the reactant decomposes in first minute in a
first order reaction calculate how much reactant would remain
undecomposed after one hour

Sakshi Ganotra · Accepted Answer

Dear student We can use the equation for the first order kinetics as:

{displaystyle A=A_{0}e^{-kt}}

Lets say the initial concentration is A0 Now the percentage decomposition in first minute is 1% i e, now the concentration of A that is left is A0 - (A0/100) = 0 99Ao so the equation becomes, 0 99 Ao = Ao e-k1min So 0 99 = e-k1min ln 0 99 = -k *1 min so k = - ln 0 99 So â€‹In 1 hour or 60 minutes thus the new concentration of the reactant will be,

{displaystyle A=A_{0}e^{-kt}}

A = Ao(e-(-ln 0 99)*60 min) So A = 0 5471 Ao so after the given time, 54 71% of the initial reactant will be remaining Regards

if one percent of the reactant decomposes in first minute in a first order reaction calculate how much reactant would remain undecomposed after one hour