The rate law for the given reaction is calculated by the expression,
Rate=k[Hb]m[CO]n
Where,
[Hb] and [CO] are the concentrations of Hb and CO . k is the rate constant.The values of m and n are calculated by the comparison of the different rate values from the given table.
The value of m is calculated using the first and second result. Substitute the values of the concentration of [Hb] and [CO] for the first two experiments in the above expression.
Rate 1=k[2.21]m[1.00]n
Rate 2=k[4.42]m[1.00]n
According to the given rate values in the table,
Rate 2Rate 1=1.24 μmol/L⋅s0.619 μmol/L⋅s
Therefore,
k[4.42]m[1.00]nk[2.21]m[1.00]n=1.24 μmol/L⋅s0.619 μmol/L⋅s(2)m=2m=1_
The value of n is calculated using the second and third result. Substitute the values of the concentration of [Hb] and [CO] for the second and third experiments in the above expression.
Rate 2=k[4.42]m[1.00]n
Rate 3=k[4.42]m[3.00]n
According to the given rate values in the table,
Rate 3Rate 2=3.71 μmol/L⋅s1.24 μmol/L⋅s
Therefore,
k[4.42]m[3.00]nk[4.42]m[1.00]n=3.71 μmol/L⋅s1.24 μmol/L⋅s(3)n=3n=1_
Substitute the values of m and n in the rate law expression.
Rate=k[Hb]1[CO]1