The reaction A→B has been experimentally determined to be second order. The initial rate is 0.0100M/s at an initial concentration of A of 0.300M. Determine the initial rate at [A]=0.900M.

Respuesta :

Let us assume that the reaction is elementary such that the rate law for this is,
                                  R = -k[A]
Substituting the first set of given to determine the value of k,
                                   0.0100 M/s = -k(0.300M)
The value of k is -1/30s. Substituting the second set,
                                    R = (-1/30s)(0.900M) = 0.03 M/s
Thus, the initial rate is equal to 0.03 M/s. 

Answer:

0.09 M/s is the initial rate when concentration of reactant A is 0.900 M.

Explanation:

A → B

1) Initial concentration of A = [A] =0.300 M

Rate constant of the reaction , k = ?

Rate equation for the second order kinetic is given as:

[tex]R=k[A]^2[/tex]

[tex]0.0100M/s=k[0.300 M]^2[/tex]

[tex]k=\frac{0.0100M/s}{[0.300 M]^2}=0.1111 M^{-1} s^{-1}[/tex]

2) Rate of the reaction when initial concentration of A was 0.900M be R'.

[A] = 0.900M

[tex]R'=k[A]^2[/tex]

[tex]R'=0.1111 M^{-1} s^{-1}\times [0.900 M]^2[/tex]

[tex]R'=0.09 M/s[/tex]