2A → B + C

The above reaction is run and found to follow second order kinetics with a rate constant of 1.30 x 10-3 M-1sec-1. If the initial concentration of A is 1.68 M, what is the concentration after 195 seconds

Respuesta :

Answer : The concentration after 195 seconds is, 1.18 M

Explanation :

The expression used for second order kinetics is:

[tex]kt=\frac{1}{[A_t]}-\frac{1}{[A_o]}[/tex]

where,

k = rate constant = [tex]1.30\times 10^{-3}M^{-1}s^{-1}[/tex]

t = time = 195 s

[tex][A_t][/tex] = final concentration = ?

[tex][A_o][/tex] = initial concentration = 1.68 M

Now put all the given values in the above expression, we get:

[tex]1.30\times 10^{-3}\times 195=\frac{1}{[A_t]}-\frac{1}{1.68}[/tex]

[tex][A_t]=1.18M[/tex]

Therefore, the concentration after 195 seconds is, 1.18 M