Answer:
(a) The rate of disappearance of
is:
M/s
(b) The value of rate constant is: 0.83036 ![M^{-2}s^{-1}](https://tex.z-dn.net/?f=M%5E%7B-2%7Ds%5E%7B-1%7D)
(c) The units of rate constant is: ![M^{-2}s^{-1}](https://tex.z-dn.net/?f=M%5E%7B-2%7Ds%5E%7B-1%7D)
(d) The rate will increase by a factor of 3.24
Explanation:
The rate of a reaction can be expressed in terms of the concentrations of the reactants and products in accordance with the balanced equation.
For the given reaction:
![2NO(g)+O_{2}->2NO_{2}](https://tex.z-dn.net/?f=2NO%28g%29%2BO_%7B2%7D-%3E2NO_%7B2%7D)
rate =
=
=
-----(1)
According to the question, the reaction is second order in NO and first order in
.
Then we can say that, rate = k
-----(2)
where k is the rate constant.
The rate of disappearance of NO is given:
=
M/s.
(a) From (1), we can get the rate of disappearance of
.
Rate of disappearance of
=
= (0.5)*(
) M/s =
M/s.
(b) The rate of the reaction can be obtained from (1).
rate =
= (0.5)*(
)
rate =
M/s
The value of rate constant can be obtained by using (2).
rate constant = k =
k =
= 0.83036 ![M^{-2}s^{-1}](https://tex.z-dn.net/?f=M%5E%7B-2%7Ds%5E%7B-1%7D)
(c) The units of the rate constant can be obtained from (2).
k =
Substituting the units of rate as M/s and concentrations as M, we get:
= ![M^{-2}s^{-1}](https://tex.z-dn.net/?f=M%5E%7B-2%7Ds%5E%7B-1%7D)
(d) The reaction is second order in NO. Rate is proportional to square of the concentration of NO.
![rate\alpha [NO]^{2}](https://tex.z-dn.net/?f=rate%5Calpha%20%5BNO%5D%5E%7B2%7D)
If the concentration of NO increases by a factor of 1.8, the rate will increase by a factor of
= 3.24