In: Chemistry
The reaction SO2Cl21g2 ¡ SO21g2 Cl21g2 is first
order
in SO2Cl2. Using the following kinetic data, determine the
magnitude and units of the first-order rate constant:
Time Pressure
0 1.000
2500 0.947
5000 0.895
7500 0.848
10000 0.803
k=
The reaction is , it's a first order reaction.
Time(s) | Pressure(atm) |
0 | 1.000 |
2500 | 0.947 |
5000 | 0.895 |
7500 | 0.848 |
10000 | 0.803 |
Rate law can be described as,
, K = rate constant
For first order reaction, Integrated rate law can be expressed as,
Where 't' is the time, [R0] is initial concentration or pressure of the reaction, [R] is the concentration(or pressur) at time 't' .
Here initial pressure [R0] = 1.000 atm , from the table above we can calculate rate constant.
1. At time 2500s initial pressure = 0.947atm , K=
2. At time 5000 s , initial pressure =0.895atm, K=
3. At time 7500 s, initial pressure =0.848atm , K=
4. At time 10000s, initial pressure = 0.803atm, K=
Average value of Rate constant =
=