Question

In: Chemistry

The reaction SO2Cl21g2 ¡ SO21g2 Cl21g2 is first order in SO2Cl2. Using the following kinetic data,...

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=

Solutions

Expert Solution

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 =

=

  


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