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Question

For a Ist order decomposition of SO2Cl2(g), to SO2(g) and Cl2(g), an experiment is carried out and the following graph is plotted:

         SO2Cl2(g) SO2(g) + Cl2(g)


What is the rate constant (sec1)?
 
  1. 7.7×103
  2. 1.15×102
  3. 0.2
  4. 4.2×101


Solution

The correct option is A 7.7×103
       SO2Cl2(g) SO2(g) + Cl2(g)

t = 0      a
t = t     (a -x )                x                  x

k=2.303t× log (aax)

kt2.303=log alog (ax)
    
log (ax)= (k2.303)t + log a   

slope = k2.303=210

k=210×2.303 min1

k=210×2.30360 sec1

k=7.7× 103sec1

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