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Q. A+B Product 
For the above reaction following initial rates were given at various initial concentration
Initial conc. of AML1 Initial conc. of B in ML1 Rate in ML1S1
0.1 0.1 0.05
0.2 0.1 0.1
0.1 0.2 0.05

Determine the rate constant.

Chemical Kinetics

Solution:

R=K[A]n[B]m
0.05=K(0.1)n(0.1)m ...(i)
0.1=K(0.2)n(0.1)m ...(ii)
0.05=K(0.1)n(0.2)m ...(ii)
From eq. (ii) ÷ (i)
2=2n
n=1
From eq. (iii) ÷ (i)
1=2m
m=0
Rate law : R=K[A]
and K=R[A]=0.050.1=0.5s1
K=0.5s1