KCET2012ChemistryChemical Kinetics
For a reaction, A + B products, the rate of the reaction at various concentrations are given below The rate law for the above reaction is
Options
- Ar=k[A][B]²
- Br=k[A]³[B]
- Cr = k [ A ]²[ ~B ]²
- Dr=k[A]²[B]
Correct answer
D. r=k[A]²[B]
Step-by-step solution
Let order of reaction wrt A and B is m and n respectively. Then aligned rate &= k [ A ]^ m [ B ]^ n 2 &= k [0.2]^ m [0.2]^ n aligned 4=k[0.2]^ m [0.4]^ n 36= k [0.6]^ m [0.4]^ n On comparing Eqs. (i) and (ii), we get aligned & 4 2 &= [0.4]^ n [0.2]^ n & 2 &=2^ n & n &=1 aligned Again on comparing Eqs. (ii) and (iii), we get aligned & & 36 4 &= [0.6]^ m [0.2]^ m & & 9=3²=3^ m & & m =2 aligned Rate law for the given reaction will be r = k [ A ]²[ ~B ]