Practicing Success

Target Exam

CUET

Subject

Chemistry

Chapter

Physical: Chemical Kinetics

Question:

For a chemical reaction:

A + B → Products

Experiment \(\frac{[A]}{mol L^{-1}}\) \(\frac{[B]}{mol L^{-1}}\) \(\frac{\text{Initial rate}}{mol L^{-1} s^{-1}}\)
1. 0.1 0.1 2.0 x 10-3
2. 0.2 0.2 4.0 x 10-3
3. 0.1 0.2 2.0x 10-3

What is the overall order of chemical reaction?

Options:

3

1

2

0

Correct Answer:

1

Explanation:

A + B → Products

Rate of reaction = k [A]x [B]y

2.0 x 10-3 = k [0.1]x [0.1]y   .....(i)

4.0 x 10-3 = k [0.2]x [0.2]y   ......(ii)

2.0 x 10-3 = k [0.1]x [0.2]y    ......(iii)

Divide (iii) By (i), we get

\(\frac{2.0 × 10^{-3}}{2.0 × 10^{-3}}\) = \(\frac{k[0.1]^x[0.2]^y}{k[0.1]^x[0.1]^y}\)

1 = 2y

20 = 2y

y = 1

Divide (ii) by (iii), we get

\(\frac{4.0 × 10^{-3}}{2.0 × 10^{-3}}\) = \(\frac{k[0.2]^x[0.2]^y}{k[0.1]^x[0.2]^y}\)

2 = 2x

21 = 2x

 x = 1

Overall order = x + y = 1 + 0 = 1