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Rate Law, Order and Molecularity

Rate law expresses reaction rate in terms of molar concentrations of reactants raised to experimentally determined powers. Order is the sum of these powers. Molecularity is the number of reacting species taking part in a single elementary step.

In one line: Order comes from data; molecularity comes from a single step.

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Understand it

  • For rate = k[A]a[B]b, the exponents a and b are determined from experimental rate data and need not match the balanced chemical equation.
  • The overall order is a + b.
  • Molecularity applies only to an elementary step and is always a whole number.
  • A complex reaction may have a rate law controlled by its slowest step.

Example

If rate = k[NO]2[O2], order with respect to NO is 2, order with respect to O2 is 1, and overall order is 3. This does not automatically mean that three molecules collide in one step unless the step is elementary.

Rule to remember

Rate law: rate = k[A]a[B]b.

Overall order = a + b.

Unit of k depends on order: for nth order, unit of k = (mol L−1)1−n s−1.

Molecularity can be unimolecular, bimolecular, or termolecular for elementary steps.

See it worked out

Follow the example line by line, then use the same method on new questions.

Worked example

In an experiment, when [A] is doubled at constant [B], rate becomes four times; order in A = 2.

  1. 1When [B] is doubled at constant [A], rate doubles; order in B = 1.
  2. 2Rate law = k[A]2[B], overall order = 3.

Method you can reuse

  1. 1Compare two experiments where only one reactant concentration changes.
  2. 2Write rate ratio = concentration ratio raised to power x.
  3. 3Solve for x.
  4. 4Repeat for each reactant, then add powers for overall order and derive the unit of k from rate = k concentration powers.

Visual tip

A data table comparing concentration change and rate change is more useful than a structural diagram for this concept.

Check yourself

Answer the question in your head before opening the answer.

Try it yourself

For rate = k[A]1[B]0, what is the overall order and what happens to rate if [B] is doubled?

Think first, then show answer
Overall order = 1 + 0 = 1. Doubling [B] has no effect on rate because the reaction is zero order with respect to B.

Common wrong answer

Calling molecularity zero or fractional; molecularity is never zero or fractional because it counts species in an elementary step.

Don't mix this up

Students often take powers directly from the balanced equation for every reaction, but rate law powers are experimental for overall reactions.

Exam tip

Use experimental data to find order. Use the mechanism or elementary-step statement only when asked about molecularity.

Write it in the exam

Each point is worth about one mark. Write point 1 for a 1-mark question and keep adding points as the marks go up.

How CBSE asks it

CBSE questions commonly give initial rate data and ask for order, rate law, or unit of k. Assertion-reason questions often contrast order and molecularity.
  1. 1

    Enough for 1 mark

    Rate law expresses reaction rate in terms of molar concentrations of reactants raised to experimentally determined powers. Order is the sum of these powers. Molecularity is the number of reacting species taking part in a single elementary step.

  2. 2

    Add for 2 marks

    Example: If rate = k[NO]2[O2], order with respect to NO is 2, order with respect to O2 is 1, and overall order is 3. This does not automatically mean that three molecules collide in one step unless the step is elementary.

  3. 3

    Add for 3 marks

    For rate = k[A]a[B]b, the exponents a and b are determined from experimental rate data and need not match the balanced chemical equation.

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