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Rate of Reaction

Rate of reaction is the change in concentration of a reactant or product per unit time. For a reactant it is written with a negative sign because its concentration decreases, while for a product it is written with a positive sign because its concentration increases.

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Student-friendly explanation

Reaction rate measures how quickly a chemical reaction proceeds. Average rate is calculated over a time interval, while instantaneous rate is the rate at a particular moment, usually obtained from the slope of a concentration-time curve. For a reaction aA + bB cC + dD, the rate must be divided by stoichiometric coefficients so that the same reaction rate is obtained from any species.

How to write this in exams

  1. 1

    Start with the exact idea

    Rate of reaction is the change in concentration of a reactant or product per unit time. For a reactant it is written with a negative sign because its concentration decreases, while for a product it is written with a positive sign because its concentration increases.

  2. 2

    Then show how to use it

    First balance the reaction. Next decide whether the species is a reactant or product. Use a negative sign for disappearance and a positive sign for formation. Finally divide by the stoichiometric coefficient and include mol L^-1 s^-1 unless another time unit is given.

  3. 3

    Add one concrete example

    For N2 + 3H2 2NH3, rate = -d[N2]/dt = -(1/3)d[H2]/dt = (1/2)d[NH3]/dt. If ammonia concentration increases by 0.020 mol L^-1 in 10 s, the rate of reaction based on NH3 is (1/2)(0.020/10) = 0.0010 mol L^-1 s^-1.

  4. 4

    Avoid this incomplete answer

    Writing 0.004 mol L^-1 s^-1 as the reaction rate for A 2B when it is only the rate of formation of B.

Definition

Rate of reaction is the change in concentration of a reactant or product per unit time. For a reactant it is written with a negative sign because its concentration decreases, while for a product it is written with a positive sign because its concentration increases.

Example

For N2 + 3H2 2NH3, rate = -d[N2]/dt = -(1/3)d[H2]/dt = (1/2)d[NH3]/dt. If ammonia concentration increases by 0.020 mol L^-1 in 10 s, the rate of reaction based on NH3 is (1/2)(0.020/10) = 0.0010 mol L^-1 s^-1.

Rule to remember

Average rate for reactant = -Delta[R]/Delta t; average rate for product = +Delta[P]/Delta t. For aA + bB cC + dD, rate = -(1/a)d[A]/dt = -(1/b)d[B]/dt = (1/c)d[C]/dt = (1/d)d[D]/dt. Usual unit: mol L^-1 s^-1.

Memory hook

Reactants reduce, products produce; coefficients correct the rate.

Examples and method

Worked example

For A 2B, [B] rises from 0.10 mol L^-1 to 0.22 mol L^-1 in 30 s. Rate of formation of B = 0.12/30 = 0.004 mol L^-1 s^-1. Reaction rate = (1/2)(0.004) = 0.002 mol L^-1 s^-1.

Method to apply

First balance the reaction. Next decide whether the species is a reactant or product. Use a negative sign for disappearance and a positive sign for formation. Finally divide by the stoichiometric coefficient and include mol L^-1 s^-1 unless another time unit is given.

Diagram support

A concentration-time graph is useful. Reactant concentration curves slope downward and product concentration curves slope upward. Instantaneous rate is read from the tangent slope at the required time.

How CBSE asks it

Questions ask students to calculate average rate from concentration data, compare rates of disappearance and formation, or identify the correct expression using a balanced chemical equation.

Avoid common mistakes

Common confusion

Students often forget to divide by stoichiometric coefficients, especially for species such as H2 or NH3 in balanced equations.

Common wrong answer

Writing 0.004 mol L^-1 s^-1 as the reaction rate for A 2B when it is only the rate of formation of B.

Exam tip

Always start by writing the balanced equation, then attach the correct sign and coefficient factor before substituting values.

Quick check

In 2A B, [A] decreases by 0.04 mol L^-1 in 20 s. What is the reaction rate?

Rate = -(1/2)Delta[A]/Delta t = (1/2)(0.04/20) = 0.001 mol L^-1 s^-1.

Answer writing and exam use

1-mark answer

Rate of reaction is the change in concentration of a reactant or product per unit time. For a reactant it is written with a negative sign because its concentration decreases, while for a product it is written with a positive sign because its concentration increases.

2-mark answer

Rate of reaction is the change in concentration of a reactant or product per unit time. For a reactant it is written with a negative sign because its concentration decreases, while for a product it is written with a positive sign because its concentration increases. Average rate for reactant = -Delta[R]/Delta t; average rate for product = +Delta[P]/Delta t. For aA + bB cC + dD, rate = -(1/a)d[A]/dt = -(1/b)d[B]/dt = (1/c)d[C]/dt = (1/d)d[D]/dt. Usual unit: mol L^-1 s^-1. For N2 + 3H2 2NH3, rate = -d[N2]/dt = -(1/3)d[H2]/dt = (1/2)d[NH3]/dt. If ammonia concentration increases by 0.020 mol L^-1 in 10 s, the rate of reaction based on NH3 is (1/2)(0.020/10) = 0.0010 mol L^-1 s^-1.

3-mark answer

Reaction rate measures how quickly a chemical reaction proceeds. Average rate is calculated over a time interval, while instantaneous rate is the rate at a particular moment, usually obtained from the slope of a concentration-time curve. For a reaction aA + bB cC + dD, the rate must be divided by stoichiometric coefficients so that the same reaction rate is obtained from any species. Average rate for reactant = -Delta[R]/Delta t; average rate for product = +Delta[P]/Delta t. For aA + bB cC + dD, rate = -(1/a)d[A]/dt = -(1/b)d[B]/dt = (1/c)d[C]/dt = (1/d)d[D]/dt. Usual unit: mol L^-1 s^-1. For A 2B, [B] rises from 0.10 mol L^-1 to 0.22 mol L^-1 in 30 s. Rate of formation of B = 0.12/30 = 0.004 mol L^-1 s^-1. Reaction rate = (1/2)(0.004) = 0.002 mol L^-1 s^-1. Questions ask students to calculate average rate from concentration data, compare rates of disappearance and formation, or identify the correct expression using a balanced chemical equation. Writing 0.004 mol L^-1 s^-1 as the reaction rate for A 2B when it is only the rate of formation of B.
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