Expressing Rate Using Reactants and Products (Stoichiometry)

Chemistry · Chemical Kinetics · NEET

For any reaction, the rate is the same single number no matter which species you follow. You get it by taking each species' change divided by its stoichiometric coefficient, and putting a minus sign for reactants (because they get used up). For aA + bB to cC, Rate = -(1/a)d[A]/dt = -(1/b)d[B]/dt = +(1/c)d[C]/dt. Memory hook: "Divide by the number in front, minus if it is a reactant."
Reaction: a A + b B → c COne reaction, one rate — divide each by its coefficientReactant A− (1/a) d[A]/dtused up → minus signReactant B− (1/b) d[B]/dtused up → minus signProduct C+ (1/c) d[C]/dtmade → plus signAll three equal the SAME value = Rate of reaction
For aA + bB → cC, every species term divided by its stoichiometric coefficient (minus for reactants, plus for products) equals one single value: the rate of reaction.

Your doubts, answered

Why do we divide the rate of each species by its stoichiometric coefficient?

Because different species are used up or made at different speeds. In N2 + 3H2 to 2NH3, three H2 molecules disappear for every one N2. So d[H2]/dt is 3 times faster than d[N2]/dt. If we did not divide by the coefficient, we would get three different 'rates' for one reaction. Dividing each term by its coefficient forces them to all equal ONE common number, called the rate of reaction. That is why NEET answers always show 1/3, 1/2 etc. in front.

Why is there a minus sign for reactants but a plus sign for products?

Reactants are being used up, so their concentration falls with time. That makes d[reactant]/dt a negative value. Rate is a speed, so it must be positive. We add a minus sign to flip the negative into a positive. Products are being made, so their concentration rises and d[product]/dt is already positive, so it keeps a plus sign. Rule: minus for reactants, plus for products.

What is the difference between rate of reaction and rate of disappearance?

Rate of disappearance of a reactant is just how fast that one species vanishes, like -d[A]/dt. Rate of reaction is the single value that describes the whole reaction. They are equal ONLY when the coefficient is 1. When the coefficient is bigger, rate of reaction = (1/coefficient) x rate of disappearance. So they are not always the same number. NEET often traps students here.

For N2 + 3H2 -> 2NH3, how do I write the rate expression correctly?

Divide each species by its coefficient and add the sign. Rate = -d[N2]/dt = -(1/3)d[H2]/dt = +(1/2)d[NH3]/dt. From this you can pull any pair. For example -(1/3)d[H2]/dt = (1/2)d[NH3]/dt. This exact reaction came in NEET 2019, so learn to write the full chain first, then compare the two terms the question asks about.

How do I relate rate of formation of a product to rate of disappearance of a reactant?

Set the two rate-of-reaction terms equal, then rearrange. For 3A to 2B: -(1/3)d[A]/dt = +(1/2)d[B]/dt. To get d[B]/dt alone, multiply both sides by 2: d[B]/dt = -(2/3)d[A]/dt. The ratio of the two rates equals the ratio of their coefficients (product coeff over reactant coeff). This is the NEET 2023 answer.

⚠️ The NEET trap
For 3A -> 2B, students write rate of appearance of B = -(3/2) d[A]/dt because they flip the fraction the wrong way.
d[B]/dt = -(2/3) d[A]/dt. The coefficient of B (2) goes on top and the coefficient of A (3) goes on the bottom, because you multiply -(1/3)d[A]/dt by 2.
🧠 The species you are SOLVING FOR puts its coefficient on TOP. B has coefficient 2, so 2 is on top: 2/3, not 3/2.

Real NEET questions

NEET 2019

For the chemical reaction N2(g) + 3H2(g) ⇌ 2NH3(g), the correct option is:

A · -(1/3) d[H2]/dt = (1/2) d[NH3]/dt
B · -d[N2]/dt = 2 d[NH3]/dt
C · -d[N2]/dt = (1/2) d[NH3]/dt
D · -(3/2) d[H2]/dt = d[NH3]/dt
Solution: Write the full rate chain by dividing each species by its coefficient (minus for reactants N2 and H2, plus for product NH3): Rate = -d[N2]/dt = -(1/3)d[H2]/dt = +(1/2)d[NH3]/dt. Now compare only the H2 and NH3 terms: -(1/3)d[H2]/dt = (1/2)d[NH3]/dt, which is option A. Option B is wrong because -d[N2]/dt actually equals (1/2)d[NH3]/dt, not 2 times it. Options C and D use wrong factors.
NEET 2023 Phase 2

For a reaction 3A -> 2B, the average rate of appearance of B is Δ[B]/Δt. The correct relation between the rate of appearance of B and the rate of disappearance of A is:

A · -(2/3) Δ[A]/Δt
B · Δ[A]/Δt
C · -Δ[A]/Δt
D · -(3/2) Δ[A]/Δt
Solution: For 3A -> 2B the single rate of reaction is -(1/3)Δ[A]/Δt = +(1/2)Δ[B]/Δt. We want Δ[B]/Δt alone, so multiply both sides by 2: Δ[B]/Δt = 2 x (-(1/3)Δ[A]/Δt) = -(2/3)Δ[A]/Δt. The coefficient of B (2) sits on top and the coefficient of A (3) on the bottom, giving option A.

Solved Chemical Kinetics NEET PYQs

Try the real previous-year questions from this chapter — each with the answer and a full solution.

See all 28 Chemical Kinetics NEET PYQs ›
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Frequently asked

Does the rate of reaction depend on which species I choose to measure?

No. The whole point of dividing by the stoichiometric coefficient is that you get the SAME single number for every species. That common value is the rate of the reaction.

When are the rate of reaction and the rate of change of a species equal?

Only when that species has a stoichiometric coefficient of 1. For example in A -> B, rate = -d[A]/dt = +d[B]/dt. If the coefficient is 2 or 3, you must divide, so they are no longer equal.

What are the usual units of rate here?

Concentration divided by time, so mol L^-1 s^-1 (or mol L^-1 min^-1). The units are the same whichever species you track, because dividing by a pure-number coefficient does not change units.

Is this the same as the rate law?

No. This stoichiometry expression tells you how the rates of different species relate to each other. The rate law (Rate = k[A]^x[B]^y) tells you how rate depends on concentration, and its powers come from experiment, not from the coefficients.

How much is this concept tested in NEET?

It is a repeat favourite. The N2 + 3H2 reaction (2019) and the 3A -> 2B relation (2023) are both direct one-step questions. Getting the signs and the fraction right is an almost guaranteed mark.