The rate law for a reaction between the substances A and is given by Rate =[A]^n[B]^m : On doubl

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The rate law for a reaction between the substances A and is...

The rate law for a reaction between the substances $\mathrm{A}$ and is given by Rate $=[\mathrm{A}]^{\mathrm{n}}[\mathrm{B}]^{\mathrm{m}}$ : On doubling the concentration of $\mathrm{A}$ and halving theconcentration of $\mathrm{B}$, the ratio of the new rate to the earlier rate of the reaction will be as (a) $1 / 2^{(\mathrm{m}+\mathrm{m})}$ (b) $(\mathrm{m}+\mathrm{n})$ (c) $(\mathrm{n}-\mathrm{m})$ (d) $2^{(n-m)}$

The rate law for a reaction between the substances $\mathrm{A}$ and is given by Rate $=[\mathrm{A}]^{\mathrm{n}}[\mathrm{B}]^{\mathrm{m}}$ :
On doubling the concentration of $\mathrm{A}$ and halving theconcentration of $\mathrm{B}$, the ratio of the new rate to the earlier rate of the reaction will be as
(a) $1 / 2^{(\mathrm{m}+\mathrm{m})}$
(b) $(\mathrm{m}+\mathrm{n})$
(c) $(\mathrm{n}-\mathrm{m})$
(d) $2^{(n-m)}$

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Key Concepts

Effect of Concentration Changes on Reaction Rate

Altering the concentrations of reactants leads to predictable changes in the reaction rate based on the exponents in the rate law. For example, doubling a reactant raised to the power n affects the rate by a factor of 2^n, while halving a reactant raised to the power m affects the rate by a factor of (1/2)^m. The overall effect is obtained by multiplying these individual changes, demonstrating how individual concentration modifications combine according to the law of exponents.

Reaction Order

The reaction orders, designated by the exponents in the rate law, indicate the power to which the concentration of each reactant is raised. These exponents help determine how changes in reactant concentration affect the overall reaction rate, and the sum of these exponents gives the overall order of the reaction.

Rate Law

The rate law is an equation that shows how the reaction rate depends on the concentrations of the reactants. It typically takes the form Rate = k[A]^n[B]^m, where k is the rate constant and the exponents n and m indicate how sensitively the rate responds to the concentrations of A and B, respectively.

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