The rate law for the reaction Cl2(g)+CHCl3(g) ⟶HCl(g)+CCl4(g) is Rate =k[Cl2]^1 / 2[CHCl3] What

step 1 Okay, define the units for the rate constant K. We need to take a look at the units involved in

The rate law for the reaction Cl2(g)+CHCl3(g)...

The rate law for the reaction $$\mathrm{Cl}_{2}(g)+\mathrm{CHCl}_{3}(g) \longrightarrow \mathrm{HCl}(g)+\mathrm{CCl}_{4}(g)$$ is $$\text { Rate }=k\left[\mathrm{Cl}_{2}\right]^{1 / 2}\left[\mathrm{CHCl}_{3}\right]$$ What are the units for $k$, assuming time in seconds and concentration in mol/L?

The rate law for the reaction
$$\mathrm{Cl}_{2}(g)+\mathrm{CHCl}_{3}(g) \longrightarrow \mathrm{HCl}(g)+\mathrm{CCl}_{4}(g)$$
is
$$\text { Rate }=k\left[\mathrm{Cl}_{2}\right]^{1 / 2}\left[\mathrm{CHCl}_{3}\right]$$
What are the units for $k$, assuming time in seconds and concentration in mol/L?

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Key Concepts

Rate Law

A rate law expresses the relationship between the speed of a reaction and the concentrations of its reactants, typically in the form Rate = k[A]^a[B]^b, where k is the rate constant and a and b are the orders with respect to each reactant.

Reaction Order

The overall reaction order is determined by summing the exponents of the concentration terms in the rate law. This overall order influences how the rate changes with concentration and affects the units of the rate constant.

Dimensional Analysis

Dimensional analysis is a method used to determine the correct units for physical quantities by ensuring consistency of units on both sides of an equation. In chemical kinetics, it is applied to relate the units of the rate constant to the units of the rate and the concentrations.

Units of the Rate Constant

The units of the rate constant depend on the overall reaction order. For a reaction of overall order n, the rate constant typically has units of M^(1?n) s^(?1). In cases where the reaction order is fractional, as determined by the exponents in the rate law, the corresponding units must be derived to maintain dimensional consistency.

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