The rate law for the decomposition of phosphine (PH 3 ) is Rate =-(Δ[PH3])/(Δt)=k[PH3] It takes

step 1 We're given the weights of the composition of phosphine, P .S3, we equals to k times the phosphi

The rate law for the decomposition of phosphine (PH 3 ) is...

The rate law for the decomposition of phosphine (PH_ $_{3} )$ is $$ \text {Rate} =-\frac{\Delta\left[\mathrm{PH}_{3}\right]}{\Delta t}=k\left[\mathrm{PH}_{3}\right] $$ It takes $120 .$ s for 1.00$M \mathrm{PH}_{3}$ to decrease to 0.250 M. How much time is required for 2.00$M \mathrm{PH}_{3}$ to decrease to a concentration of 0.350 $\mathrm{M}$ ?

The rate law for the decomposition of phosphine (PH_ $_{3} )$ is
$$
\text {Rate} =-\frac{\Delta\left[\mathrm{PH}_{3}\right]}{\Delta t}=k\left[\mathrm{PH}_{3}\right]
$$
It takes $120 .$ s for 1.00$M \mathrm{PH}_{3}$ to decrease to 0.250 M. How much time is required for 2.00$M \mathrm{PH}_{3}$ to decrease to a concentration of 0.350 $\mathrm{M}$ ?

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Key Concepts

Rate Law

The rate law expresses the relationship between the reaction rate and the concentration of reactants. It specifies how the rate of a chemical reaction depends on the concentration of one or more reactants, typically using a rate constant as a proportionality factor.

First-Order Reaction

A first-order reaction is one in which the rate is directly proportional to the concentration of a single reactant. This means that the reaction rate changes linearly with the reactant concentration, and the system's kinetics can often be described by a simple exponential decay.

Integrated Rate Law

The integrated rate law for a first-order reaction relates the concentration of the reactant to time using a logarithmic function. It is given by ln([A]_0/[A]) = kt, where [A]_0 is the initial concentration, [A] is the concentration at time t, and k is the rate constant. This equation is crucial for determining the reaction's progress or the time needed to reach a certain concentration.

Rate Constant

The rate constant is a proportionality factor in the rate law that quantifies the speed of the reaction. In a first-order reaction, the rate constant has units of s?¹, and it is determined experimentally from the kinetics data. It provides insight into how quickly a reaction proceeds under given conditions.

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