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Chapter 7: Problem 3

The rate constant of a reaction is equal to its rate constant at constant temperature when the concentration of the reactants is (a) unity (b) zero (c) two (d) three

Short Answer

Expert verified
The rate constant of a reaction remains equal to its rate constant at constant temperature, regardless of the concentration of reactants. Therefore, it's the same when the concentrations are (a) unity (b) zero (c) two (d) three.

Step by step solution

01

Comprehension of Rate Constant

First, it's fundamental to understand what a rate constant is. In a reaction, the rate constant (often denoted by k) is a proportionality constant connecting the rates of reaction to the concentrations of the reactants. In general, a larger k leads to a faster reaction. The value of the rate constant is independent of the concentration of reactants, but it is dependent on temperature.
02

Analyzing Case (a) - Unity Concentration

When the concentration of reactants is one (unity), it doesn't alter the value of the rate constant. Therefore, the rate constant of the reaction is equal to its rate constant at constant temperature.
03

Analyzing Case (b) - Zero Concentration

In the case when the concentration of reactants is zero, the rate of reaction itself becomes zero because there are no reactants to react. The rate constant remains unaffected and is not zero.
04

Analyzing Case (c) - Concentration of Two

Even when the concentration of reactants is two, it doesn't impact the rate constant. Hence, the rate constant remains the same as at constant temperature.
05

Analyzing Case (d) - Concentration of Three

Equally, when the concentration is three, the rate constant of the reaction stays equal to its rate constant at constant temperature. Again, this is because the rate constant is independent of the concentration of reactants.

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Most popular questions from this chapter

The specific rate constant of a first-order reaction depends on (a) concentration of the reactants (b) time (c) concentration of the products (d) temperature

The half-life period of a reaction is independent of the initial concentration of the reactants. The reaction is of (a) first order (b) zero order (c) second order (d) third order

The rate equation of a reaction is \(d x / d t=k[A]^{a}[B]^{b}\) for which the order of the reaction is (a) \(\mathrm{a}+b\) (b) \(a-b\) (c) a (d) \(b\)

The one which is a unimolecular reaction is (a) \(2 \mathrm{HI} \rightarrow \mathrm{H}_{2}+\mathrm{I}_{2}\) (b) \(\mathrm{N}_{2} \mathrm{O}_{5} \rightarrow \mathrm{N}_{2} \mathrm{O}_{5}+(1 / 2) \mathrm{O}_{2}\) (c) \(\mathrm{H}_{2}+\mathrm{Cl}_{2} \rightarrow 2 \mathrm{HCl}\) (d) \(\mathrm{PCl}_{3}+\mathrm{Cl}_{2} \rightarrow \mathrm{PCl}_{5}\)

The rate of a reaction usually (a) increases with increase in temperature (b) decreases with increase in temperature (c) remains unaffected with increase in temperature (d) none of these
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