Question:

For the reaction $2N_2O_5 \to 4NO_2 + O_2$, rate and rate constant are $1.02 \times 10^{-4}$ mol $lir^{-1}$ $sec^{-1}$ and $3.4 \times 10^{-5}$ $sec^{-1}$ respectively then concentration of $N_2O_5$ at that time will be

Updated On: Mar 30, 2024
  • 1.732 M
  • 3 M
  • $3.4\times 10^{-5}M$
  • $1.02 \times 10^{-4}M$
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The Correct Option is B

Solution and Explanation

$2N_2O_5 \to 4NO_2 + O_2$
from the imit of rate constant it is clear that the reaction follow first order kinetics.
Hence
by rate law equation, $r = k [N_2O_5]$
wherer $= 1.02 \times 10^{-4}, k= 3.4 \times 10^{-5}$
$1.02 \times 10^{-4} = 3.4 \times \left[N_{2}O_{5}\right]$
$\left[N_{2}O_{5}\right] = 3M$
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Concepts Used:

Rate of a Chemical Reaction

The rate of a chemical reaction is defined as the change in concentration of any one of the reactants or products per unit time.

Consider the reaction A → B,

Rate of the reaction is given by,

Rate = −d[A]/ dt=+d[B]/ dt

Where, [A] → concentration of reactant A

[B] → concentration of product B

(-) A negative sign indicates a decrease in the concentration of A with time.

(+) A positive sign indicates an increase in the concentration of B with time.

Factors Determining the Rate of a Reaction:

There are certain factors that determine the rate of a reaction:

  1. Temperature
  2. Catalyst
  3. Reactant Concentration
  4. Chemical nature of Reactant
  5. Reactant Subdivision rate