Question:

For the reaction, $N _{2}( g )+3 H _{2}( g ) \rightleftharpoons 2 NH _{3}( g )$, the unit of $K$ is :

Updated On: Jan 30, 2025
  • $L\,mol ^{-1}$
  • $L^{2} \,mol^{-2}$
  • $mol\,L ^{-1}$
  • No units
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The Correct Option is B

Solution and Explanation

$N _{2}( g )+3 H _{2}( g ) \rightleftharpoons 2 NH _{3}( g )$
$K =\frac{\left[ NH _{3}\right]^{2}}{\left[ N _{2}\right]\left[ H _{2}\right]^{3}}=\frac{\left[\frac{ mol }{ L }\right]^{2}}{\left[\frac{ mol }{ L }\right]\left[\frac{ mol }{ L }\right]^{3}}$
$K =\left[\frac{ mol }{ L }\right]^{-2}= L ^{2} \,mol ^{-2}$
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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