Question:

Ammonia and oxygen react at high temperature as in reaction, 
4HN3(g) + 5O2(g) → 4NO(g) + 6H2O(g) 
If rate of formation of NO is 3.6 x 10–3 mol L–1 .sec–1 . Calculate the rate of formation of water.

Updated On: Jul 18, 2024
  • 6.0 x 10–3 mol L–1 sec–1

  • 3.6 x 10–3 mol L–1 sec–1

  • 1.8 x 10–3 mol L–1 sec–1

  • 5.4 x 10–3 mol L–1 sec–1

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The Correct Option is D

Solution and Explanation

From the balanced equation, we can see that the stoichiometric ratio between NO and H2O is 4:6 or 2:3. This means that for every 4 moles of NO formed, 6 moles of H2O will be formed. 
Given that the rate of formation of NO is 3.6x10-3 mol L-1 sec-1
We can calculate the rate of formation of water as follows: 
Rate of formation of H2O = (3.6x10-3 mol L-1 sec-1) x \(\frac {6}{4}\) = 5.4 x 10-3 mol L-1 sec-1
Therefore, the rate of formation of water is 5.4 x 10-3 mol L-1 sec-1, which corresponds to option (D).

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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