What Is The Mole Ratio Of Nh3 To N2

When it comes to chemical reactions, understanding the concept of mole ratio is crucial to determining the stoichiometry of a reaction. In particular, when considering the reaction between ammonia (NH3) and nitrogen gas (N2), the mole ratio between these two compounds plays a significant role in determining the quantities of reactants and products involved in the reaction.

Definition of Mole Ratio

The mole ratio in a chemical reaction is the ratio of moles of one substance to moles of another substance in a balanced chemical equation. It represents the proportion in which the substances react and is a fundamental concept in stoichiometry.

  • The mole ratio is determined by the coefficients of the balanced chemical equation.
  • It indicates the relative amounts of reactants and products involved in a chemical reaction.
  • The mole ratio is used to calculate the quantities of reactants consumed and products formed in a reaction.

Balance Chemical Equation for NH3 and N2

Before determining the mole ratio of NH3 to N2, it is essential to write and balance the chemical equation for the reaction between ammonia and nitrogen gas. The balanced equation for the reaction is as follows:

4NH3 (g) + 5O2 (g) → 4NO (g) + 6H2O (g)

  • In this reaction, ammonia (NH3) reacts with oxygen gas (O2) to produce nitric oxide (NO) and water (H2O).
  • The coefficients in the balanced equation (4, 5, 4, and 6) represent the stoichiometric coefficients and determine the mole ratios between the reactants and products.

Mole Ratio of NH3 to N2 in the Reaction

To determine the mole ratio of NH3 to N2 in the reaction, it is important to first understand the role of each substance in the stoichiometry of the reaction. In this case, nitrogen gas (N2) is not directly involved in the reaction with ammonia (NH3) to form nitric oxide and water.

The mole ratio between NH3 and N2 can be found by examining their coefficients in a different chemical equation where nitrogen gas is used as a reactant. Consider the equation:

N2 (g) + 3H2 (g) → 2NH3 (g)

  • In this reaction, nitrogen gas (N2) reacts with hydrogen gas (H2) to form ammonia (NH3).
  • The coefficients in this equation are 1, 3, and 2, representing the stoichiometric coefficients for N2, H2, and NH3 respectively.

The mole ratio of NH3 to N2 in this reaction is 2:1, indicating that for every 2 moles of ammonia produced, 1 mole of nitrogen gas is consumed.

Calculating Mole Ratio from Coefficients

The mole ratio of NH3 to N2 can also be calculated directly from the coefficients of the balanced chemical equations involving these substances. By comparing the coefficients of NH3 and N2 in the equations, the mole ratio can be determined.

Using the balanced equations for the reactions involving NH3 and N2:

4NH3 (g) + 5O2 (g) → 4NO (g) + 6H2O (g)

N2 (g) + 3H2 (g) → 2NH3 (g)

  • The coefficient of NH3 in the first equation is 4, while the coefficient of NH3 in the second equation is 2.
  • The coefficient of N2 in the first equation is 0, as N2 is not a reactant, and in the second equation, the coefficient of N2 is 1.

By comparing the coefficients of NH3 and N2 in the equations, we find that the mole ratio of NH3 to N2 is 2:1, consistent with the previous calculation.

Importance of Mole Ratio in Reactions

The mole ratio between reactants and products in a chemical reaction is essential for various reasons:

  • Stoichiometry: The mole ratio determines the proportions in which reactants combine and products are formed.
  • Limits Reactants: It helps determine which reactant is limiting and in excess in a reaction.
  • Calculations: Mole ratios are used to calculate the quantities of reactants consumed and products formed.
  • Yield: Theoretical and actual yields of products are determined based on the mole ratio.

Example Calculation

Consider the reaction of 3 moles of NH3 with an excess of N2. Using the mole ratio of NH3 to N2 as 2:1, we can calculate the amount of N2 needed to completely react with the NH3:

3 moles NH3 x (1 mole N2 / 2 moles NH3) = 1.5 moles N2

This calculation shows that 1.5 moles of N2 are required to react completely with 3 moles of NH3, based on the mole ratio.

Conclusion

In conclusion, the mole ratio of NH3 to N2 in a chemical reaction involving these substances can be determined from the balanced chemical equation and the coefficients of the reactants and products. Understanding the mole ratio is crucial for accurate stoichiometric calculations and determining the quantities of substances involved in a reaction. By analyzing the mole ratio of NH3 to N2, chemists can predict the amounts of reactants consumed and products formed in the reaction.

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