How many grams of NH3 gas can be made if 42.0 g of N2 gas and 12.0 g of H2 gas react with each other?
N2 + 3 H2 ↔ 2 NH3
51.1 g
To find the number of grams of NH3 gas that can be made, we first need to determine the limiting reactant in the given reaction.
1. Calculate the number of moles for each reactant:
Moles of N2 = 42.0 g / molar mass of N2
Moles of H2 = 12.0 g / molar mass of H2
2. Use the stoichiometry of the balanced equation to determine the number of moles of NH3 that can be produced from each reactant:
Moles of NH3 from N2 = Moles of N2 * (2 moles of NH3 / 1 mole of N2)
Moles of NH3 from H2 = Moles of H2 * (2 moles of NH3 / 3 moles of H2)
3. The limiting reactant is the one that produces the smaller amount of moles of NH3.
4. Calculate the number of grams of NH3 produced from the limiting reactant:
Grams of NH3 = Moles of limiting reactant * molar mass of NH3
Follow these steps to calculate the grams of NH3 gas that can be made.
To determine how many grams of NH3 gas can be produced, we need to calculate the limiting reactant and then use stoichiometry to find the amount of NH3 produced.
1. Calculate the number of moles of N2 and H2:
- Moles of N2 = mass of N2 / molar mass of N2
= 42.0 g / 28.0 g/mol (molar mass of N2)
- Moles of H2 = mass of H2 / molar mass of H2
= 12.0 g / 2.0 g/mol (molar mass of H2)
2. Determine the limiting reactant:
The limiting reactant is the one that is completely consumed and determines the amount of product formed. To find the limiting reactant, we compare the mole ratios of the reactants as given by the balanced equation: N2 : H2 : NH3 = 1 : 3 : 2.
- Calculate the moles of NH3 that can be produced from the moles of each reactant:
Moles of NH3 from N2 = Moles of N2 × (2 moles of NH3 / 1 mole of N2)
Moles of NH3 from H2 = Moles of H2 × (2 moles of NH3 / 3 moles of H2)
- Compare the moles of NH3 produced from each reactant. The reactant that produces the lesser amount of NH3 is the limiting reactant.
3. Calculate the actual amount of NH3 produced:
- If N2 is the limiting reactant, multiply the moles of NH3 from N2 by the molar mass of NH3 to get the mass of NH3 in grams.
- If H2 is the limiting reactant, multiply the moles of NH3 from H2 by the molar mass of NH3 to get the mass of NH3 in grams.
By following these steps, you can determine how many grams of NH3 gas can be produced using the given quantities of N2 and H2.