nitrogen + hydrogen----------> ammonia
How many grams of ammonia can produced from 3.47 moles of hydrogen?
let's see: ammonia is NH3, so it takes 3 moles of H to make one mole of NH3
that should tell you how many grams you end up with
To calculate the number of grams of ammonia produced from a given number of moles of hydrogen, you need to know the balanced chemical equation for the reaction, as well as the molar mass of ammonia (NH₃).
The balanced chemical equation for the reaction between nitrogen and hydrogen to form ammonia is:
N₂ + 3H₂ → 2NH₃
From this equation, we can see that for every 3 moles of hydrogen, 2 moles of ammonia are produced.
Next, we need to determine the molar mass of ammonia (NH₃). Nitrogen (N) has a molar mass of approximately 14.01 g/mol and hydrogen (H) has a molar mass of approximately 1.01 g/mol. The molar mass of ammonia is the sum of the molar masses of nitrogen and three times the molar mass of hydrogen.
Molar mass of NH₃ = (1 × molar mass of N) + (3 × molar mass of H)
Molar mass of NH₃ = (1 × 14.01 g/mol) + (3 × 1.01 g/mol)
Molar mass of NH₃ = 14.01 g/mol + 3.03 g/mol
Molar mass of NH₃ = 17.04 g/mol
Now that we know the molar mass of NH₃, we can calculate the mass of ammonia produced using the given number of moles of hydrogen.
Given: 3.47 moles of hydrogen
Using the molar ratio from the balanced chemical equation, we can determine the number of moles of ammonia produced:
Moles of ammonia = (2 moles of NH₃ / 3 moles of H₂) × 3.47 moles of H₂
Moles of ammonia = (2/3) × 3.47
Moles of ammonia = 2.31 moles
To calculate the mass of ammonia produced, we can multiply the moles of ammonia by the molar mass of NH₃:
Mass of ammonia = moles of ammonia × molar mass of NH₃
Mass of ammonia = 2.31 moles × 17.04 g/mol
Mass of ammonia = 39.465 g
Therefore, approximately 39.465 grams of ammonia can be produced from 3.47 moles of hydrogen.