Answer:
68.93 g of water
Step-by-step explanation:
The equation for the reaction is;
4NH3(g)+5O2(g)⟶4NO(g)+6H2O(g)
We are given;
Mass of ammonia = 51.0 g
Mass of Oxygen = 51.0 g
We are required to determine the maximum amount of water that can be produced.
Step 1: Number of moles of each reactant
Moles = Mass ÷ Molar mass
Moles of ammonia gas
Molar mass of ammonia = 17.031 g/mol
Moles = 51.0 g ÷ 17.031 g/mol
= 2.995 moles
= 3 moles
Moles of Oxygen gas
Molar mass of oxygen = 16.0 g/mol
Moles = 51.0 g ÷ 16.0 g/mol
= 3.1875 moles
But, from the reaction 4 moles of ammonia reacts with 5 moles of oxygen gas.
Therefore, Oxygen gas is the limiting reactant since the number of moles of oxygen gas are more compared to those of 3.1875 moles.
Step 2: Moles of water that can be produced
From the reaction, 5 moles of oxygen reacts to produce 6 moles of water.
Therefore, for 3.1875 moles of oxygen;
= 3.1875 moles × 6/5
= 3.825 moles of H₂O
Step 3: Mass of water produced
Mass = number of moles × Molar mass
Molar mass of water = 18.02 g/mol
Therefore;
Moles of water = 3.825 moles × 18.02 g/mol
= 68.9265 g
= 68.93 g of water