Step-by-step explanation
Given:
Balanced equation: 4NH3 + 302 --> 2N₂ + 6H₂O
Volume of NH3 = 71.9 g
O2 is in excess
At STP : Pressure = 1 atm
: Temperature = 273 K
We know the R constant = 0.082 L.atm/K.mol
Required: Find the mass of water
Solution
Step 1: Find the moles of NH3 using the ideal gas law
PV = nRT where P is the pressure, V is the volume, n is the moles, R is the gas constant and T is the temperature.
n = PV/RT
n = (1 atm x 71.9L)/(0.082 L.atm/K.mol x 273 K)
n = 3.212 mol
Step 2: Find the moles of water using stoichiometry
The moles of H2O = 3.212 mol x (6/4)
= 4.818 mol
Step 3: Calculate the mass of H2O
m = n x M where m is the mass, n is the moles and M is the molar mass
m = 4.818 mol x 18,01528 g/mol
m = 75.32 g
Answer
Mass of water = 75.32 g