What is the total volume of gases produced when 3.0 L of nitrogen trichloride (NCl3) decomposes into chlorine and nitrogen at a constant pressure and temperature?
Answers
Given:-
- Volume of NCl₃ taken = 3 L
To find:-
- Total volume of gases produced.
Answer:-
▪At STP, the volume occupied by 1 mole of a gas is 22.4 litres.
▪Balanced chemical reaction:
2NCl₃ ➩ N₂ + 3Cl₂
▪For Nitrogen:
2 moles of NCl₃ gives ➩ 1 mole of N₂
At STP,
→ 2 × 22.4 litres of NCl₃ gives ➩ 22.4 litres of N₂
But 3 litres of NCl₃ was taken. So,
→ 3 litres of NCl₃ gives ➩ [(22.4) / (2 × 22.4)] × 3 litres of N₂
→ 3 litres of NCl₃ gives ➩ 1.5 litres of N₂
▪For Chlorine:
2 moles of NCl₃ gives ➩ 3 moles of Cl₂
At STP,
→ 2 × 22.4 litres of NCl₃ gives ➩ 3 × 22.4 litres of Cl₂
But 3 litres of NCl₃ was taken. So,
→ 3 litres of NCl₃ gives ➩ [(3 × 22.4) / (2 × 22.4)] × 3 litres of Cl₂
→ 3 litres of NCl₃ gives ➩ 4.5 litres of Cl₂
▪Total volume:
Total volume of gases produced = (Volume of Nitrogen produced) + (Volume of Chlorine produced)
→ Total volume of gases produced = 1.5 + 4.5 litres
→ Total volume of gases produced = 6 litres Ans.