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Question
A sample of ammonium nitrate when heated yields 8.96 litres of steam (measure at STP).
\[\ce{NH4NO3 -> N2O + 2H2O}\]
- What volume of dinitrogen oxide is produced at the same time as 8.96 litres of steam?
- What mass of ammonium nitrate should be heated to produce 8.96 litres of steam? (Relative molecular mass of ammonium nitrate is 80).
- Determine the percentage of oxygen in ammonium nitrate (O = 16).
Solution
(i) \[\ce{\underset{1 vol.}{NH4NO3} ->[\Delta] \underset{2 vol.}{N2O_{(g)}} + 2H2O_{(g)}}\]
Volume of N2O produced = `1/2 xx 8.69`
= 4.48 L
(ii) \[\ce{\underset{1 mole}{NH4NO3}->[\Delta]\underset{2 moles}{N2O} + 2H2O}\]
1 mole of NH4NO3 has mass = 14 + 4 + 14 + 48
= 80 g
44.8 L of steam at STP is obtained from NH4NO3 = 80 g
∴ 8.96 L of steam will be liberated by = `80/44.8 xx 8.96`
= `(80 xx 2)/10`
= 16 g
(iii) % age of oxygen in NH4NO3 = `48/80 xx 100/1`
= 60%
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