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To answer the question, pure ammonia has a density of ~0.7-0.9 g/L, depending on temperature. The density of air is ~1.2 g/L, again depending on temperature and pressure. So, yes, ammonia gas is lighter than air in terms of density. 3 people found this useful.
Even methane (natural gas) is lighter than air, but not by much. Carbon dioxide, which is contained in the air we breathe out and is also easily and safely manufactured by mixing bicarbonate of soda and vinegar, is heavier than air. It tends to sink to the floor and accumulate. So it's a good job that houses aren't air tight.