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Ammonium nitrate fertiliser is made by the following reaction: nh3 + HNO3 ammonia + nitric acid n*h_{4}*n*o_{3} ammonium nitrate how many tonnes of ammonia is needed to make 2400 tonnes of ammonium nitrate? (1 tonne 1000 kg) ( n = 14 , h = 1 o = 16 )
Accepted Answer
Here's how to calculate the amount of ammonia needed:
1. Balance the chemical equation:
NH3 + HNO3 → NH4NO3
2. Determine the molar masses:
NH3 (ammonia): 14 + (1 x 3) = 17 g/mol
NH4NO3 (ammonium nitrate): 14 + (1 x 4) + 14 + (16 x 3) = 80 g/mol
3. Set up a proportion based on the mole ratio:
1 mol NH3 / 1 mol NH4NO3 = x tonnes NH3 / 2400 tonnes NH4NO3
4. Solve for x (tonnes of ammonia):
x = (1 mol NH3 / 1 mol NH4NO3)
(2400 tonnes NH4NO3)
(17 g/mol NH3 / 80 g/mol NH4NO3)
x = 510 tonnes NH3
Therefore, 510 tonnes of ammonia are needed to make 2400 tonnes of ammonium nitrate.
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