Hydrofluoric acid is produced in the following reaction:
H2 + F2 = 2HF
Molecular weight of H2 = 2 g/mol
In the reaction, 23 g of hydrogen (H2) is used. As a result, 23 g / 2 g/mol = 11.5 moles of hydrogen are used to produce 11.5 / 2 = 5.75 moles of HF.
As at 28°C, hydrogen fluoride is a gas, the ideal gas equation should be used to estimate the volume of the gas.
According to the ideal gas equation:
V = nRT / P,
where V - gas volume, n - number of moles, R - gas constant, T - temperature, P - pressure.
Here, n = 5.75 moles, R = 0.082057 L•atm•K-1•mol-1, T = 28°C = 301.15 K, P = 1 atm.
As a result,
V = 5.75 moles × 0.082057 L•atm•K-1•mol-1× 301.15 K / 1 atm= 142 L.
Answer: 142 L.
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