When 15.0 g of fluorite (CaF₂) reacts with excess sulfuric acid, hydrogen fluoride gas is collected at 744 torr and 25.5°C. Solid calcium sulfate is the other product. What gas temperature is required to store the gas in an 8.63-L container at 875 torr?

Respuesta :

The temperature will be 331.85 °C  which is  required to store the gas in an 8.63-L container at 875 torr.

Given data:

The reaction equation is:  CaF₂ + H₂SO₄ → 2HF + CaSO₄

The molar ratio between fluorite and hydrogen fluoride is 1 : 1.

The moles of fluorite can be determined by using the formula:

Moles = mass / molar mass.....(i)

Mass = 15 gram.

molar mass = 78.07 g

Put the value of given data in equation (i).

Moles = 15 / 78.07                          

Moles = 0.200 mol.

The moles of hydrogen fluoride produced will be 0.2.Now, we may use the ideal gas equation to determine the temperature:

PV = nRT.....(ii)

where, P is pressure, T is temperature and n is number of moles.

Rearrange the equation (i) and put the given data.                

T = PV/nR

T = (875 * 8.63) / (0.2 * 62.36)

T = 605.45K

The temperature will be 331.85 °C  which is  required to store the gas in an 8.63-L container at 875 torr.

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