Question

a gas mixture being used to simulate the atmosphere of another planet consists of 318 mg of methane, 183 mg of argon, and 270 mg of nitrogen. the partial pressure of nitrogen at 264 k is 19 kpa. calculate the total pressure of the mixture. answer in units of kpa.

Answer 1

The total pressure of the mixture.answer in units of kpa is  24.4 kPa .

Dalton's Law of Partial Pressures

The mole fraction of a gas times the total pressure = partial pressure of that gas

Total pressure = sum of partial pressures of all the gases present

moles methane (16 g/mol) = 305 mg x 1 g/1000 mg x 1 mol/16 g = 0.0191 mols

moles argon (40 g/mol) =  186 mg x 1 g/1000 mg x 1 mol/40 g = 0.00465 mols

moles nitrogen (28 g/mol) = 267 mg x 1 g/1000 mg x 1 mol/28 g) = 0.00954 mols

Total moles = 0.03329 moles

Mole fraction nitrogen = 0.00954 / 0.03329 = 0.287

0.287 Ptotal = 7 kPa

Ptotal = 7 kPa / 0.287 = 24.4 kPa ...  total pressure of the mixture

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