Solution: A mixture of CH4 (g) and C2 H6 (g) has a total pressure of 0.54 atm . Just enough O2 (g) is added to the mixture to bring about its complete combustion to CO2 (g) and H2 O(g). The total pressure of the two product gases is 2.3 atm .Assuming constant volume and temperature, find the mole fraction of CH4 in the mixture.

Problem

A mixture of CH4 (g) and C2 H6 (g) has a total pressure of 0.54 atm . Just enough O2 (g) is added to the mixture to bring about its complete combustion to CO2 (g) and H2 O(g). The total pressure of the two product gases is 2.3 atm .

Assuming constant volume and temperature, find the mole fraction of CH4 in the mixture.

Solution

We’re being asked to calculate the mole fraction of CH4 in a mixture of CH4 and C2H6


Recall that the partial pressure of a gas (PGas) in a mixture is given by:

Pgas =χgasPtotal


where χGas = mole fraction of the gas and Ptotal = total pressure of the gas mixture


The mole fraction of the gas is then given by:

χgas = moles gastotal moles


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