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A 1.50 liter flask at a temperature of 25°C contains a mixture of 0.158 moles of methane, 0.09 moles of ethane, and 0.044 moles of butane. What is the total pressure of the mixture inside the flask?

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This
can be solved using Dalton's Law of Partial pressures. This law states that the
total pressure exerted by a gas mixture is equal to the sum of the partial
pressure of each gas in the mixture as if it exist alone in a container. In
order to solve, we need the partial pressures of the gases given. Calculations
are as follows:


P = P1 + P2 + P3
P = (0.08206 atm.L/mol.K)( 298.15
K)/1.50) x (0.158 mole + 0.09 mol + 0.044 mol) = 4.76
atm

To answer this question, we use the ideal gas equation PV=nRT where P is pressure, V is volume, n is the number of moles, R is the gas constant and T is temperature. We add first the number of moles, that is a total of 0.292 moles. Using PV=nRT, the answer is 4.76 atm.

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