What is the apparent gas constant for a gas mixture
Asked by wiki @ in Engineering viewed by 560 People
Find the apparent gas constant of an ideal gas mixture consisting of 2 kmol of N2 and 4 kmol of CO2
Answered by wiki @
Answer:
Gas constant = 0.499 kJ/kg.K
Explanation:
n = number of moles
nN2 = 2 kmol
nCO2 = 4 kmol
Total number of moles = 2 + 4 = 6 kmol of mixture
let y be the mole fractions of the mixture:
yN2 = number of moles of N2/total number of moles = 2/6 = 0.33 kmol/kmol
yCO2 = number of moles of CO2/total number of moles = 4/6 = 0.67 kmol/kmol
The molar mass of an ideal gas mixture is defined by the mass of mixture divided by the total number of moles of the mixure:
We assume there is 100 kg of the gas mixture if the mass is not given.
Therefore:
Molar mass of mixture = mass of mixture/total moles of mixture = 100kg/6kmol = 16.67kg/kmol
The gas constant of a mixture is defined as the universal gas constant (ideal gas constant = 8.314 kJ/kmol.K) divided by the molar mass of the mixture.
Therefore:
The gas constant of the mixture = 8.314kJ/kmol.K/16.67kg/kmol = 0.499 kJ/kmol.K
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