Answer :
The mole fraction of neon is 0.478, oxygen is 0.301, and carbon dioxide is 0.221.
To find the mole fraction of each gas, we need to calculate the moles of each gas first. To do this, we'll use the formula:
moles = mass / molar mass
For neon (Ne):
moles of Ne = 5.00 g / 20.18 g/mol = 0.248 moles
For oxygen (O2):
moles of O2 = 5.00 g / 32.00 g/mol = 0.156 moles
For carbon dioxide (CO2):
moles of CO2 = 5.00 g / 44.01 g/mol = 0.114 moles
Next, we'll calculate the total moles of the mixture:
total moles = moles of Ne + moles of O2 + moles of CO2
total moles = 0.248 moles + 0.156 moles + 0.114 moles = 0.518 moles
Now, we can find the mole fraction of each gas:
mole fraction of Ne = moles of Ne / total moles = 0.248 moles / 0.518 moles = 0.478
mole fraction of O2 = moles of O2 / total moles = 0.156 moles / 0.518 moles = 0.301
mole fraction of CO2 = moles of CO2 / total moles = 0.114 moles / 0.518 moles = 0.221
Therefore, the mole fraction of neon is 0.478, oxygen is 0.301, and carbon dioxide is 0.221.
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The mole fraction of a gas can be calculated by dividing the moles of the gas by the total moles of all gases in the mixture. To find the moles of each gas, we need to use their molar masses.
To find the mole fraction of each gas, we need to calculate the moles of each gas by dividing its mass by its molar mass.
Molar mass of Ne = 20.18 g/mol
Molar mass of O2 = 32.00 g/mol (16.00 g/mol x 2)
Molar mass of CO2 = 44.01 g/mol (12.01 g/mol + 16.00 g/mol x 2)
Using these molar masses, we can calculate the moles of each gas:
Moles of Ne = 5.00 g / 20.18 g/mol
Moles of O2 = 5.00 g / 32.00 g/mol
Moles of CO2 = 5.00 g / 44.01 g/mol
To find the total moles, we sum up the moles of each gas:
Total moles = Moles of Ne + Moles of O2 + Moles of CO2
Now, we can calculate the mole fraction of each gas:
Mole fraction of Ne = Moles of Ne / Total moles
Mole fraction of O2 = Moles of O2 / Total moles
Mole fraction of CO2 = Moles of CO2 / Total moles
The mole fractions of Ne, O2, and CO2 in the mixture are calculated using the above steps. Then, we sum up the moles of all gases to find the total moles. Finally, we divide the moles of each gas by the total moles to find the mole fraction of each gas.
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