Find mole-fraction of each component in 180 gm ethanol and 108gm water.
Answers
Answer:
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Concept:
The number of moles of a particular component in the solution divided by the overall number of moles in the sample solution is known as the mole fraction.
Given:
The mass of ethanol = 180 g
The mass of water = 108 g
Find:
Find the mole fraction of each component in 180 g ethanol and 108 g water.
Solution:
The number of moles (n) of a component can be calculated as:
n = Mass / Molar mass
Molar mass of ethanol = 46g/mol
The molar mass of water = 18 g/mol
The number of moles of ethanol = 180 g / 46 g/mol = 3.9 mol = 4 moles
The number of moles of water = 108 g / 18 g/mol = 6 moles
The mole fraction of ethanol can be calculated as follows below.
Mole fraction of ethanol = Number of moles of ethanol / ( Number of moles of ethanol + Number of moles of water)
= 4 moles / (4 + 6) moles
= 4 / 10
= 0.4
Mole fraction of water = Number of moles of water / ( number of moles of ethanol + number of moles of water)
= 6 moles / (4 + 6) moles
= 6 / 10
= 0.6
Hence, the mole fraction of each component in 180 g ethanol and 108 g water are 0.4 and 0.6 respectively.
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