A salt solution sample contains a total of 20 mole. Mole fraction of salt in this solution is 0.2. How many mole of water are present in the given sample?
Answers
Explanation:
Learning Objective
Calculate the mole fraction and mole percent for a given concentration of mixture
Key Points
Mole fraction describes the number of molecules (or moles) of one component divided by total the number of molecules (or moles) in the mixture.
Mole fraction is useful when two reactive components are mixed together, as the ratio of the two components is known if the mole fraction of each is known.
Multiplying mole fraction by 100 gives mole percent, which describes the same thing as mole fraction, just in a different form. Mole fractions can be generated from various concentrations including molality, molarity and mass percent compositions.
The given sample contains 16 moles of water.
If salt has a mole fraction of 0.2, then water has a mole fraction of:
Water's mole fraction is calculated as follows:
mole fraction of water = 1 - mole fraction of salt.
mole fraction of water = 1 - 0.2
Water has a mole fraction of 0.8.
We are aware that there are a total of 20 moles in the sample. Assuming that there are n moles of salt, there are n moles of water.
Total moles minus salt moles equal the number of moles of water.
the number of moles of water= 20 - n
The number of moles of water and the total number of moles can be used to express the mole fraction of water as follows:
Water moles= number of moles of water / total number of moles
In place of the values we hold:
0.8 = (20 - n) / 20
When we multiply both sides by 20, we obtain the following:
16 = 20 - n
n = 20 - 16
n = 4
As a result, there are four moles of salt and one mole of water, respectively.
number of moles of water= 20 - 4
number of moles of water= 16 moles
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