Answer
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Hint: Mole fraction is a method of expressing the concentration of the components of a mixture or a solution calculated using the value of moles of each component present in the mixture or solution
Its value is independent of the temperature hence is widely used as a concentration expressing unit in solutions and mixtures.
Formula used:
${X_a} = \dfrac{{{n_a}}}{{{n_a} + {n_b}}}$
${X_b} = \dfrac{{{n_b}}}{{{n_a} + {n_b}}}$
Where ${X_a}$ is the mole fraction of component ‘a’ present in the mixture of ‘a’ and ‘b’
${X_b}$ Is the mole fraction of component ‘b’ present in the mixture of ‘a’ and ‘b’
While ${n_{a\,}}\,and\,{n_b}$ are the moles of component ‘a’ and component ‘b’
${X_a} + {X_b} = 1$ (Always)
Complete step by step solution:
In the given question a solution of water and acetaldehyde is given
Let the weight of solution be $100gm$
Then given water is $36\% $ present in the solution hence it is $36gm$
And acetaldehyde given as $64\% $ would be $64gm$
Now moles of a molecule is given by $n = \dfrac{{given\,weight}}{{Molecular\,weight}}$
Using this moles of acetaldehyde (also known as ethanal) will be
${n_a} = \dfrac{{64}}{{44}}$
${n_a} = 1.4545$
And moles of water will be
${n_b} = \dfrac{{36}}{{18}}$
${n_b} = 2$
As we know mole fraction is calculated as
${X_a} = \dfrac{{{n_a}}}{{{n_a} + {n_b}}}$
Using this mole fraction of acetaldehyde will be
${X_a} = \dfrac{{1.4545}}{{1.4545 + 2}}$
${X_a} = 0.42$
Hence option “A” is the correct solution for this question.
Additional Information:
-Mole fraction of a particular component in a mixture of at least two components will always be lesser than one
-Pressure due to an individual gas in a mixture of gases commonly known as partial pressure is directly proportional to the mole fraction of that gas
Note:
-Mole fraction being a ratio of number of moles is dimensionless.
-Also, Mole fraction and Molality are the only two concentration expression units whose value remains constant whatever be the changes in the surrounding temperature.
Its value is independent of the temperature hence is widely used as a concentration expressing unit in solutions and mixtures.
Formula used:
${X_a} = \dfrac{{{n_a}}}{{{n_a} + {n_b}}}$
${X_b} = \dfrac{{{n_b}}}{{{n_a} + {n_b}}}$
Where ${X_a}$ is the mole fraction of component ‘a’ present in the mixture of ‘a’ and ‘b’
${X_b}$ Is the mole fraction of component ‘b’ present in the mixture of ‘a’ and ‘b’
While ${n_{a\,}}\,and\,{n_b}$ are the moles of component ‘a’ and component ‘b’
${X_a} + {X_b} = 1$ (Always)
Complete step by step solution:
In the given question a solution of water and acetaldehyde is given
Let the weight of solution be $100gm$
Then given water is $36\% $ present in the solution hence it is $36gm$
And acetaldehyde given as $64\% $ would be $64gm$
Now moles of a molecule is given by $n = \dfrac{{given\,weight}}{{Molecular\,weight}}$
Using this moles of acetaldehyde (also known as ethanal) will be
${n_a} = \dfrac{{64}}{{44}}$
${n_a} = 1.4545$
And moles of water will be
${n_b} = \dfrac{{36}}{{18}}$
${n_b} = 2$
As we know mole fraction is calculated as
${X_a} = \dfrac{{{n_a}}}{{{n_a} + {n_b}}}$
Using this mole fraction of acetaldehyde will be
${X_a} = \dfrac{{1.4545}}{{1.4545 + 2}}$
${X_a} = 0.42$
Hence option “A” is the correct solution for this question.
Additional Information:
-Mole fraction of a particular component in a mixture of at least two components will always be lesser than one
-Pressure due to an individual gas in a mixture of gases commonly known as partial pressure is directly proportional to the mole fraction of that gas
Note:
-Mole fraction being a ratio of number of moles is dimensionless.
-Also, Mole fraction and Molality are the only two concentration expression units whose value remains constant whatever be the changes in the surrounding temperature.
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