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Assertion: The sum of mol fractions of a...

Assertion: The sum of mol fractions of all the components of a solution is unity.
Reason: Mole fraction is temperature dependent mode of concentrations.

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To solve the assertion-reason question, we need to analyze both the assertion and the reason provided. ### Step 1: Analyze the Assertion The assertion states: "The sum of mole fractions of all the components of a solution is unity." - **Definition of Mole Fraction**: The mole fraction (X) of a component in a solution is defined as the ratio of the number of moles of that component to the total number of moles of all components in the solution. - **Mathematical Representation**: - Let’s consider two components A and B in a solution. - If \( n_A \) is the number of moles of A and \( n_B \) is the number of moles of B, then: - Mole fraction of A, \( X_A = \frac{n_A}{n_A + n_B} \) - Mole fraction of B, \( X_B = \frac{n_B}{n_A + n_B} \) - **Sum of Mole Fractions**: \[ X_A + X_B = \frac{n_A}{n_A + n_B} + \frac{n_B}{n_A + n_B} = \frac{n_A + n_B}{n_A + n_B} = 1 \] Thus, the assertion is **true**. ### Step 2: Analyze the Reason The reason states: "Mole fraction is a temperature-dependent mode of concentration." - **Understanding Mole Fraction**: Mole fraction is calculated based on the number of moles of each component in the solution. It does not depend on temperature or pressure; it is solely a function of the amount of substance present. - **Conclusion**: Since mole fraction does not change with temperature, the reason is **false**. ### Final Conclusion - The assertion is true: The sum of mole fractions of all components of a solution is indeed unity. - The reason is false: Mole fraction is not temperature-dependent. ### Answer: - Assertion: True - Reason: False
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