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Which of the following is correct ?...

Which of the following is correct ?

A

The sum of mole fractions of all the components in a solution is always unity

B

Mole fraction depends upon temperature

C

Mole fraction is always negative

D

Mole fraction is independent of content of solute in solution

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The correct Answer is:
To solve the question regarding the correctness of the statements about mole fraction, we will analyze each option step by step. ### Step-by-Step Solution: 1. **Understanding Mole Fraction**: - Mole fraction (denoted as \( \mu \)) is defined as the ratio of the number of moles of a component to the total number of moles of all components in a solution. - For a solution with components A (solute) and B (solvent), the mole fractions are defined as: \[ \mu_A = \frac{n_A}{n_A + n_B} \] \[ \mu_B = \frac{n_B}{n_A + n_B} \] 2. **Sum of Mole Fractions**: - The sum of the mole fractions of all components in a solution can be calculated as: \[ \mu_A + \mu_B = \frac{n_A}{n_A + n_B} + \frac{n_B}{n_A + n_B} = \frac{n_A + n_B}{n_A + n_B} = 1 \] - This shows that the sum of mole fractions is always unity. 3. **Analyzing Each Statement**: - **Option A**: "The sum of mole fractions of all the components in a solution is always unity." - This statement is **correct** as shown in the previous step. - **Option B**: "Mole fraction depends upon temperature." - This statement is **incorrect**. Mole fraction is a ratio of moles, and the number of moles does not change with temperature. Therefore, mole fraction is independent of temperature. - **Option C**: "Mole fraction is always negative." - This statement is **incorrect**. The number of moles is always positive, hence mole fraction, being a ratio of positive quantities, is also always positive. - **Option D**: "Mole fraction is independent of the content of solute in solution." - This statement is **incorrect**. The mole fraction of a component does depend on the number of moles of that component, which includes the solute. 4. **Conclusion**: - The only correct statement among the options provided is **Option A**: "The sum of mole fractions of all the components in a solution is always unity." ### Final Answer: The correct option is **A**.
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AAKASH INSTITUTE ENGLISH-SOME BASIC CONCEPTS OF CHEMISTRY -ASSIGNMENT SECTION A (Objective Type Questions (One option is correct))
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  2. Molecular mass of C(3) H(7) OH is

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  3. If an atom of an element has twice the mass of C-12 , then its atomic ...

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  4. Formula unit mass of K(2) CO(3) is (Atomic mass of K = 39 u , C = 1...

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  5. The number of moles of nitrogen atom in 56 g nitrogen is

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  6. The number of mole of N - atom in 18.066 x 10 ^(23) nitrogen atoms is

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  7. The number of particles presents in 1 mol of nitrogen atom are

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  8. Molality is expressed in units of

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  9. Which of the following is correct ?

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  10. What weight in grams is represented by 1.5 moles of sulphur dioxide ?

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  11. The number of atoms in 20 g of SO(3) is approximately

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  12. A solution is prepared by dissolving 10 g of KOH in 100 ml of solution...

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  13. How many grams of NaOH are present in 250 mL of 0.5 M NaOH solution ?

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  14. Calculate the molality of solution containing 3 g glucose dissolved in...

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  15. Which of the following methods of expressing concentration varies with...

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  16. Which of the following is incorrect according to Dalton's atomic theor...

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  17. What is the molarity of NaOH solution if 250 mL of it contains 1 mg of...

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  18. The percentage of nitrogen in HNO(3) is

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  19. The precentage composition of calcium , carbon and oxygen in C(a) CO(3...

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  20. The correct relationship between molecular mass (M) and vapour (VD) is

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