A solution contains three components A, B and C, 0.2 mole each, then sum of their mole fractions is :

Question

Accepted Answer

To determine the sum of the mole fractions of components A, B, and C in the solution, we need to understand the concept of mole fraction. The mole fraction 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.

Given:
- Moles of A = 0.2
- Moles of B = 0.2
- Moles of C = 0.2

Total moles in the solution = Moles of A + Moles of B + Moles of C = 0.2 + 0.2 + 0.2 = 0.6

The mole fraction of each component is calculated as follows:
- Mole fraction of A = Moles of A / Total moles = 0.2 / 0.6
- Mole fraction of B = Moles of B / Total moles = 0.2 / 0.6
- Mole fraction of C = Moles of C / Total moles = 0.2 / 0.6

The sum of the mole fractions of all components in a solution is always equal to 1. This is a fundamental property of mole fractions, as they represent the proportion of each component relative to the total.

Therefore, the sum of the mole fractions of A, B, and C is:
(0.2 / 0.6) + (0.2 / 0.6) + (0.2 / 0.6) = 1

Explanation of Options:
1. Option 1 (0.2): This option is incorrect because it does not represent the sum of the mole fractions, which must equal 1.
2. Option 2 (0.6): This option is incorrect because it represents the total number of moles, not the sum of the mole fractions.
3. Option 3 (1): This is the correct answer because the sum of the mole fractions of all components in a solution is always 1.
4. Option 4 (3): This option is incorrect because it does not relate to the concept of mole fractions, which cannot exceed 1.

In conclusion, the sum of the mole fractions of components A, B, and C is 1, making Option 3 the correct answer.