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NEET CHEMISTRYEasy

Which of the following options incorrectly describes the possible range of values for the mole fraction (xx) of a component in a mixture?

A

x<1x < 1

B

2x2- 2 \le x \le 2

C

0x10 \le x \le 1

D

xx is always non-negative

Step-by-Step Solution

  1. Definition: Mole fraction (xx) is the ratio of the number of moles of a specific component to the total number of moles of all components in the solution [Class 12 Chemistry, Ch 1, Sec 1.2.1, Eq 1.4].
  2. Non-negativity: Since the number of moles (nn) is a count of particles, it must be non-negative (n0n \ge 0). Therefore, mole fraction xx is always non-negative (x0x \ge 0).
  3. Upper Limit: The sum of the mole fractions of all components in a mixture is unity (11) [Class 12 Chemistry, Ch 1, Sec 1.2.1, Eq 1.7]. Consequently, the mole fraction of any single component cannot exceed 1.
  4. Mixture Constraint: For a mixture (implying at least two components present), xx must be strictly less than 1 (x<1x < 1) and greater than 0.
  5. Evaluate Option B: The range 2x2-2 \le x \le 2 implies that mole fraction can be negative or greater than 1, both of which are physically impossible. Thus, this description is incorrect.
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