COMEDK2021ChemistrySolutions
Which of the following is correct order of their increasing boiling points?
Options
- A10⁻⁴ M NaCl >10⁻³ M MgCl ₂>10⁻² M NaCl >10⁻⁴ M urea.
- B10⁻² M NaCl >10⁻³ M MgCl ₂>10⁻⁴ M NaCl >10⁻⁴ M urea.
- C10⁻⁴ M urea >10⁻⁴ M NaCl >10⁻³ M MgCl ₂>10⁻² M NaCl .
- D10⁻² M NaCl >10⁻³ M MgCl ₂>10⁻⁴ M NaCl >10⁻⁴ M urea.
Correct answer
B. 10⁻² M NaCl >10⁻³ M MgCl ₂>10⁻⁴ M NaCl >10⁻⁴ M urea.
Step-by-step solution
The elevation in boiling point is given by T_b = i K_b m , where i is the van't Hoff factor and m is the molality. Since K_b is constant for the solvent, the boiling point is directly proportional to the product i m . Calculate the value of i m for each solution: 1. 10⁻⁴ M urea : i = 1 , i m = 1 10⁻⁴ = 10⁻⁴ 2. 10⁻⁴ M NaCl : i = 2 , i m = 2 10⁻⁴ = 2 10⁻⁴ 3. 10⁻³ M MgCl ₂ : i = 3 , i m = 3 10⁻³ = 30 10⁻⁴ 4. 10⁻² M NaCl : i = 2 , i m = 2 10⁻² = 200 10⁻⁴ Comparing the values of i m : 200 10⁻⁴ > 30 10⁻⁴ > 2 10⁻⁴ > 10⁻⁴