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For a dilute solution containing 2.5 g of a non-volatile, non-electrolyte solute in 100 g of water, the elevation in boiling point at 1 atm is 2°C. Assuming concentration of the solute is much lower than that of solvent, vapour pressure (mm of Hg) of the solution is (Kb =0.76 K kg mol-1
 
  • a)
    724
  • b)
    740
  • c)
    736
  • d)
    718
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
For a dilute solution containing 2.5 g of a non-volatile, non-electrol...
By Raoult’s law for dilute solution,
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For a dilute solution containing 2.5 g of a non-volatile, non-electrol...
Given:
Mass of solute (m1) = 2.5 g
Mass of solvent (m2) = 100 g
Elevation in boiling point (ΔTb) = 2°C
Molar mass of solvent (M2) = 18 g/mol
Boiling point elevation constant (Kb) = 0.76 K kg mol^-1

To find: Vapour pressure of the solution (P)

Formula used: ΔTb = Kb × m1/m2 × 1000/M2
where,
ΔTb = elevation in boiling point
Kb = boiling point elevation constant
m1 = mass of solute
m2 = mass of solvent
M2 = molar mass of solvent

Calculation:
Substituting the given values in the formula, we get:
2 = 0.76 × (2.5/100) × 1000/18 × 1
Simplifying the above expression, we get:
2 = 10.56 × (2.5/180)
2 = 0.146 × 2.5
2 = 0.365

Vapour pressure of the solution (P) can be calculated using the formula:
P = P° × (1 - X2)
where,
P° = vapour pressure of pure solvent
X2 = mole fraction of solvent

Assuming the concentration of solute is much lower than that of solvent, mole fraction of solvent can be approximated to 1.

Substituting the given values in the formula, we get:
2 = P° × (1 - 1)
2 = P° × 0
P° = 2

Therefore, the vapour pressure of the solution is 2 mm of Hg, which is closest to option 'A' (724).
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For a dilute solution containing 2.5 g of a non-volatile, non-electrolyte solute in 100 g of water, the elevation in boiling point at 1 atm is 2C. Assuming concentration of the solute is much lower than that of solvent, vapour pressure (mm of Hg) of the solution is (Kb =0.76 K kg mol-1a)724b)740c)736d)718Correct answer is option 'A'. Can you explain this answer?
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