The vapour pressure of
benzene at 80°C is lowered
by 10 mm by dissolving 2g
of a non volatile substance
in 78g of benzene. The
vapour pressure of pure
benzene at 80°C is 750 mm.
The molecular mass of the
substance will be
15
150
1500
190
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Answer:
150 is the correct answer
Explanation:
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Given:
The lowering of vapour pressure (P°-P) = 10 mm Hg
The vapour pressure of pure benzene, P° = 750 mm Hg
The mass of solute, w = 2 gm
The mass of benzene, W = 78 gm
To Find:
The molecular mass of the non- volatile solute.
Calculation:
- Let the molecular mass of the non- volatile solute be M.
- The no of moles of solute, n1 = 2/M
- The no of moles of benzene, n2 = 78/78 = 1
- Lowering of vapour pressure = X(solute)
⇒ (P°-P)/ P° = n1 / (n1 + n2)
⇒ 10/750 = (2/M) / {(2/M) + 1}
⇒ {(2/M) + 1} × 10= (2/M) × 750
⇒ (2 + M)/ M = 150/M
⇒ M = 150 -2
⇒ M = 148 gm
- So, the molecular mass of the non- volatile solute is 148 gm.
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