Relation between molarity and molality?
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Posted by Subham Sahu 5 years, 10 months ago
- 2 answers
Divya Shrivastav 5 years, 10 months ago
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Yogita Ingle 5 years, 10 months ago
Let the mass of given solute be W.
Let the volume of the solution be V.
Let the molality be m.
Let the molar mass of solute be M’.
Let the Molarity be M.
Let the weight of the solvent be W’.
Therefore the Molarity, M = W/M′∗1000/V ………(1)
Therefore the molality, m = W/M′∗1000/W′ …….(2)
Density, d = M/V
= (W+W′)/V
From (1)
V = W∗1000MM′ …………. (3)
From (2)
W’ = W∗1000/mM′
Therefore,
W+W’ = W+W∗1000/mM′ 1000M′[mM′1000m+1m]W′ …………(4)
By dividing equation (4) by (3) we get,
dM=1/m+M′1000 1/m=d/M−M′1000 m=M∗1000/(d∗1000)−M(M′)
Hence the relation between molality and Molarity proved.
2Thank You