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Question : Concentration of 1 molar solution is
a) more than 1 molal solution
b) less than 1 molal solution
As per my understanding, whether one will be greater than the other will depend upon the density of the solvent.
Take for example- We take a solute like NaCl (which actually doesnt contribute to the volume of the solution after getting dissolved because it goes into the intermolecular spaces of the solvent) and water.
Water has a density of 1kg/L.
Therefore, if we are adding x moles of NaCl in 1L of water, then,
Molarity= x Molar
Molality= x Molal (Since, 1L of water has a mass of 1kg)
Therefore, in this case, Molarity=Molality
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Now , consider the same x mloes of NaCl being mixed into 1L of any other solvent of density p kg/L such that p>1.
Then,
Molality= x Molar
Molality= x/p Molal (and you can see that x/p < x)
Therefore, in this case, Molality < Molarity.
Finally, consider x moles of NaCl being mixed into 1L of any solvent of density q kg/L such that q<1.
Molality= x/q Molal ( and you can see that x/q > x)
Therefore, in this case, Molality > Molarity.
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