You are supplied with 25% (by mass) aqueous solution of Sulphuric acid(98g/mol) having a density of 1.84g/cc. (3a)Calculate the molality of the solution. (show calculation)
Answers
Answer:
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Given:-
→ Concentration [by mass] = 25%
→ Molar mass of Sulphuric acid = 98g/mol
→ Density of the solution = 1.84g/cc
To find:-
→ Molality of the solution.
Solution:-
It is clear that sulphuric acid is solute and water is solvent.
Let the total mass of the solution be 100g.
Then mass of solute [sulphuric acid] :-
= 100/100 × 25
= 25g
And mass of solvent [water] :-
= 100 - 25
= 75g
Number of mole in 25g of solute :-
= Given Mass/Molar mass
= 20/98
= 0.255 mole [approximately]
Now, let's convert the mass of solvent from 'grams' to 'kilograms' :-
=> 1g = 0.001kg
=> 75g = 75(0.001)
=> 0.075kg
Molality of a solution :-
= Moles of solute/Mass of solvent in kg
= 0.255/0.075
= 255/75
= 3.4m
Thus, molality of the solution is 3.4m .