equal amounts of solutions of NaOH having concentration 10%(wt/wt) and 20%(wt/wt) are mixed. What will be molality of the NaOH in the resulting solution?
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equal amounts of solutions of NaOH having concentration 10%(wt/wt) and 20%(wt/wt) are mixed.
in 10%(W/W) NaOH solution, 10g of NaOH presents in 100g of solution.
and in 20% (W/W) NaOH solution, 20g of NaOH presents in 100g of solution.
let's take 100g of each of solutions.
so, total mass of solute = 10g + 20g
= 30g
and total mass of solvent = (100 - 10)g + (100 - 20)g
[as we know, mass of solution = mass of solute + mass of solvent ]
= 90g + 80g = 170g
now, no of moles of solute = mass of solute/molar mass of solute
= 30g/40g/mol [ molar mass of NaOH = 40g/mol ]
= 0.75 mol
now, molality = no of moles of solute/mass of solvent in Kg
= 0.75/(170/1000)
= 750/170
≈ 4.41m
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