What is the concentration if 40 g NaOH is dissolved in 1000g of water?
Solution:
The molar mass of NaOH is 40 g/mol.
Hence,
Moles of NaOH = (40 g NaOH) × (1 mol NaOH / 40 g NaOH) = 1 mol NaOH
Molality (m):
Molality of a solution is the moles of solute divided by the kilograms of solvent.
Molality of NaOH solution = Moles of NaOH / Kilograms of solvent
Mass of solvent (H2O) = 1000 g = 1 kg
Hence,
Molality of NaOH solution = 1 mol / 1 kg = 1 mol/kg = 1 m
Thus, a solution made by dissolving 40 g NaOH in 1000 g H2O is 1 molal.
Molarity (M):
Molarity of a solution is the number of moles of solute per liter of solution.
Molarity of NaOH solution = Moles of NaOH / Volume of solution
1000 g of water is equivalent to 1 L
Hence,
Molarity of NaOH solution = 1 mol / 1 L = 1 mol/L = 1 M
Thus, a solution made by dissolving 40 g NaOH in 1000 g H2O is 1 molar.
Normality (N):
Normality of a solution is the gram equivalent weight of a solute per liter of solution.
Since, NaOH is monobasic acid its normality and molarity will be same.
Hence,
Normality of NaOH solution = 1 N
Thus, a solution made by dissolving 40 g NaOH in 1000 g H2O is 1 normal.
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