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The density of 2 M aqueous solution of NaOH is 1.28 g/cm3. The molality of the solution is [Given that molecular mass of NaOH = 40 g mol–1]
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Given that, the density of 2 M aqueous solution of NaOH is 1.28 g/cm³.
{ Density (d) is 1.28 g/cm³ and Molarity (M) is 2M }
We have to find molality (m) of the solution.
Now,
The relation between Molality, Molarity and Density is:
m = 1000M/(1000d - 2m.m.)
Here, m = molality, M = Molarity, d = density and m.m. = molar mass
Also given that, Molar Mass (m.m.) of NaCl = 40 g/mol
Substitute the known values in the above formula,
→ m = [1000(2)]/[1000(1.28) - 2(40)]
→ m = 2000/(1280.00 - 80)
→ m = 2000/(1280 - 80)
→ m = 2000/1200
→ m = 20/12
→ m = 5/3
→ m = 1.67
Therefore, the molality of the solution is 1.67 Molal.
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