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if density of 5 m aqueous solution of naoh is 1.45 g ml then molality of the solution will be

Question

If density of 5 m aqueous solution of NaOH is 1.45 g/ml then molality of the solution will be

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Solution

To find the molality of the solution, we need to know the mass of the solute (NaOH) and the mass of the solvent (water).

Step 1: Calculate the mass of the solution The density of the solution is given as 1.45 g/ml. We have 5 m of the solution. So, the total mass of the solution is: Density * Volume = 1.45 g/ml * 5 m = 1.45 g/ml * 5000 ml = 7250 g

Step 2: Calculate the mass of the solvent (water) We know that a 5 m solution means that there are 5 moles of NaOH in 1 kg of water. The molar mass of NaOH is approximately 40 g/mole. So, the mass of NaOH in the solution is: 5 moles * 40 g/mole = 200 g The mass of the water in the solution is the total mass of the solution minus the mass of the NaOH: 7250 g - 200 g = 7050 g = 7.05 kg

Step 3: Calculate the molality of the solution Molality is defined as the number of moles of solute per kilogram of solvent. So, the molality of the solution is: 5 moles / 7.05 kg = 0.71 mol/kg

So, the molality of the 5 m aqueous solution of NaOH is approximately 0.71 mol/kg.

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