10 g of NaOH is dissolved in 250 ml water. Calculate the molality of this solution if density of pure water under experimental condition is 1g/ml.
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Explanation :
We have given mass of NaOH = 10g
Volume of water = 250 ml
Density of water = 1 g/ml
What is molality of solution?
Mass of solution is given by,
★ Mass = Volume × Density
⇒ Mass = 250ml × 1g/ml
⇒ Mass = 250 g
⇒ Mass = 250/1000 kg
⇒ Mass = 0.25 kg
Now we know,
★ No.of moles = Given mass/Molar mass
★ Molar mass of NaOH = 40 g
Therefore,
⇒ No. of moles = 10/40
⇒ No. of moles = 0.25
Now we know that,
★ Molality = No.of moles / Mass of solution (kg)
⇒ Molality = 0.25/0.25
⇒ Molality = 1 mol/kg
∴ Molality of solution = 1 molkg-¹
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