30gm of nacl dissolved in 350g of solvent . calculate molality
Answers
Solution:
Given , 30g of solution dissolved in 350g of solvent . Here , we need to find molality
We know that
Molality = Number of moles of solute/mass of solvent in kg
★ Conversion:
Here , given 30g of NaCl
Firstly , finding mass of NaCl
NaCl = 1 × (23) + 1 × (35.5)
NaCl = 23 + 35.5
NaCl = 58.5
That means , if NaCl has a mass of 58.5g then it has 1 mole
In other form:
58.5g of NaCl → has 1 mole
For 30g → ? moles
By cross multiplication
30 × 1 = 58.5 × ?
? = 30/58.5
? = 0.51
Hence , number of moles of NaCl = 0.51 moles. That means no. of moles of solute = 0.5 moles
Now , coverting 350g → kg
To covert we have to multiply with 10-³
350 × 10-³
350/10³
35/100
0.35 kg
Hence , 350g = 0.35kg . That means mass of solvent in kg = 0.35kg
______________________________
Now , coming to the question
Molality = No. of moles of solute/Mass of solvent kg
Molality = 0.51 ÷ 0.35
Molality = 1.45 mol kg-¹
Hence , molality of the solution = 1.45 mol/kg