mole fraction of HCl in aqueous solution is 0.1 then what will be the ...
Calculation of Molality of HCl in Aqueous Solution
Given:
Mole fraction of HCl (X(HCl)) = 0.1
Formula to calculate Molality (m):
Molality (m) = (moles of solute) / (mass of solvent in kg)
Step 1: Calculate moles of HCl:
Since mole fraction of HCl is given as 0.1, assume we have 1 mole of the solution.
Therefore, moles of HCl = 0.1 moles
Step 2: Calculate mass of solvent in kg:
Since the mole fraction of HCl is 0.1, the mole fraction of water (X(H2O)) will be 0.9 (as the sum of mole fractions in a solution is always 1).
Given that the mole fraction of HCl is 0.1, we can assume 100 g of the solution.
Therefore, mass of water = 90 g (100 g - 10 g HCl)
Converting mass of water to kg: 90 g = 0.09 kg
Step 3: Calculate Molality of HCl:
Molality (m) = (moles of HCl) / (mass of water in kg)
Molality (m) = 0.1 moles / 0.09 kg
Molality (m) = 1.11 mol/kg
Therefore, the molality of HCl in the aqueous solution with a mole fraction of 0.1 is 1.11 mol/kg.
mole fraction of HCl in aqueous solution is 0.1 then what will be the ...
XHcl=nHcl/(nHcl+nH20)=0.1
XH20=nH20/(nHcl+nH20)=0.9
(1)~mHcl/(36.5g/mol)÷((mHcl/(36.5g/mol)+mH20/18g/mol))=0.1
(2)~mH20/18g/mol÷((mHcl/(36.5g/mol)+mH20/18g/mol))=0.9
by solving the two simultaneously, you get
mH20=4.4gm
mHcl=0.99gm
molality=nHcl/mH20(Kg)
m=0.99gm/(36.5gm/mol)÷(4.4×10^-3)Kg
m=0.027mol/4.4×10^-3Kg
m=6.1mol/Kg