The concentrated sulfuric acid we use in the laboratory is 98% H_2SO_4 by mass. Calculate the molality and molarity of the acid solution. The density of the solution is 1.83 \frac{g}{mL} answers are 5\times10^{-2} m, 18.3M

York

York

Answered question

2020-11-02

The concentrated sulfuric acid we use in the laboratory is 98% H2SO4 by mass. Calculate the molality and molarity of the acid solution. The density of the solution is 1.83 gmL answers are 5×102 m, 18.3M

Answer & Explanation

gwibdaithq

gwibdaithq

Skilled2020-11-03Added 84 answers

Mass percent of H2SO4 solution=98%
98%(m/m) H2SO4 solution means 98 g of H2SO4 solute is present per 100 g of solution.
Mass of H2SO4 solute =98 g
Mass of water =(100-98)g
=2g×1 kg1000 g
=0.002 kg
Mass of H2SO4 solute =98 g
Molar mass of H2SO4 solute =98.09 g/mol
No of moles of H2SO4 solute =98g×1mol98.09g
=0.999 mol
Molality=No of moles of  H2SO4  solutemass of  H2O  solvent
=0.999 mol0.002 kg
=5.0×102 mol/kg
=5.0×102 m
Therefore, the molality of the 98% H2SO4 solution is 5.0×102 m
Mass of H2SO4 solution=100g
Density of H2SO4 solution=1.83gmL
Volume of solution =100 g H2SO4×1 mL1.83 g H2SO4×1 L1000 mL
=0.999 mol
Molality=No of moles of  H2SO4  soluteVolume of solution
=0.999 mol0.0546 L
=18.3 mol/L
=18.3 M
Therefore, the molarity of H2SO4 solution is 18.3 M

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