Battery acid is 4.22 M aqueous H₂SO₄ solution, and has density of 1.21 g cm⁻³. What is the molality of H₂SO₄? H=1, S=32, O=16 (m=5.298 mol kg⁻¹)
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This is a 4.22M solution. 1000cm³ of the solution contains 4.22 moles of H2SO4,
Molar mass of H2SO4 = 1x2 + 32 + 16x4 = 98,
Mass of H2SO4 in the solution = 4.22x98 = 413.56g.
Total mass of the solution = 1000x1.21 = 1210g,
Mass of water = 1210 - 413.56 = 796.44 g = 0.79644kg,
Molality = Moles of solute/ kg of solvent.
Hence Molality = 4.22/0.79644 = 5.3mol/kg
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