Battery acid is 4.22 M aqueous solution h2so4 solution and has density of 1.21 g cm-3 . What is molality of h2so4?

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Solution

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

∴ Molality = 4.22/0.79644 = 5.3mol/kg

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