The molarity of sulfuric acid in a fully charged car battery is 5.2M. When fully discharged the molarity is?

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The molarity of sulfuric acid in a fully charged car battery is 5.2M. When fully discharged the molarity is 4.8M. A 2.00mL sample of battery acid was titrated with 31.26mL of a 0.621M sodium hydroxide solution. Does the battery need to be recharged?

1 Answer

  • H2SO4 + 2NaOH = > Na2SO4 + 2 H2O

    moles of NaOH at the eq point = .621 X 31.26 / 10000 =19.41 X 10 ^-3

    moles of H2SO$ at the eq point = .5 X19.41 X10 ^-3 = 9.7 x 10 ^-3

    these moles are in 2 Ml so the moles per liter = 9.7 x 10 ^-3 X 1000 /2

    = 4.8 M so the battery needs charging

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