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?
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