The molarity of sulfuric acid in a fully charged car battery is 5.2 M. When fully discharged, the molarity is 4.8 M. A 2.00 ml sample of battery acid has titrated with 31.26 ml of 0.621 M sodium hydroxide solution. Does the battery need to be recharged?
H2SO4 + 2NaOH => Na2SO4 + 2 H2O
moles of NaOH at eq point = 0.621 X 31.26 / 10000 = 19.41 X 10^-3
moles of H2SO$ at the eq point = 0.5 X19.41 X10 ^-3 = 9.7 x 10 ^-3
these moles are in 2 ml, so moles per liter = 9.7 x 10^-3 x 1000 /2
= 4.8M so the battery needs to be charged