Question

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 was titrated with 31.26 ml of a 0.621 m sodium hydroxide solution. does the battery need to be recharged? document your answer.

Answer 1

Since the molarity of the acid is 4.8 M, it is discharged and it needs to be recharged.

The equation of the reaction is;

H2SO4(aq) + 2NaOH(aq) --------> Na2SO4(aq) + 2H2O(l)

From the question we know that;

Concentration of base (CB) = 0.621 M

Volume of base (VB) = 31.26 ml

Volume of acid (VA) = 2.00 ml

Concentration of acid (CA) = ?

From the reaction equation;

Number of moles of acid (NA) = 1

Number of moles of base (NB) = 2

Using the titration formula;

CAVA/CBVB = NA/NB

CAVANB = CBVBNA

CA = CBVBNA/VANB

CA =  0.621 M × 31.26 ml × 1/2.00 ml × 2

CA = 4.8 M

Since the molarity of the acid is 4.8 M, it is discharged and it needs to be recharged.

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