12.6 g of impure Na₂CO₃ is treated with 500 ml of 0.5 M HCl for complete reaction. The remaining HCl is back titrated by adding 100 ml of 0.5 M NaOH. Calculate the percentage purity of Na₂CO₃.
a) 60%
b) 70%
c) 80%
d) 90%