`40 mL 0.05 M` solution of sodium sesquicarbonate dehydrate `(Na_(2)CO_(3).NaHCO_(3).2H_(2)O)` is titrated against `0.05 M HCl` solution, `x mL` of acid is required to reach the phenolphthalein end point while mL of same acid were required when methyl organe indicator was used in a separate titration. Which of the following is (are) correct statements?

Options

A. `y-x = 80 mL`
B. `y+x = 160 mL`
C. If the titration is started with phenolphthalein indicator and methyl orange is added at the end point, `2 x mL` of `HCl` would be required further to reach the end point
D. If the same volume of same solution is titrated against `0.10 M NaOH, x//2 mL` of base would be required

Answer

A, B, C, D