A mixutre solution of KOH and `Na_2CO_3` requires 15 " mL of " `(N)/(20)` HCl when titrated with phenolphthalein as indicator.But the same amoound of the solutions when titrated with methyl orange as indicator requires 25 " mL of " the same acid. Calculate the amount of KOH and `Na_2CO_3` present in the solution.

Options

A. 0.014 g
B. 0.14 g
C. 0.028 g
D. 1.4 g

Answer

A

Explanation

(a). `underset((x mmol))(KOH)+underset((y mmol))(Na_(2)CO_(3)`
(i). `(x xx1)+(yxx2)xx(1)/(2)=(1)/(20)xx15`
(ii). (x xx1)+(yxx2)=(1)/(20)xx25impliesy=0.5` and `x=0.25`
`impliesKOH-=x` mmoles `=0.25xx10^(-3)xx56g=0.014g`