When 100 " mL of " 0.1 M `Ba(OH)_(2)` is neutralised with a mixture of x " mL of " 0.1 M HCl and y " mL of " 0.2 M `H_(2)SO_(3)` using methyl orange indicator what is value of x and y?

Options

A. 200, 100
B. 100200
C. 300200
D. 200300

Answer

A

Explanation

Methyl orange indicator indicates complete ionisation of HCI but first step ionisation of
`(H_(2)SO_(3) rarr H^(+) +HSO_(3)^(-) (n=1) (N=M xx1))`
First case: `Ba(OH)_(2) -= HCl , N_(1)V_(1) = N_(2)V_(2)`
`0.1 xx 2 xx 100 -= x xx 0.1 xx 1, x = 200ml`
Second case: `Ba(OH)_(2) -= H_(2)SO_(3), N_(1)V_(1) = N_(2)V_(2)`
`(0.1 xx 2) xx 100 = 0.2 xx 1 xx y`
`x = 200mL y = 100mL`