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. 200100
B. 100200
C. 300200
D. 200300

Answer

A

Explanation

Methyl orange indicator indicates complete ionisation of HCl but first step ioonisation of
`(H_(2)SO_(3)toH^(o+)+HSO_(3)^(ɵ)(n=1)(N=Mxx1)`
First case:
`Ba(OH)_(2)-=HCl`
`N_(1)V_(1)=N_(2)V_(2)`
`0.1xx2xx100-=x xx0.1xx1`
`x=200mL`
Second case:
`Ba(OH)_(2)-=H_(2)SO_(3)`
`N_(1)V_(1)=N_(2)V_(2)`
`(0.1xx2)xx100=0.2xx1xxy`
`x=200mL` `y=100mL`