1.

1.0 g NaHSO_3 and Na_2SO_3 was dissolved in water to prepare a 200 mL solution. Two separate experiments were carried out. (a). 25 " mL of " sample was mixed with 25 " mL of " I_2 solution and excess of I_2 left after the reaction with NaHSO_3 and Na_2SO_3 was back titrated with 0.1002 N Na_2S_2O_3, 1.34 " mL of " which was required (25 " mL of " I_2 solution is equivalent to 24.20" mL of " Na_2S_2O_3 solution). (b). 50 " mL of " sample was oxidised to Na_2SO_4 by the action of H_2O_2,H_2SO_4 sormed (from NaHSO_3) was titrated with 22.3 " mL of " 0.1 N NaOH. Find percentage of NaHSO_3 and Na_2SO_3 in the original sample.

Answer»

Solution :1 G mixture is present in 200 mL
(a). 25 " mL of " mixture]
`impliesmEq` of `NaHSO_3+mEq` of `Na_2SO_3=mEq` of ` I_2`
Used
`mEq` of ` I_2` used`=24.20-1.34xx(0.1002)/(25)mL`
`=22.905`
m" Eq of "`I_2` in 200 mL`=(200)/(25)xx22.905=18.32`
(b). 50 mL is oxidised to `Na_2SO_4`
`H_2SO_4` formed by `NaHSO_3-=22.3mL` of `0.1` N `NaOH`
`mEq` of `NaHSO_3=22.3xx0.1=(2.23)/(25)mL`
`mEq` of ` NaHSO_2 i n 200mL=2.23xx(200)/(50)=8.92`
`[{:("Ew of "NaHSO_(3)" in experiment"," "),((i)=(Mw)/(2)," "),(underset(x=4)underset(1+x-6=-1)(HSO_(3)^(ɵ)),tounderset(x=6)underset(x-8=-2)(SO_(4)^(2-)(x=2))):}]`
`[{:("Ew of "NaHSO_(3) " in experiment"," "),((ii)=(Mw)/(1)," "),(HSO_(3)^(ɵ),toH^(o+)+SO_(3)^(2-)):}]`
M" Eq of "`Na_(2)SO_(3)` in the original solution
`=18.32-2xx8.92=0.48`
Weight of `Na_2SO_3=8.92mEqxx(1)/(1000)xxEw of "NaHSO_(3)`
`["Ew of "NaHSO_(3)=(Mw)/(1)=104]`
`=(8.92)/(1000)xx104=0.92`
`therefore%` of `NaHSO_(3)=(0.927)/(1)xx100=92.7%`
[EQUIVALENT weight of `Na_(2)SO_(3)=(Mw)/(2)=(126)/(2)=63]`
Weight of `Na_(2)SO_(3)=0.48mEqxx(1)/(1000)xx63=0.3g`
`%` of `Na_(2)SO_(3)=(0.3)/(1)xx100=3%`
`NaHSO_(3)=92.7%""Na_(2)SO_(3)=3%`


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