1.

Marshall's acid (H_(2)S_(2)O_(8)) or peroxodisulphuric acid is prepared by the electrolytic oxidation of mmolH_(2)SO_(4) as : 2H_(2)SO_(4) rarr H_(2)S_(2)O_(8)+2H^(o+)+2e^(-) O_(2)(g) and H_(2)(g) are obtained as byproducts. In such electrolysis 4.48L of H_(2)(g) and 1.12L or O_(2)(g) were produced at STP. The weight of H_(2)S_(2)O_(8) formed is a. 9.7g""b.19.4g""c.14.5g""d.29.1g

Answer»

Solution :`b.` Refer Section `(point h)`.
Aqueous `UNDERSET((dil or conc))(H_(2)SO_(4)) overset(El ectrolysis)rarr2H^(o+)+SO_(4)^(2-)`
At anode, two reactions are COMPETING `:`
`i. 2SO_(4)^(2-) rarr S_(2)O_(8)^(2-)+2e^(-)`
`ii. H_(2)O rarr (1)/(2)O_(2)+2H^(o+)+2e^(-)`
At cathode, only one reaction occurs `:`
`2H^(o+) (` from `H_(2)SO_(4)) +2e^(-) rarr H_(2)(g)`
SINCE onereaction at cathode and two reactions at anode are taking place, therefore, the EQUIVALENT of `H_(2)(g)` produced at cathode at cathode should be equal to the equibalent of `O_(2)(g)` produced `+` equivalent of `H_(2)S_(2)O_(8)` formed.
`:.` Equivalent of `H_(2)=`Equivalent of `O_(2)+` Equivalent of `H_(2)S_(2)O_(8)`
`(4.48)/(22.4//2)=(1.12)/(22.4//4)+(W_(H_(2)S_(2)O_(8)))/(194//2)`
`0.4=0.2+(W)/(97)`
`:. W_(H_(2)S_(2)O_(8)=19.4g`


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