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A current is passed through 500mL of an ...

A current is passed through `500mL` of an aqueous solution of `CaI_(2)`. After sometime, it is observed that 50 millimoles of `I_(2)` have been formed. Which of the following statements is `(` are `)` correct ?

A

The number of faradays of charge passed through the solution is `0.10F`.

B

The volume of dry `H_(2)` at `STP` that has been formed during electrolysis is `1120mL`.

C

The `pH` of the solution is nearly `0.7`

D

The mass of calcium produced is `2.0g`.

Text Solution

Verified by Experts

The correct Answer is:
a,b

`Cal_(2)(aq): Cathode: underset(X)(Ca^(2+)) underset(sqrt())(H^(o+))`
Anode`: underset(sqrt())(I^(c-)), underset(X)(overset(c-)(O)H)`
`a.` `{:(Mmol esI_(2)=50,implies,100mF passed =0.1F,,),(,,(2I^(c-)rarrI_(2)+2e^(-)),,):}`
`b.` Also , mmoles of `H_(2)=(1)/(2)xx `number of `mF`
`=(1)/(2) xx100=50impliesV_(H_(2))` at `STP`
`50xx22.4ml-=1120mL`
`c.` `100mmol es overset(c-)(O)H` left
`implies[overset(c)(O)H]=(100)/(500)=0.2`
`impliespOH=-log 0.2=0.7`
`impliespH=13.3`
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