1.

Estimatethe mass ofcopper metalproducedduringthepassage of5 AcurrentthroughCuSO_(4) solutionfor 100minutes.Themolarmass of Cu is63.5 g mol^(-1)

Answer»


Solution :Given :Electriccurrent =I = A
Time = t = 100 min= 100 `xx 60 s= 6000 s `
MOLARMASS ofCu =Atomicmass ofCu =63.5g `mol^(-1)`
MASS ofcu deposited= ?
Reduction halfreactionat cathode .
`Cu_((AG))^(++)+ 2e^(-)to Cu_((s))`
Quantityof electricity`= Q=I xx t = 5 xx6000 =3000 C`
Numberof molesof electrons PASSED`= (Q)/(F ) `
`= (3000)/(96500)"mol"`
` C "mol"^(-1)`
`= 0.3109 "mol"`
Fromthe halfreductionreaction1 molof Cu isformedby thepassageof 2 molesof electrons.
Molarratioof Cu `= ("Molarof Cuformed" )/("Number ofmolesof electron" ) `
`= (1 " mol " ) /(2" mol " ) =0.5 `
Numberof molesof Cuformed
= Numberof molesof electrons passed`xx ` Moleratio
`= 0.3109xx 0.5= 0.1554` mol
Mass ofCuformed= Molesof Cuformed`xx`MolarMass of Cu
`= 0.1554 xx 63.5 = 9.87 g`


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