One gram of silver gets distributed between `"10 cm"^(3)` of molten zinc and `"100 cm"^(3)` of molten lead of `800^(@)C`. The percentage of silver in the zinc layer is approximately

Options

A. 2
B. 5
C. 3
D. 1

Answer

C

Explanation

The partition coefficient of Ag in molten Zn and Pb will be 300.
Partition coeff. `("conc. of Ag in molten Zn")/("Conc. Of Ag on molten Pb")`
Mass of Ag in lead at equilibrium =1-x
Mass of Ag in zinc at equilibrium=x
`300=(x//10)/((1-x)//100)=(10x)/(1-x)implies10x=300-300x`
`implies310=300impliesx(300)/(310)=(30)/(31)`
Amount of silver in molten lead
`=1-x=1-(30)/(31)=(1)/(31)`
`therefore` Percentage of silver `=(1)/(31)xx100~~3%`