Question #ef585

1 Answer
Feb 12, 2016

Answer:

#(3). 10%#

Explanation:

The relationship between the 1/2 cell potential and concentration for dilute solutions is given by:

#E=E^(@)+(RT)/(nF)xx2.303log([["oxidised"]]/[["reduced"]])#

Where #n# is the number of moles of electrons transferred which, in this case = 1.

For the #"Ag"^+"/Ag"# 1/2 cell this becomes:

#E=E^@+(RT)/(F)xx2.303log[Ag^+]#

Putting in the values #rArr#

#0.62=(+0.8)+0.06log[Ag^+]#

#:.log[Ag^+]=-0.18/0.06=-3.0#

From which:

#[Ag^+]=0.001"mol/l"#

To find the number of moles #n# we know that:

#c=n/v#

#:.n=cxxv=0.001xx100/1000=0.0001#

To convert this to grams #m_(Ag)# we multiply by the mass of 1 mole of silver:

#A_r[Ag]=108#

#:. m_(Ag)=0.0001xx108=0.0108"g"#

So the percentage by mass of silver in the alloy is given by:

#%"Ag"=(0.0108)/(0.108)xx100=10#

So the answer is #(3)#.