A solution of 4.00 ml of sf(Sn^(2+)) of unknown concentration is titrated against an acidified solution of 0.495M sf(Cr_2O_7^(2-). The mean titre is 4.94 ml. What is the concentration of the sf(Sn^(2+)) solution ?

1 Answer
Dec 17, 2016

sf(1.83color(white)(x)"mol/l")

Explanation:

Start with the two 1/2 equations:

sf(Sn^(2+)rarrSn^(4+)+2e" "color(red)((1)))

sf(Cr_2O_7^(2-)+14H^(+)+6erarr2Cr^(3+)+7H_2O" "color(red)((2)))

To get the electrons to balance we multiply sf(color(red)((1)) by 3 and add to sf(color(red)((2))rArr)

sf(Cr_2O_7^(2-)+14H^(+)+cancel(6e)+3Sn^(2+)rarr2Cr^(3+)+7H_2O+3Sn^(4+)+cancel(6e))

This tells us that 1 mole of Cr(VI) reacts with 3 moles of Sn(II).

sf(n_(Cr(VI))=cxxv=0.495xx4.94/1000=2.4453xx10^(-3))

:.sf(n_(Sn(II))=2.4453xx10^(-3)xx3=7.3359xx10^(-3))

sf(c=n/v)

:.sf([Sn^(2+)]=(7.3359xxcancel(10^(-3)))/(4.00/cancel(1000))=1.83color(white)(x)"mol/l")