If the cost of electricity required to discharge 10g of an ion X(^{3+}) is N20.00,…

If the cost of electricity required to discharge 10g of an ion X(^{3+}) is N20.00, how much would it cost to discharge 6g of ion Y(^{2+})?

[1 faraday = 96,500C, atomic masses are X = 27, Y = 24]
  • A.
    N10.00
  • B.
    N6.00
  • C.
    N20.00
  • D.
    N9.00
Correct Answer: Option D
Explanation

X(^{3+}) + 3e(^-) (to) X

3F = 27g

xF = 10g

(frac{x}{3} = frac{10}{27} implies x = frac{10}{9} F)

(frac{10}{9})F (equiv) N20.00

1F is equivalent to x

(frac{1}{frac{10}{9}} = frac{x}{20})

(frac{9}{10} = frac{x}{20} implies x = N18.00)

1F is equivalent to N18.00.

Y(^{2+}) + 2e(^-) (to) Y

2F = 24g

xF = 6g

x = (frac{6 times 2}{24} = frac{1}{2} F)

1F = N18.00

(frac{1}{2})F = (frac{1}{2} times N18.00)

= N9.00

There is an explanation video available below.

You May Also Like