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If the cost of electricity required to discharge 10g of a...

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

View answer & explanation

Correct answer is D

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

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