Question

Given the information below, determine the cost of making a 16.0 g aluminum can from scratch.

Domestic electricity cost about 8.75 cents/kwh
One mole of electrons = 96,500 Coulombs
1 kwh = 3.60 x 10⁶ Coulombs
Al^O >> Al³⁺ + 3 electrons

Answer 1

m = 16 g of aluminium

The balanced reaction:

AlO won't existe, it is short for aluminium oxide, th eformula:

Al2O3 --> 2Al3+ + O2(g)

2Al3+ + 6e- --> 2Al(s)

then

for 1 mol of Al(s) = 3 mol of e-

mol of Al required = 16/26.98 =0.593 mol of Al

now..

mol of e- required = mol of Al * 3 mol of e- = 0.593 *3 = 1.779 mol of e-

1 mol of e- = 96500 C

1.779 mol of e - = 1.779*96500 = 171673.5 C = 0.171673 *10^6 C

1 kwh = 3.6*10^6 C

x = 171673.5 C

x = 171673.5/(3.6*10^6 ) = 0.04768 kwh required

1 kwh = 8.75 cents

0.04768 khw = 8.75*0.04768 = 0.4172 cents required