Could someone help me with this question? in particular part c
A) this is quite straightforward, a simple Q/F= n.e- . Q = Amps x time (seconds). 180000A x (1 hour x 60 minutes x 60 seconds) is equal to 6.5 x 10
8. 6.5x10
8 /96500 (charge of one mole electrons) gives an answer of 6.7X10
3 moles of electrons. The half equation is Al
3+ + 3e- --> Al. For every 3 mole of electrons, one mole of aluminium is produced. 6.7X10
3/3 = 2.2X10
3 moles of aluminium produced. To find the mass of aluminium, multiple moles by molecular weight; 2.2X10
3 x 27.0g/mol = 6.0X10
4 grams aluminium produced in 1 hour
B) this involves working backwards. 10.0 kilograms is equal to 10.0X10
3 grams of aluminium. First we need to find the moles of aluminium. This is simply n=m/M 10000grams/27.0g/mol, giving us 370 moles of aluminium. The next step is to find the moles of electrons required. Looking at the half-equation again Al
3+ + 3e- --> Al we can see that for every one mole of aluminium produced we require 3 moles of electrons. moles Al x 3 (370x3) yields 1.11x10
3 moles of electrons. 1.11x10
3F x 96500 will give us Q. Q is equal to 1.07x10
8. Q being a product of Current x time and us knowing the current allows us to rearrange the equation to be Q/current = time (seconds). 1.07x10
8/180000A = 596 seconds
C is a bit difficult, as it requires you to have a bit of knowledge about aluminium production. Aluminium is refined from the ground as Al2O3 and heated until it is molten. In the electrolytic cell, sacrificial carbon anodes are used, which produce carbon dioxide as the cell operates. The redox equation for the cell is 2Al2O3 + 3C --> 3CO2 + 2Al. We need to determine the volume of CO2 at SLC (24.5L/mole) produced for the entire day (24 hours). The first step will be to determine the amount of CO2 produced. We know how many moles of aluminium is produced in 1 hour, multiplying by 24 will gives us the total for the day. 2.2X10
3 * 24 = 5.4X10
4 moles of aluminium produced. Using stoichiometry we can see that for every 2 moles of aluminium produced 3 moles of CO2 is produced. 3/2* 5.4X10
4 yields 8.1X10
4 moles of CO2. The formula V(L)/24.5L/mol=n tells us that one mole of CO2 at SLC will occupy 24.5L. We can rearrange it to be n x 24.5L/mol = VCO2. 8.1X10
4mol x 24.5L/Mol = 1.97X10
6 litres of CO2 produced in one day.
n.b Throughout the calculations I gave rounded off answers but I used the actual numbers in the calculations, including that for part C. (transferring moles of aluminium from A). There may be a mistake somewhere, tomorrow I will redo the calculations and see.