The mass of carbon anode consumed (giving only carbon dioxide) in the production of `270 kg` of aluminium metal from bauxite by the Hall process is

Options

A. `180 kg`
B. `540 kg`
C. `270 kg`
D. `90 kg`

Answer

D

Explanation

According to the balanced equation,
`2Al_(2) O_(3) + 3C rarr 4Al + 3CO_(2)`
production of 4 mol of `Al` atoms `(4xx27 g)` consumes 3 mol of `C` atoms `(3xx12g)`
Thus, `4xx27kg Al` production consumes `3xx12kg C`.
`270 kg Al` production will consume `((3xx12)/(4xx27) xx270) kg` of `C`
`= (36)/(108) xx 270kg C = 90kg C`