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

Answer

D

Explanation

`3C+ 2Al_(2)O_(3) rarr 4Al+ 3CO_(2)`
4 moles of A `-=` 3 moles of C
`10^(4)` moles of `Al -= (3)/(4) xx 10^(4)` moles of C(270kg `=10^(4)` moles)
Mass of Carbon `=(3)/(4) xx 10^(4) xx 12g = 90kg`