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 (Atomic mass: `Al=27`):

Options

A. (a)`90 kg`
B. (b)`540 kg`
C. (c )`270 kg`
D. (d)`180 kg`

Answer

A

Explanation

`2Al_(2)O_(3)+3C rarr Al+3CO_(2)`
Gram equivalent of `Al_(2)O_(3)`-= Gram equivalent of `C`.
Now equivalent weight of `Al=27/3=9`
Equivalent weight of `C=12/4=3(overset(0)(C) rarroverset(+4)(CO_(2)))`
no. of gram equivalent of `Al=(270xx10^(3))/9=30xx10^(3)`
Hence,
No. of gram equivalent of `C=30xx10^(3)`
Again,
No. of gram equivalent of C
`=("mass in gram")/("gram equivalent weight")`
`implies 30xx10^(3)=("mass")/3`
`implies mass=90xx10^(3) g=90 kg`