A) 180 kg
B) 270 kg
C) 540 kg
D) 90 kg
Correct Answer: D
Solution :
In Hall and Heroult process \[2A{{l}_{2}}{{O}_{3}}\xrightarrow{{}}4Al+3{{O}_{2}}\] \[4C+3{{O}_{2}}\xrightarrow{{}}2C{{O}_{2}}+2CO\uparrow \] \[2A{{l}_{2}}{{O}_{3}}+4C\xrightarrow{{}}4Al+2C{{O}_{2}}+2CO\] Only for removal of \[C{{O}_{2}},\] following equation is possible \[2A{{l}_{2}}{{O}_{3}}\,\,\,\,+\underset{3\,\,\times \,\,12\,\,=\,\,36}{\mathop{3C}}\,\xrightarrow{{}}\underset{4\,\,\times \,\,27\,\,=\,\,108}{\mathop{4Al}}\,+\,\,\,3\,C{{O}_{2}}\] \[\because \] For 108 g of Al, 36 g of C is required in above reaction \[\therefore \] For 270 g of Al require amount of C \[=\frac{36}{108}\times 270=90\,g\]
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