A) \[180\,\,kg\]
B) \[270\,\,kg\]
C) \[540\,\,kg\]
D) \[90\,\,kg\]
Correct Answer: D
Solution :
In hall and Heroult process \[2A{{l}_{2}}{{O}_{3}}\xrightarrow{{}}4Al+3{{O}_{2}}\] \[4C+3{{O}_{2}}\xrightarrow{{}}2C{{O}_{2}}+2CO\uparrow \] Only for removal of\[C{{O}_{2}}\], following equation is possible \[2A{{l}_{2}}{{O}_{3}}+\underset{3\times 12=96}{\mathop{3C}}\,\xrightarrow{{}}\underset{4\times 27=108}{\mathop{4Al}}\,+3C{{O}_{2}}\] For \[108\,\,kg\] of\[Al\],\[36\,\,g\] of \[C\] is required in above reaction \[\therefore \]For \[270\,\,kg\] of \[Al\] require amount of\[C\] \[=\frac{36}{108}\times 270=90\,\,kg\]
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