The mass of carbon anode consumed (givin g only carbondioxide) in the ...
The mass of carbon anode consumed (givin g only carbondioxide) in the ...
**Given:**
- Mass of aluminum metal produced = 270 kg
- Atomic mass of aluminum (Al) = 27
**To find:**
- Mass of carbon anode consumed
**Solution:**
The Hall process is used for the production of aluminum metal from bauxite. In this process, aluminum oxide (Al2O3) is dissolved in molten cryolite (Na3AlF6) and then electrolysis is carried out to obtain aluminum metal.
The overall reaction during the Hall process can be written as follows:
2Al2O3 + 3C -> 4Al + 3CO2
From the balanced equation, we can see that for every 4 moles of aluminum produced, 3 moles of carbon anode are consumed. We can use the molar mass of aluminum to calculate the moles of aluminum produced and then determine the moles of carbon anode consumed.
**Step 1: Calculate moles of aluminum produced:**
Molar mass of aluminum (Al) = 27 g/mol
Mass of aluminum produced = 270 kg = 270,000 g
Moles of aluminum produced = Mass of aluminum produced / Molar mass of aluminum
= 270,000 g / 27 g/mol
= 10,000 mol
**Step 2: Calculate moles of carbon anode consumed:**
From the balanced equation, we know that for every 4 moles of aluminum produced, 3 moles of carbon anode are consumed.
Moles of carbon anode consumed = (3/4) * Moles of aluminum produced
= (3/4) * 10,000 mol
= 7,500 mol
**Step 3: Convert moles of carbon anode consumed to mass:**
Molar mass of carbon (C) = 12 g/mol
Mass of carbon anode consumed = Moles of carbon anode consumed * Molar mass of carbon
= 7,500 mol * 12 g/mol
= 90,000 g
= 90 kg
Therefore, the mass of carbon anode consumed in the production of 270 kg of aluminum metal from bauxite by the Hall process is 90 kg. Hence, the correct answer is option 'C'.