Final answer:
To balance the equation CaO + C → CaC₂+CO₂, you can add a coefficient of 2 in front of CaC₂ to balance the carbon atoms, resulting in 2CaO₂ + 6C → 2CaC₂ + 2CO₂.
Step-by-step explanation:
To balance the equation CaO + C → CaC₂+CO₂, we need to ensure that the number of atoms of each element on both sides of the equation is the same. Let's start by balancing the carbon (C) atoms. On the left side, we have 1 C atom, and on the right side, we have 2 C atoms in CaC₂. To balance the carbon atoms, we can add a coefficient of 2 in front of CaC₂, resulting in the equation:
CaO + 2C → CaC₂ + CO₂
Next, let's balance the calcium (Ca) atoms. On the left side, we have 1 Ca atom, and on the right side, we have 1 Ca atom in CaC₂. The equation is now balanced.
The balanced equation is: CaO + 2C → CaC₂ + CO₂. Therefore, the correct answer is option b) 2CaO₂ + 6C → 2CaC₂ + 2CO₂.