which of the following is the correct chemical equation for the combustion of methane (ch₄)?
a co₂ + 2h₂o → ch₄ + 2o₂
b ch₄ + 2o₂ → co₂ + 2h₂o
c co₂ + h₂o → ch₄ + o₂
d ch₄ + o₂ → co₂ + h₂o

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# Brief Explanations:
Combustion reactions involve a substance reacting with oxygen. For methane ($CH_4$), during combustion, it reacts with $O_2$ to produce $CO_2$ and $H_2O$. We need to check the balance of atoms.
- In option a: The direction is wrong (products and reactants are reversed).
- In option b:
    - **Carbon ($C$)**: 1 atom on both sides ($1$ in $CH_4$ and $1$ in $CO_2$).
    - **Hydrogen ($H$)**: $4$ atoms in $CH_4$ ($2\times2 = 4$ in $2H_2O$).
    - **Oxygen ($O$)**: $2\times2=4$ atoms in $2O_2$ ($2$ in $CO_2$ and $2\times1 = 2$ in $2H_2O$, total $2 + 2=4$).
- In option c: The direction is wrong (products and reactants are reversed).
- In option d:
    - **Oxygen ($O$)**: $2$ atoms in $O_2$ ($2$ in $CO_2$ and $1$ in $H_2O$, total $2+1 = 3$) is not balanced.

# Answer:
B. $CH_4 + 2O_2
ightarrow CO_2 + 2H_2O$

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