Alright, let's carefully analyze each given chemical equation to determine if it is correctly balanced:
A. [tex]\( \text{NaClO}_3 \rightarrow \text{NaCl} + 3 \text{O}_2 \)[/tex]
- Left side: [tex]\( \text{Na} = 1 \)[/tex], [tex]\( \text{Cl} = 1 \)[/tex], [tex]\( \text{O} = 3 \)[/tex]
- Right side: [tex]\( \text{Na} = 1 \)[/tex], [tex]\( \text{Cl} = 1 \)[/tex], [tex]\( \text{O} = 6 \)[/tex]
- This equation is not balanced because the number of oxygen atoms is not the same on both sides.
B. [tex]\( 2 \text{HgO} \rightarrow 2 \text{Hg} + \text{O}_2 \)[/tex]
- Left side: [tex]\( \text{Hg} = 2 \)[/tex], [tex]\( \text{O} = 2 \)[/tex]
- Right side: [tex]\( \text{Hg} = 2 \)[/tex], [tex]\( \text{O} = 2 \)[/tex]
- This equation is balanced because the number of each type of atom is the same on both sides.
C. [tex]\( 27 \text{n} 5 + \text{O}_2 + 27 \text{n} 0 + 250_2 \)[/tex]
- This notation appears to be incorrect or incorrectly typed and does not represent a valid chemical equation.
D. [tex]\( 4 \text{CO} + \text{Fe}_3 \text{O}_4 \rightarrow 4 \text{CO}_2 + \text{Fe} \)[/tex]
- Left side: [tex]\( \text{C} = 4 \)[/tex], [tex]\( \text{O} = 8 \)[/tex], [tex]\( \text{Fe} = 3 \)[/tex]
- Right side: [tex]\( \text{C} = 4 \)[/tex], [tex]\( \text{O} = 8 \)[/tex], [tex]\( \text{Fe} = 1 \)[/tex]
- This equation is not balanced because the number of iron atoms is not the same on both sides.
E. [tex]\( 2 \text{Fe} _4 + 2 \text{Cl} _2 + 2 \text{FeCl} _3 \)[/tex]
- This notation also appears to be incorrectly typed and does not represent a valid chemical equation.
Based on these analyses, the correct and balanced equation is:
B. [tex]\( 2 \text{HgO} \rightarrow 2 \text{Hg} + \text{O}_2 \)[/tex]
