The given equation is:
\[ 2 \mathrm{NaNO}_{3} + \_ \mathrm{PbO} \rightarrow \mathrm{Pb}\left(\mathrm{NO}_{3}\right)_{2} + \mathrm{Na}_{2} \]
To balance the equation, we need to ensure the number of atoms of each element is the same on both sides.
Balancing the lead (Pb) atoms:
\[ 2 \mathrm{NaNO}_{3} + \mathrm{PbO} \rightarrow \mathrm{Pb}\left(\mathrm{NO}_{3}\right)_{2} + \mathrm{Na}_{2} \]
Balancing the sodium (Na) atoms:
\[ 2 \mathrm{NaNO}_{3} + \mathrm{PbO} \rightarrow \mathrm{Pb}\left(\mathrm{NO}_{3}\right)_{2} + 2 \mathrm{Na} \]
Balancing the oxygen (O) atoms:
\[ 2 \mathrm{NaNO}_{3} + \mathrm{PbO} \rightarrow \mathrm{Pb}\left(\mathrm{NO}_{3}\right)_{2} + 2 \mathrm{Na} \]
The equation is now balanced.
The given equation is:
\[ \mathrm{AgI} + \_ \mathrm{Fe}_{2}\left(\mathrm{CO}_{3}\right)_{3} \rightarrow \_ \mathrm{FeI}_{3} + \_ \mathrm{Ag}_{2} \mathrm{CO}_{3} \]
Balancing the iron (Fe) atoms:
\[ 6 \mathrm{AgI} + \mathrm{Fe}_{2}\left(\mathrm{CO}_{3}\right)_{3} \rightarrow 2 \mathrm{FeI}_{3} + 3 \mathrm{Ag}_{2} \mathrm{CO}_{3} \]
Balancing the iodine (I) atoms:
\[ 6 \mathrm{AgI} + \mathrm{Fe}_{2}\left(\mathrm{CO}_{3}\right)_{3} \rightarrow 2 \mathrm{FeI}_{3} + 3 \mathrm{Ag}_{2} \mathrm{CO}_{3} \]
Balancing the silver (Ag) atoms:
\[ 6 \mathrm{AgI} + \mathrm{Fe}_{2}\left(\mathrm{CO}_{3}\right)_{3} \rightarrow 2 \mathrm{FeI}_{3} + 3 \mathrm{Ag}_{2} \mathrm{CO}_{3} \]
The equation is now balanced.
The given equation is:
\[ \mathrm{C}_{2} \mathrm{H}_{4} \mathrm{O}_{2} + \_ \mathrm{O}_{2} \rightarrow \_ \mathrm{CO}_{2} + \_ \mathrm{H}_{2} \mathrm{O} \]
Balancing the carbon (C) atoms:
\[ \mathrm{C}_{2} \mathrm{H}_{4} \mathrm{O}_{2} + \_ \mathrm{O}_{2} \rightarrow 2 \mathrm{CO}_{2} + \_ \mathrm{H}_{2} \mathrm{O} \]
Balancing the hydrogen (H) atoms:
\[ \mathrm{C}_{2} \mathrm{H}_{4} \mathrm{O}_{2} + \_ \mathrm{O}_{2} \rightarrow 2 \mathrm{CO}_{2} + 2 \mathrm{H}_{2} \mathrm{O} \]
Balancing the oxygen (O) atoms:
\[ \mathrm{C}_{2} \mathrm{H}_{4} \mathrm{O}_{2} + \mathrm{O}_{2} \rightarrow 2 \mathrm{CO}_{2} + 2 \mathrm{H}_{2} \mathrm{O} \]
The equation is now balanced.
- \(\boxed{2 \mathrm{NaNO}_{3} + \mathrm{PbO} \rightarrow \mathrm{Pb}\left(\mathrm{NO}_{3}\right)_{2} + 2 \mathrm{Na}}\)
- \(\boxed{6 \mathrm{AgI} + \mathrm{Fe}_{2}\left(\mathrm{CO}_{3}\right)_{3} \rightarrow 2 \mathrm{FeI}_{3} + 3 \mathrm{Ag}_{2} \mathrm{CO}_{3}}\)
- \(\boxed{\mathrm{C}_{2} \mathrm{H}_{4} \mathrm{O}_{2} + \mathrm{O}_{2} \rightarrow 2 \mathrm{CO}_{2} + 2 \mathrm{H}_{2} \mathrm{O}}\)