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QUESTION

What is the balanced equation of Zn+Pb(NO3)2---Pb+Zn(NO3)2?

The balanced equation is "Zn" + "Pb"("NO"_3)_2 → "Pb" + "Zn"("NO"_3)_2

You follow a systematic procedure to balance the equation.

"Zn" + "Pb(NO"_3)_2 → "Pb" + "Zn(NO"_3)_2

A method that often works is to balance everything other than "O" and "H" first, then balance "O", and finally balance "H".

Another useful procedure is to start with what looks like the most complicated formula.

The most complicated formula looks like "Pb(NO"_3)_2 or "Zn(NO"_3)_2.

Let's choose "Pb(NO"_3)_2. We put a 1 in front of it to remind ourselves that the coefficient is now fixed.

"Zn" + color(red)(1) "Pb(NO"_3)_2 → "Pb" + "Zn(NO"_3)_2

Balance "Pb":

We have fixed 1 "Pb" on the left, so we need 1 "Pb" on the right. We put a 1 in front of the "Pb".

"Zn" + color(red)(1) "Pb(NO"_3)_2 → color(green)(1) "Pb" + "Zn(NO"_3)_2

Balance "N":

We have fixed 2 "N" on the left, so we need 2 "N" on the right. We put a 1 in front of the "Zn(NO"_3)_2.

"Zn" + color(red)(1) "Pb(NO"_3)_2 → color(green)(1) "Pb" + color(orange)(1) "Zn(NO"_3)_2

Balance "Zn":

We have fixed 1 "Zn" atom on the right so we need 1 "Zn" atom on the left. We put a 1 in front of the "Zn".

color(blue)(1)"Zn" + color(red)(1) "Pb(NO"_3)_2 → color(green)(1) "Pb" + color(orange)(1) "Zn(NO"_3)_2

Every formula now has a fixed coefficient. We should have a balanced equation.

Let’s check:

"Element"color(white)(m)"Left-hand side"color(white)(m)"Right-hand side" color(white)(ml)"Zn"color(white)(mmmmmll)1color(white)(mmmmmmmll)1 color(white)(ml)"Pb"color(white)(mmmmmll)1color(white)(mmmmmmmll)1 color(white)(ml)"N"color(white)(mmmmmml)2color(white)(mmmmmmmll)2 color(white)(ml)"O"color(white)(mmmmmml)6color(white)(mmmmmmmll)6

All atoms balance. The balanced equation is

color(red)("Zn" + "Pb"("NO"_3)_2 → "Pb" + "Zn"("NO"_3)_2

Surprise! The original equation was already balanced.