how do i balance SO3 + H2O = H2SO4

It is already balanced.

1:1

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To balance the equation SO3 + H2O = H2SO4, follow these steps:

Step 1: Count the number of atoms on each side of the equation.

On the left side:
Sulfur (S): 1
Oxygen (O): 3

On the right side:
Hydrogen (H): 2
Sulfur (S): 1
Oxygen (O): 4

Step 2: Balance the atoms one by one.

Start with the element that appears in the fewest compounds, which in this case is sulfur (S).

Add a coefficient in front of the SO3 on the left side to balance the number of sulfur atoms:
SO3 + H2O = H2SO4

Now, sulfur is balanced with 1 atom on each side.

Step 3: Balance oxygen (O) atoms.

Count the number of oxygen atoms on each side:
On the left side: 3
On the right side: 4

To balance the oxygen atoms, add a coefficient in front of H2O on the left side:
SO3 + 2H2O = H2SO4

Now, oxygen atoms are balanced with 3 on each side.

Step 4: Balance hydrogen (H) atoms.

Count the number of hydrogen atoms on each side:
On the left side: 4
On the right side: 2

To balance the hydrogen atoms, add another coefficient in front of H2O on the left side:
SO3 + 3H2O = H2SO4

Now, hydrogen atoms are balanced with 4 on each side.

Step 5: Check the overall balance.

Count the numbers of each element atom again to ensure everything is balanced:
On the left side: 1 S, 3 O, 9 H
On the right side: 1 S, 4 O, 4 H

Both sides have the same number of atoms for each element, and the equation is now balanced.

The balanced equation is:
SO3 + 3H2O = H2SO4