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Write a balanced chemical equation for process of photosynthesis.

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Photosynthesis reaction: CO2 + H2O → C6H12O6 + O2 + H2

Balanced equation: 6CO2 + 12H2O → C6H12O6 + 6O2 + 6H2

Step 1: Write the unbalanced equation 

CO2 + H2O → C6H12O6 + O2 + H2

Step 2: Compare the number of atoms of reactants with the number of atoms of products. 

Reactants (left side) Products (right side)
Element Number of atoms Number of stoms
C 1 6
H 2 14
O 3 9

Step 3: Now, first we consider the element having unequal no. of atoms on both sides. Thus, first let us consider carbon atom. If we multiply 6 in the reactant (in CO2), we will get the equal number of atoms as in product (in C6H12O6)

No. of atoms of carbon Reactant (in CO2) Product (in C6H12O6)
Initiallly 1 6
To balance 1 x 6 = 6 6

Step 4: Write the resulting equation:

6CO2 + H2O → C6H12O6 + O2 + H2

Step 5: Now check whether the equation is balanced or not by comparing the atoms

Reactants (left side) Products (right side)
Element Number of atoms Number of stoms
C 6 6
H 2 14
O 3 9
We find that the equation is not balanced yet. As the number of 
Hydrogen and oxygen atoms are unequal on the two sides. 
First balance the hydrogen atom. 
Step 6: If we multiply 12 in the reactant (in H2O) and 6 in the product (in H2O), we will get the equal number of hydrogen atoms both sides.
No. of atoms of hydrogen Reactant (in H2O) Product (in C6H12O+ H2O)
Initiallly 2 14
To balance 2 x 12 = 24 12 + 2 x 6 = 24
Step 7: Write the resulting equation: 
6CO2 + 12H2O → C6H12O6 + O2 + 6H2
Step 8: Now check whether the equation is balanced or not by comparing the atoms.
Reactants (left side) Product (right side)
Element Number of atoms Number of atoms
C 6 6
H 24 24
O 24 14

We find that the equation is not balanced yet. As the number of oxygen atoms are unequal on the two sides. 

Step 9: Now, we consider oxygen atoms. If we multiply 6 in the product (in O2), we will get the equal number of atoms as in reactants (in 6CO2 and 12H2O)

No. of atoms of oxygen Reactant (in 6CO2 and 12H2O) Product (in C6H12O+ O2 + 6H2O)
Initiallly 24 24
To balance 24 6 + 2 x 6 + 6 = 24
Step 10: Write the resulting equation: 
6CO2 + 12H2O → C6H12O6 + 6O2 + 6H2
We find that the equation is balanced now. 
Step 11: Write down the final balanced equation:
6CO2 + 12H2O → C6H12O6 + 6O2 + 6H2O

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