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Balance the following chemical equations:

(1) NaOH + Cl2→ NaCl + H2O + NaOCl

(2) NaOH + Cl2→ NaClO3 + NaCl + H2O

(3) Cu + HNO3→ Cu(NO3)2 + NO2 + H2O

(4) Cu + HNO3→Cu(NO3)2 + NO + H2

(5) Zn + HNO3→ Zn(NO3)2 + H2O + N2O

(6) KMnO4 + SO2 + H2O→ K2SO4+ MnSO4 + H2SO4

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(1) NaOH + Cl2→ NaCl + H2O + NaOCl

Here, Let us first balance, Na’ on both sides, then we get an equation.

2NaOH + Cl2→ NaCl + H2O + NaOCl 

This is the balanced chemical equation.

(2) NaOH + Cl2→ NaClO3 + NaCl + H2O

Here, on balancing ‘O’ on both sides, by inserting 6 before NaOH, and 3 before, H2O on R.H.S., we get, 

6NaOH + Cl2→ NaClO+ NaCl+ 3H2O

Now, on balancing ‘Cl’ finally, as ‘H’ is balanced on both sides, by inserting 3 before Cl2 in L.H.S. and 5 before NaCl in R.H.S., we get:

6NaOH + 3CL→ NaClO3 + 5NaCl + 3H2O

It has all the atoms of the elements, balanced on both sides. This is a balanced chemical equation.

(3) Cu + HNO3→ Cu(NO3)2 + NO2 + H2O

Let us first balance, ‘H’ and ‘O’ on both sides of the equation by inserting ‘4’ before HNOa in L.H.S. ‘2’ before NO2 and 4 before H2O in R.H.S., we get: 

Cu + 4HNO3→Cu(NO3)2 + 2NO2+ 2H2O)

(4) Cu + HNO3→Cu(NO3)2 + NO + H2

Let us first balance, ‘H’ and ‘O’ on both sides of the equation, by inserting ‘8’ before HNO3 in L.H.S.; 3 before Cu(NOs)2; 2 before NO and 4 before H2O in R.H.S., respectively, we get:”

Cu + 8HNO3→ 3Cu(NO3)2 + 2NO+ 4H2O

Now, to balance ‘Cu’ on both sides, insert ‘3’ before Cu in L.H.S., we get:

3 Cu + 8HNO3→3Cu(NO3)2 + 2NO + 4H2O

(5) Zn + HNO3→ Zn(NO3)2 + H2O + N2O

Let us first balance, ‘H’ and ‘O’ on both sides of the equation by inserting 2 before ‘KMnO4’ in L.H.S., before HNO3 in L.H.S. and 4 before Zn(NO3)2 and 5 before ‘H2O’ in R.H.S. respectively, we get,

4Zn + 10HNO3→ 4Zn(NO3)2 + N2O+ 5H2O

(6) KMnO4 + SO2 + H2O→ K2SO4+ MnSO4 + H2SO4

This equation can be balanced by first balancing ‘O’ and ‘H’ atoms and then ‘K’ and ‘Mn’ atoms, respectively. Similarly as in previous equations, to get the balanced equation as: 

2KMnO4 + 5SO2 + 2H2O→ K2SO4 +2MnSO4 + 2H2SO

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