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After balancing the reaction find the value of x in Pb(NO3)2+ΔPbO+xNO2+O2
(A) 4
(B) 3
(C) 5
(D) 2

Answer
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Hint: In a chemical reaction we do not change the quantity of each element which means that the number of atoms on both sides of the equation should be equal. Thus, if we try to change the scalar quantity for each molecular formula, we might get a balanced equation. So, we will use the try and hit method in this case.

Complete step-by-step solution:To find the value of x we need to first balance the equation and for that we need to check if the number of atoms on both the sides of the reaction is equal or not.

Number of atoms in reactants Number of atoms in products
Pb=1N=2O=6Pb=1N=1O=5


 Hence it is clear from the above table that the number of atoms are not equal on both side of the equation.
Now we will try to balance the equation:
Pb(NO3)2+ΔPbO+NO2+O2

Pb(NO3)2 + PbO + NO2 + O2
Pb=1×2=2N=2×2=4O=6×2=12Pb=1×2=2O=1×2=2N=1×4=4O=2×4=8O2=2

The atoms on both sides are now balanced.

We will hence place 2 before Pb(NO3)2 and PbO to balance the Pb and oxygen atoms and in last to balance the nitrogen atoms we will put 4 before NO2 .
Hence the correctly balanced equation will be: -
2Pb(NO3)2+Δ2PbO+4NO2+O2
So, the value of x will be equal to 4 .

Thus, the correct option is Option A.

Additional information: In this reaction thermal decomposition of lead nitrate is taking place when it is being heated and NO2 gas is being evolved which appears as brown fumes. This NO2 gas undergoes dimerization when it is cooled to form a stable N2O4 molecule.

Note:To balance an equation you must change the coefficients not the subscripts in the formula. You never change numbers that are already a part of the chemical reaction. Always balance polyatomic ions as a whole. Coefficients do not go in the middle of a molecule; they always must go in front of the entire molecule.