balance equation by only ABCD METHOD ..DONT USE HIT AND TRIAL METHOD
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Explanation:
Given -
- S + HNO3 → H2SO4 + NO2 + H2O
To Find -
- Balance it
- → a S + b HNO3 → c H2SO4 + d NO2 + e H2O
→ S :- a = c ..... (i)
- Here, In product side there is one S and also in reactant side there is one S. So, here we write the cofficient of S atoms. In reactant side, cofficient of S is a and in product side cofficent of S is c (In product side S is present in H2SO4)
N :- b = d ..... (ii)
- Here, In product side there is one N and also in reactant side there is one N. So, here we write the cofficient of N atoms. In reactant side, cofficient of N is b and in product side cofficent of N is d (In product side N is present in NO2 and in reactant side N is present in HNO3)
O :- 3b = 4c + 2d + e ...... (iii)
- Here, In product side there is four O in H2SO4, two O in NO2 and one O in H2O and also in reactant side there is three O. So, here we write the cofficient of O atoms. In reactant side, cofficient of O is 3b and in product side cofficent of O is 4c + 2d + e (In product side O is present in H2SO4, NO2 and H2O and in reactant side oxygen is present in HNO3)
H :- b = 2c + 2e .... (iv)
- Here, In product side there is two H in H2SO4 and two H in H2O and also in reactant side there is one H. So, here we write the cofficient of H atoms. In reactant side, cofficient of H is b and in product side cofficent of H is 2c + 2e (In product side H is present in H2SO4 and H2O and in reactant side H is present in HNO3)
Let a = 1
Then, c = 1 (bcoz a = c)
It is cleared that b = d and a = c
Then,
→ 3b = 4c + 2d + e
→ 3d - 2d = 4a + e
d = 4a + e ..... (v)
And
→ b = 2c + 2e
→ d = 2a + 2e ..... (vi)
Now, From solving (v) and (vi), we get :
By Elimination method :-
→ [ d = 4a + e ] × 2
[ d = 2a + 2e ]
→ 2d = 8a + 2e
d = 2a + 2e
(-) (-) (-)
_____________
→ d = 6a
→ d = 6 × 1
d = 6
Now,
→ d = 2a + 2e
→ 6 = 2×1 + 2e
→ 4 = 2e
e = 2
Hence,
a = 1
b = 6 (bcoz b = d)
c = 1 (bcoz a = c)
d = 6
e = 2
And
The balanced chemical equation :-
- 1S + 6HNO3 + 1H2SO4 + 6NO2 + 2H2O
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