Question

Balance this chemical equation using algebraic method ( A value is 2 ) ( please include procedure) Cr(NO2)2 + (NH4)2SO4 = CrSO4 + NH4NO2

Answer 1

In order to properly balance an equation, we need to make sure that the same amount of elements on the reactants side matches the number of elements on the products side, we can do that by increasing the number in front of each molecule, the so called stoichiometric coefficient. In the reaction from the question we can properly balance by adding the following stoichiometric coefficients

Cr(NO2)2 + (NH4)2SO4 -> CrSO4 + 2 NH4NO2

Using the algebraic method we have:

Cr: 1a = 1c

N: 2a + 2b = 2d

O: 4a + 4b = 4c + 2d

H: 8a = 4d

S: 1b = 1c

If a = 1

Cr 1*1 = 1c, therefore c also = 1

H: 8*1 = 4d

8 = 4d

d = 2

N: 2*1 + 2b = 2*2

2 + 2b = 4

2b = 2

b = 1

Therefore

a = 1

b = 1

c = 1

d = 2

Exactly what we found