J.R. S. answered 08/24/21
Ph.D. University Professor with 10+ years Tutoring Experience
ammonium nitrate (aq) ==> dinitrogen monoxide (g) + water (l)
....NH4NO3(aq) ===> ............ N2O(g) ...........+ ...............H2O(l) ... unbalanced equation
Looking at nitrogen (N), there are 2 N on each side of the equation, so that is balanced.
Looking at hydrogen (H), there are 4 H on the left but only 2 H on the right. Put a 2 in front of H2O
NH4NO3(aq) ===> N2O(g) + 2H2O(l) and now the H is balaned.
Looking at oxygen (O), there are 3 O on the left and 3 O on the right, so it it balanced.
So now every element (N, H, O) is balanced and that is the balanced equation:
NH4NO3(aq) ===> N2O(g) + 2H2O(l) ... balanced equation
Now, using the mole ratios of the balanced equation and dimensional analysis, we compute the following:
31.2 g NH4NO3 x 1 mol NH4NO3 / 80.0 g x 1 mol N2O / 1 mol NH4NO3 x 44.0 g N2O/ mol N2O = 17.2 g N2O