Input interpretation
ammonia + chromium trioxide ⟶ water + nitrogen + chromium(III) oxide
Balanced equation
Balance the chemical equation algebraically: + ⟶ + + Add stoichiometric coefficients, c_i, to the reactants and products: c_1 + c_2 ⟶ c_3 + c_4 + c_5 Set the number of atoms in the reactants equal to the number of atoms in the products for H, N, Cr and O: H: | 3 c_1 = 2 c_3 N: | c_1 = 2 c_4 Cr: | c_2 = 2 c_5 O: | 3 c_2 = c_3 + 3 c_5 Since the coefficients are relative quantities and underdetermined, choose a coefficient to set arbitrarily. To keep the coefficients small, the arbitrary value is ordinarily one. For instance, set c_4 = 1 and solve the system of equations for the remaining coefficients: c_1 = 2 c_2 = 2 c_3 = 3 c_4 = 1 c_5 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 2 + 2 ⟶ 3 + +
Structures
+ ⟶ + +
Names
ammonia + chromium trioxide ⟶ water + nitrogen + chromium(III) oxide
Reaction thermodynamics
Gibbs free energy
| ammonia | chromium trioxide | water | nitrogen | chromium(III) oxide molecular free energy | -16.4 kJ/mol | -502 kJ/mol | -237.1 kJ/mol | 0 kJ/mol | -1058 kJ/mol total free energy | -32.8 kJ/mol | -1004 kJ/mol | -711.3 kJ/mol | 0 kJ/mol | -1058 kJ/mol | G_initial = -1037 kJ/mol | | G_final = -1769 kJ/mol | | ΔG_rxn^0 | -1769 kJ/mol - -1037 kJ/mol = -732.6 kJ/mol (exergonic) | | | |
Entropy
| ammonia | chromium trioxide | water | nitrogen | chromium(III) oxide molecular entropy | 193 J/(mol K) | 72 J/(mol K) | 69.91 J/(mol K) | 192 J/(mol K) | 81 J/(mol K) total entropy | 386 J/(mol K) | 144 J/(mol K) | 209.7 J/(mol K) | 192 J/(mol K) | 81 J/(mol K) | S_initial = 530 J/(mol K) | | S_final = 482.7 J/(mol K) | | ΔS_rxn^0 | 482.7 J/(mol K) - 530 J/(mol K) = -47.27 J/(mol K) (exoentropic) | | | |
Chemical names and formulas
| ammonia | chromium trioxide | water | nitrogen | chromium(III) oxide Hill formula | H_3N | CrO_3 | H_2O | N_2 | Cr_2O_3 name | ammonia | chromium trioxide | water | nitrogen | chromium(III) oxide IUPAC name | ammonia | trioxochromium | water | molecular nitrogen |