HNO3 + K = H2O + KNO3 + NH4NO3

HNO_3 nitric acid + K potassium ⟶ H_2O water + KNO_3 potassium nitrate + NH_4NO_3 ammonium nitrate

Balance the chemical equation algebraically: HNO_3 + K ⟶ H_2O + KNO_3 + NH_4NO_3 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 HNO_3 + c_2 K ⟶ c_3 H_2O + c_4 KNO_3 + c_5 NH_4NO_3 Set the number of atoms in the reactants equal to the number of atoms in the products for H, N, O and K: H: | c_1 = 2 c_3 + 4 c_5 N: | c_1 = c_4 + 2 c_5 O: | 3 c_1 = c_3 + 3 c_4 + 3 c_5 K: | c_2 = c_4 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_5 = 1 and solve the system of equations for the remaining coefficients: c_1 = 10 c_2 = 8 c_3 = 3 c_4 = 8 c_5 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 10 HNO_3 + 8 K ⟶ 3 H_2O + 8 KNO_3 + NH_4NO_3

+ ⟶ + +

nitric acid + potassium ⟶ water + potassium nitrate + ammonium nitrate

K_c = ([H2O]^3 [KNO3]^8 [NH4NO3])/([HNO3]^10 [K]^8)

rate = -1/10 (Δ[HNO3])/(Δt) = -1/8 (Δ[K])/(Δt) = 1/3 (Δ[H2O])/(Δt) = 1/8 (Δ[KNO3])/(Δt) = (Δ[NH4NO3])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)

| nitric acid | potassium | water | potassium nitrate | ammonium nitrate formula | HNO_3 | K | H_2O | KNO_3 | NH_4NO_3 Hill formula | HNO_3 | K | H_2O | KNO_3 | H_4N_2O_3 name | nitric acid | potassium | water | potassium nitrate | ammonium nitrate

| nitric acid | potassium | water | potassium nitrate | ammonium nitrate molar mass | 63.012 g/mol | 39.0983 g/mol | 18.015 g/mol | 101.1 g/mol | 80.04 g/mol phase | liquid (at STP) | solid (at STP) | liquid (at STP) | solid (at STP) | solid (at STP) melting point | -41.6 °C | 64 °C | 0 °C | 334 °C | 169 °C boiling point | 83 °C | 760 °C | 99.9839 °C | | 210 °C density | 1.5129 g/cm^3 | 0.86 g/cm^3 | 1 g/cm^3 | | 1.73 g/cm^3 solubility in water | miscible | reacts | | soluble | surface tension | | | 0.0728 N/m | | dynamic viscosity | 7.6×10^-4 Pa s (at 25 °C) | | 8.9×10^-4 Pa s (at 25 °C) | | odor | | | odorless | odorless | odorless