Input interpretation
KVO_3 potassium metavanadate ⟶ KVO_3 potassium metavanadate
Balanced equation
Balance the chemical equation algebraically: KVO_3 ⟶ KVO_3 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 KVO_3 ⟶ c_2 KVO_3 Set the number of atoms in the reactants equal to the number of atoms in the products for K, O and V: K: | c_1 = c_2 O: | 3 c_1 = 3 c_2 V: | c_1 = c_2 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_1 = 1 and solve the system of equations for the remaining coefficients: c_1 = 1 c_2 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | KVO_3 ⟶ KVO_3
Structures
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Names
potassium metavanadate ⟶ potassium metavanadate
Equilibrium constant
Construct the equilibrium constant, K, expression for: KVO_3 ⟶ KVO_3 Plan: • Balance the chemical equation. • Determine the stoichiometric numbers. • Assemble the activity expression for each chemical species. • Use the activity expressions to build the equilibrium constant expression. Write the balanced chemical equation: KVO_3 ⟶ KVO_3 Assign stoichiometric numbers, ν_i, using the stoichiometric coefficients, c_i, from the balanced chemical equation in the following manner: ν_i = -c_i for reactants and ν_i = c_i for products: chemical species | c_i | ν_i KVO_3 | 1 | -1 KVO_3 | 1 | 1 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression KVO_3 | 1 | -1 | ([KVO3])^(-1) KVO_3 | 1 | 1 | [KVO3] The equilibrium constant symbol in the concentration basis is: K_c Mulitply the activity expressions to arrive at the K_c expression: Answer: | | K_c = ([KVO3])^(-1) [KVO3] = ([KVO3])/([KVO3])
Rate of reaction
Construct the rate of reaction expression for: KVO_3 ⟶ KVO_3 Plan: • Balance the chemical equation. • Determine the stoichiometric numbers. • Assemble the rate term for each chemical species. • Write the rate of reaction expression. Write the balanced chemical equation: KVO_3 ⟶ KVO_3 Assign stoichiometric numbers, ν_i, using the stoichiometric coefficients, c_i, from the balanced chemical equation in the following manner: ν_i = -c_i for reactants and ν_i = c_i for products: chemical species | c_i | ν_i KVO_3 | 1 | -1 KVO_3 | 1 | 1 The rate term for each chemical species, B_i, is 1/ν_i(Δ[B_i])/(Δt) where [B_i] is the amount concentration and t is time: chemical species | c_i | ν_i | rate term KVO_3 | 1 | -1 | -(Δ[KVO3])/(Δt) KVO_3 | 1 | 1 | (Δ[KVO3])/(Δt) (for infinitesimal rate of change, replace Δ with d) Set the rate terms equal to each other to arrive at the rate expression: Answer: | | rate = -(Δ[KVO3])/(Δt) = (Δ[KVO3])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Chemical names and formulas
| potassium metavanadate | potassium metavanadate formula | KVO_3 | KVO_3 Hill formula | KO_3V | KO_3V name | potassium metavanadate | potassium metavanadate IUPAC name | potassium oxido-dioxovanadium | potassium oxido-dioxovanadium
Substance properties
| potassium metavanadate | potassium metavanadate molar mass | 138.04 g/mol | 138.04 g/mol phase | solid (at STP) | solid (at STP) melting point | 520 °C | 520 °C density | 2.84 g/cm^3 | 2.84 g/cm^3
Units