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C + Ag2SeO3 = CO2 + Ag2Se

Input interpretation

C activated charcoal + O_3Se_1Ag_2 silver(I) selenite ⟶ CO_2 carbon dioxide + Ag_2Se silver selenide
C activated charcoal + O_3Se_1Ag_2 silver(I) selenite ⟶ CO_2 carbon dioxide + Ag_2Se silver selenide

Balanced equation

Balance the chemical equation algebraically: C + O_3Se_1Ag_2 ⟶ CO_2 + Ag_2Se Add stoichiometric coefficients, c_i, to the reactants and products: c_1 C + c_2 O_3Se_1Ag_2 ⟶ c_3 CO_2 + c_4 Ag_2Se Set the number of atoms in the reactants equal to the number of atoms in the products for C, Ag, O and Se: C: | c_1 = c_3 Ag: | 2 c_2 = 2 c_4 O: | 3 c_2 = 2 c_3 Se: | 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_2 = 1 and solve the system of equations for the remaining coefficients: c_1 = 3/2 c_2 = 1 c_3 = 3/2 c_4 = 1 Multiply by the least common denominator, 2, to eliminate fractional coefficients: c_1 = 3 c_2 = 2 c_3 = 3 c_4 = 2 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 3 C + 2 O_3Se_1Ag_2 ⟶ 3 CO_2 + 2 Ag_2Se
Balance the chemical equation algebraically: C + O_3Se_1Ag_2 ⟶ CO_2 + Ag_2Se Add stoichiometric coefficients, c_i, to the reactants and products: c_1 C + c_2 O_3Se_1Ag_2 ⟶ c_3 CO_2 + c_4 Ag_2Se Set the number of atoms in the reactants equal to the number of atoms in the products for C, Ag, O and Se: C: | c_1 = c_3 Ag: | 2 c_2 = 2 c_4 O: | 3 c_2 = 2 c_3 Se: | 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_2 = 1 and solve the system of equations for the remaining coefficients: c_1 = 3/2 c_2 = 1 c_3 = 3/2 c_4 = 1 Multiply by the least common denominator, 2, to eliminate fractional coefficients: c_1 = 3 c_2 = 2 c_3 = 3 c_4 = 2 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 3 C + 2 O_3Se_1Ag_2 ⟶ 3 CO_2 + 2 Ag_2Se

Structures

+ ⟶ +
+ ⟶ +

Names

activated charcoal + silver(I) selenite ⟶ carbon dioxide + silver selenide
activated charcoal + silver(I) selenite ⟶ carbon dioxide + silver selenide

Equilibrium constant

Construct the equilibrium constant, K, expression for: C + O_3Se_1Ag_2 ⟶ CO_2 + Ag_2Se 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: 3 C + 2 O_3Se_1Ag_2 ⟶ 3 CO_2 + 2 Ag_2Se 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 C | 3 | -3 O_3Se_1Ag_2 | 2 | -2 CO_2 | 3 | 3 Ag_2Se | 2 | 2 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression C | 3 | -3 | ([C])^(-3) O_3Se_1Ag_2 | 2 | -2 | ([O3Se1Ag2])^(-2) CO_2 | 3 | 3 | ([CO2])^3 Ag_2Se | 2 | 2 | ([Ag2Se])^2 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 = ([C])^(-3) ([O3Se1Ag2])^(-2) ([CO2])^3 ([Ag2Se])^2 = (([CO2])^3 ([Ag2Se])^2)/(([C])^3 ([O3Se1Ag2])^2)
Construct the equilibrium constant, K, expression for: C + O_3Se_1Ag_2 ⟶ CO_2 + Ag_2Se 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: 3 C + 2 O_3Se_1Ag_2 ⟶ 3 CO_2 + 2 Ag_2Se 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 C | 3 | -3 O_3Se_1Ag_2 | 2 | -2 CO_2 | 3 | 3 Ag_2Se | 2 | 2 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression C | 3 | -3 | ([C])^(-3) O_3Se_1Ag_2 | 2 | -2 | ([O3Se1Ag2])^(-2) CO_2 | 3 | 3 | ([CO2])^3 Ag_2Se | 2 | 2 | ([Ag2Se])^2 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 = ([C])^(-3) ([O3Se1Ag2])^(-2) ([CO2])^3 ([Ag2Se])^2 = (([CO2])^3 ([Ag2Se])^2)/(([C])^3 ([O3Se1Ag2])^2)

Rate of reaction

Construct the rate of reaction expression for: C + O_3Se_1Ag_2 ⟶ CO_2 + Ag_2Se 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: 3 C + 2 O_3Se_1Ag_2 ⟶ 3 CO_2 + 2 Ag_2Se 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 C | 3 | -3 O_3Se_1Ag_2 | 2 | -2 CO_2 | 3 | 3 Ag_2Se | 2 | 2 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 C | 3 | -3 | -1/3 (Δ[C])/(Δt) O_3Se_1Ag_2 | 2 | -2 | -1/2 (Δ[O3Se1Ag2])/(Δt) CO_2 | 3 | 3 | 1/3 (Δ[CO2])/(Δt) Ag_2Se | 2 | 2 | 1/2 (Δ[Ag2Se])/(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 = -1/3 (Δ[C])/(Δt) = -1/2 (Δ[O3Se1Ag2])/(Δt) = 1/3 (Δ[CO2])/(Δt) = 1/2 (Δ[Ag2Se])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Construct the rate of reaction expression for: C + O_3Se_1Ag_2 ⟶ CO_2 + Ag_2Se 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: 3 C + 2 O_3Se_1Ag_2 ⟶ 3 CO_2 + 2 Ag_2Se 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 C | 3 | -3 O_3Se_1Ag_2 | 2 | -2 CO_2 | 3 | 3 Ag_2Se | 2 | 2 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 C | 3 | -3 | -1/3 (Δ[C])/(Δt) O_3Se_1Ag_2 | 2 | -2 | -1/2 (Δ[O3Se1Ag2])/(Δt) CO_2 | 3 | 3 | 1/3 (Δ[CO2])/(Δt) Ag_2Se | 2 | 2 | 1/2 (Δ[Ag2Se])/(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 = -1/3 (Δ[C])/(Δt) = -1/2 (Δ[O3Se1Ag2])/(Δt) = 1/3 (Δ[CO2])/(Δt) = 1/2 (Δ[Ag2Se])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)

Chemical names and formulas

| activated charcoal | silver(I) selenite | carbon dioxide | silver selenide formula | C | O_3Se_1Ag_2 | CO_2 | Ag_2Se Hill formula | C | Ag_2O_3Se | CO_2 | Ag_2Se name | activated charcoal | silver(I) selenite | carbon dioxide | silver selenide IUPAC name | carbon | disilver selenite | carbon dioxide | selenium; silver
| activated charcoal | silver(I) selenite | carbon dioxide | silver selenide formula | C | O_3Se_1Ag_2 | CO_2 | Ag_2Se Hill formula | C | Ag_2O_3Se | CO_2 | Ag_2Se name | activated charcoal | silver(I) selenite | carbon dioxide | silver selenide IUPAC name | carbon | disilver selenite | carbon dioxide | selenium; silver

Substance properties

| activated charcoal | silver(I) selenite | carbon dioxide | silver selenide molar mass | 12.011 g/mol | 342.7 g/mol | 44.009 g/mol | 294.707 g/mol phase | solid (at STP) | | gas (at STP) | solid (at STP) melting point | 3550 °C | | -56.56 °C (at triple point) | 896.85 °C boiling point | 4027 °C | | -78.5 °C (at sublimation point) | density | 2.26 g/cm^3 | | 0.00184212 g/cm^3 (at 20 °C) | 8.22 g/cm^3 solubility in water | insoluble | | | insoluble dynamic viscosity | | | 1.491×10^-5 Pa s (at 25 °C) | odor | | | odorless |
| activated charcoal | silver(I) selenite | carbon dioxide | silver selenide molar mass | 12.011 g/mol | 342.7 g/mol | 44.009 g/mol | 294.707 g/mol phase | solid (at STP) | | gas (at STP) | solid (at STP) melting point | 3550 °C | | -56.56 °C (at triple point) | 896.85 °C boiling point | 4027 °C | | -78.5 °C (at sublimation point) | density | 2.26 g/cm^3 | | 0.00184212 g/cm^3 (at 20 °C) | 8.22 g/cm^3 solubility in water | insoluble | | | insoluble dynamic viscosity | | | 1.491×10^-5 Pa s (at 25 °C) | odor | | | odorless |

Units

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