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H2SeO3 + CsOH = H2O + CsH5(SeO3)3

Input interpretation

H_2SeO_3 selenious acid + CsOH cesium hydroxide ⟶ H_2O water + CsH5(SeO3)3
H_2SeO_3 selenious acid + CsOH cesium hydroxide ⟶ H_2O water + CsH5(SeO3)3

Balanced equation

Balance the chemical equation algebraically: H_2SeO_3 + CsOH ⟶ H_2O + CsH5(SeO3)3 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 H_2SeO_3 + c_2 CsOH ⟶ c_3 H_2O + c_4 CsH5(SeO3)3 Set the number of atoms in the reactants equal to the number of atoms in the products for H, O, Se and Cs: H: | 2 c_1 + c_2 = 2 c_3 + 5 c_4 O: | 3 c_1 + c_2 = c_3 + 9 c_4 Se: | c_1 = 3 c_4 Cs: | 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 c_2 = 1 c_3 = 1 c_4 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 3 H_2SeO_3 + CsOH ⟶ H_2O + CsH5(SeO3)3
Balance the chemical equation algebraically: H_2SeO_3 + CsOH ⟶ H_2O + CsH5(SeO3)3 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 H_2SeO_3 + c_2 CsOH ⟶ c_3 H_2O + c_4 CsH5(SeO3)3 Set the number of atoms in the reactants equal to the number of atoms in the products for H, O, Se and Cs: H: | 2 c_1 + c_2 = 2 c_3 + 5 c_4 O: | 3 c_1 + c_2 = c_3 + 9 c_4 Se: | c_1 = 3 c_4 Cs: | 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 c_2 = 1 c_3 = 1 c_4 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 3 H_2SeO_3 + CsOH ⟶ H_2O + CsH5(SeO3)3

Structures

+ ⟶ + CsH5(SeO3)3
+ ⟶ + CsH5(SeO3)3

Names

selenious acid + cesium hydroxide ⟶ water + CsH5(SeO3)3
selenious acid + cesium hydroxide ⟶ water + CsH5(SeO3)3

Equilibrium constant

Construct the equilibrium constant, K, expression for: H_2SeO_3 + CsOH ⟶ H_2O + CsH5(SeO3)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: 3 H_2SeO_3 + CsOH ⟶ H_2O + CsH5(SeO3)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 H_2SeO_3 | 3 | -3 CsOH | 1 | -1 H_2O | 1 | 1 CsH5(SeO3)3 | 1 | 1 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression H_2SeO_3 | 3 | -3 | ([H2SeO3])^(-3) CsOH | 1 | -1 | ([CsHO])^(-1) H_2O | 1 | 1 | [H2O] CsH5(SeO3)3 | 1 | 1 | [CsH5(SeO3)3] 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 = ([H2SeO3])^(-3) ([CsHO])^(-1) [H2O] [CsH5(SeO3)3] = ([H2O] [CsH5(SeO3)3])/(([H2SeO3])^3 [CsHO])
Construct the equilibrium constant, K, expression for: H_2SeO_3 + CsOH ⟶ H_2O + CsH5(SeO3)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: 3 H_2SeO_3 + CsOH ⟶ H_2O + CsH5(SeO3)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 H_2SeO_3 | 3 | -3 CsOH | 1 | -1 H_2O | 1 | 1 CsH5(SeO3)3 | 1 | 1 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression H_2SeO_3 | 3 | -3 | ([H2SeO3])^(-3) CsOH | 1 | -1 | ([CsHO])^(-1) H_2O | 1 | 1 | [H2O] CsH5(SeO3)3 | 1 | 1 | [CsH5(SeO3)3] 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 = ([H2SeO3])^(-3) ([CsHO])^(-1) [H2O] [CsH5(SeO3)3] = ([H2O] [CsH5(SeO3)3])/(([H2SeO3])^3 [CsHO])

Rate of reaction

Construct the rate of reaction expression for: H_2SeO_3 + CsOH ⟶ H_2O + CsH5(SeO3)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: 3 H_2SeO_3 + CsOH ⟶ H_2O + CsH5(SeO3)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 H_2SeO_3 | 3 | -3 CsOH | 1 | -1 H_2O | 1 | 1 CsH5(SeO3)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 H_2SeO_3 | 3 | -3 | -1/3 (Δ[H2SeO3])/(Δt) CsOH | 1 | -1 | -(Δ[CsHO])/(Δt) H_2O | 1 | 1 | (Δ[H2O])/(Δt) CsH5(SeO3)3 | 1 | 1 | (Δ[CsH5(SeO3)3])/(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[H2SeO3])/(Δt) = -(Δ[CsHO])/(Δt) = (Δ[H2O])/(Δt) = (Δ[CsH5(SeO3)3])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Construct the rate of reaction expression for: H_2SeO_3 + CsOH ⟶ H_2O + CsH5(SeO3)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: 3 H_2SeO_3 + CsOH ⟶ H_2O + CsH5(SeO3)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 H_2SeO_3 | 3 | -3 CsOH | 1 | -1 H_2O | 1 | 1 CsH5(SeO3)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 H_2SeO_3 | 3 | -3 | -1/3 (Δ[H2SeO3])/(Δt) CsOH | 1 | -1 | -(Δ[CsHO])/(Δt) H_2O | 1 | 1 | (Δ[H2O])/(Δt) CsH5(SeO3)3 | 1 | 1 | (Δ[CsH5(SeO3)3])/(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[H2SeO3])/(Δt) = -(Δ[CsHO])/(Δt) = (Δ[H2O])/(Δt) = (Δ[CsH5(SeO3)3])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)

Chemical names and formulas

| selenious acid | cesium hydroxide | water | CsH5(SeO3)3 formula | H_2SeO_3 | CsOH | H_2O | CsH5(SeO3)3 Hill formula | H_2O_3Se | CsHO | H_2O | H5CsO9Se3 name | selenious acid | cesium hydroxide | water | IUPAC name | selenous acid | cesium;hydroxide | water |
| selenious acid | cesium hydroxide | water | CsH5(SeO3)3 formula | H_2SeO_3 | CsOH | H_2O | CsH5(SeO3)3 Hill formula | H_2O_3Se | CsHO | H_2O | H5CsO9Se3 name | selenious acid | cesium hydroxide | water | IUPAC name | selenous acid | cesium;hydroxide | water |

Substance properties

| selenious acid | cesium hydroxide | water | CsH5(SeO3)3 molar mass | 128.98 g/mol | 149.912 g/mol | 18.015 g/mol | 518.85 g/mol phase | solid (at STP) | solid (at STP) | liquid (at STP) | melting point | 70 °C | 338.85 °C | 0 °C | boiling point | 315 °C | | 99.9839 °C | density | 3.004 g/cm^3 | 1.72 g/cm^3 | 1 g/cm^3 | surface tension | | | 0.0728 N/m | dynamic viscosity | | | 8.9×10^-4 Pa s (at 25 °C) | odor | | | odorless |
| selenious acid | cesium hydroxide | water | CsH5(SeO3)3 molar mass | 128.98 g/mol | 149.912 g/mol | 18.015 g/mol | 518.85 g/mol phase | solid (at STP) | solid (at STP) | liquid (at STP) | melting point | 70 °C | 338.85 °C | 0 °C | boiling point | 315 °C | | 99.9839 °C | density | 3.004 g/cm^3 | 1.72 g/cm^3 | 1 g/cm^3 | surface tension | | | 0.0728 N/m | dynamic viscosity | | | 8.9×10^-4 Pa s (at 25 °C) | odor | | | odorless |

Units

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