Input interpretation
![NaOH sodium hydroxide + Se gray selenium ⟶ H_2O water + Na_2SeO_3 sodium selenite + Na_2Se sodium selenide](../image_source/a98d28cdb54daa57e60a4cfcd4909f09.png)
NaOH sodium hydroxide + Se gray selenium ⟶ H_2O water + Na_2SeO_3 sodium selenite + Na_2Se sodium selenide
Balanced equation
![Balance the chemical equation algebraically: NaOH + Se ⟶ H_2O + Na_2SeO_3 + Na_2Se Add stoichiometric coefficients, c_i, to the reactants and products: c_1 NaOH + c_2 Se ⟶ c_3 H_2O + c_4 Na_2SeO_3 + c_5 Na_2Se Set the number of atoms in the reactants equal to the number of atoms in the products for H, Na, O and Se: H: | c_1 = 2 c_3 Na: | c_1 = 2 c_4 + 2 c_5 O: | c_1 = c_3 + 3 c_4 Se: | c_2 = c_4 + 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 = 6 c_2 = 3 c_3 = 3 c_4 = 1 c_5 = 2 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 6 NaOH + 3 Se ⟶ 3 H_2O + Na_2SeO_3 + 2 Na_2Se](../image_source/f1397769023fc5f74816685d753207ee.png)
Balance the chemical equation algebraically: NaOH + Se ⟶ H_2O + Na_2SeO_3 + Na_2Se Add stoichiometric coefficients, c_i, to the reactants and products: c_1 NaOH + c_2 Se ⟶ c_3 H_2O + c_4 Na_2SeO_3 + c_5 Na_2Se Set the number of atoms in the reactants equal to the number of atoms in the products for H, Na, O and Se: H: | c_1 = 2 c_3 Na: | c_1 = 2 c_4 + 2 c_5 O: | c_1 = c_3 + 3 c_4 Se: | c_2 = c_4 + 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 = 6 c_2 = 3 c_3 = 3 c_4 = 1 c_5 = 2 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 6 NaOH + 3 Se ⟶ 3 H_2O + Na_2SeO_3 + 2 Na_2Se
Structures
![+ ⟶ + +](../image_source/8c685ef112a3831048cf1464212d9bb7.png)
+ ⟶ + +
Names
![sodium hydroxide + gray selenium ⟶ water + sodium selenite + sodium selenide](../image_source/9e517b8d1e4f349dbc3d73148765acd9.png)
sodium hydroxide + gray selenium ⟶ water + sodium selenite + sodium selenide
Equilibrium constant
![Construct the equilibrium constant, K, expression for: NaOH + Se ⟶ H_2O + Na_2SeO_3 + Na_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: 6 NaOH + 3 Se ⟶ 3 H_2O + Na_2SeO_3 + 2 Na_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 NaOH | 6 | -6 Se | 3 | -3 H_2O | 3 | 3 Na_2SeO_3 | 1 | 1 Na_2Se | 2 | 2 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression NaOH | 6 | -6 | ([NaOH])^(-6) Se | 3 | -3 | ([Se])^(-3) H_2O | 3 | 3 | ([H2O])^3 Na_2SeO_3 | 1 | 1 | [Na2SeO3] Na_2Se | 2 | 2 | ([Na2Se])^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 = ([NaOH])^(-6) ([Se])^(-3) ([H2O])^3 [Na2SeO3] ([Na2Se])^2 = (([H2O])^3 [Na2SeO3] ([Na2Se])^2)/(([NaOH])^6 ([Se])^3)](../image_source/87dc28f320e3999659d3719e5e07455b.png)
Construct the equilibrium constant, K, expression for: NaOH + Se ⟶ H_2O + Na_2SeO_3 + Na_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: 6 NaOH + 3 Se ⟶ 3 H_2O + Na_2SeO_3 + 2 Na_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 NaOH | 6 | -6 Se | 3 | -3 H_2O | 3 | 3 Na_2SeO_3 | 1 | 1 Na_2Se | 2 | 2 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression NaOH | 6 | -6 | ([NaOH])^(-6) Se | 3 | -3 | ([Se])^(-3) H_2O | 3 | 3 | ([H2O])^3 Na_2SeO_3 | 1 | 1 | [Na2SeO3] Na_2Se | 2 | 2 | ([Na2Se])^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 = ([NaOH])^(-6) ([Se])^(-3) ([H2O])^3 [Na2SeO3] ([Na2Se])^2 = (([H2O])^3 [Na2SeO3] ([Na2Se])^2)/(([NaOH])^6 ([Se])^3)
Rate of reaction
![Construct the rate of reaction expression for: NaOH + Se ⟶ H_2O + Na_2SeO_3 + Na_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: 6 NaOH + 3 Se ⟶ 3 H_2O + Na_2SeO_3 + 2 Na_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 NaOH | 6 | -6 Se | 3 | -3 H_2O | 3 | 3 Na_2SeO_3 | 1 | 1 Na_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 NaOH | 6 | -6 | -1/6 (Δ[NaOH])/(Δt) Se | 3 | -3 | -1/3 (Δ[Se])/(Δt) H_2O | 3 | 3 | 1/3 (Δ[H2O])/(Δt) Na_2SeO_3 | 1 | 1 | (Δ[Na2SeO3])/(Δt) Na_2Se | 2 | 2 | 1/2 (Δ[Na2Se])/(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 = -1/6 (Δ[NaOH])/(Δt) = -1/3 (Δ[Se])/(Δt) = 1/3 (Δ[H2O])/(Δt) = (Δ[Na2SeO3])/(Δt) = 1/2 (Δ[Na2Se])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)](../image_source/4eca74b7e91cfe76b804f037e1bc3927.png)
Construct the rate of reaction expression for: NaOH + Se ⟶ H_2O + Na_2SeO_3 + Na_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: 6 NaOH + 3 Se ⟶ 3 H_2O + Na_2SeO_3 + 2 Na_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 NaOH | 6 | -6 Se | 3 | -3 H_2O | 3 | 3 Na_2SeO_3 | 1 | 1 Na_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 NaOH | 6 | -6 | -1/6 (Δ[NaOH])/(Δt) Se | 3 | -3 | -1/3 (Δ[Se])/(Δt) H_2O | 3 | 3 | 1/3 (Δ[H2O])/(Δt) Na_2SeO_3 | 1 | 1 | (Δ[Na2SeO3])/(Δt) Na_2Se | 2 | 2 | 1/2 (Δ[Na2Se])/(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 = -1/6 (Δ[NaOH])/(Δt) = -1/3 (Δ[Se])/(Δt) = 1/3 (Δ[H2O])/(Δt) = (Δ[Na2SeO3])/(Δt) = 1/2 (Δ[Na2Se])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Chemical names and formulas
![| sodium hydroxide | gray selenium | water | sodium selenite | sodium selenide formula | NaOH | Se | H_2O | Na_2SeO_3 | Na_2Se Hill formula | HNaO | Se | H_2O | Na_2O_3Se | Na_2Se name | sodium hydroxide | gray selenium | water | sodium selenite | sodium selenide IUPAC name | sodium hydroxide | selenium | water | | disodium selenium(-2) anion](../image_source/3f63b5d159a405e72a1ae0c0d9ff7af7.png)
| sodium hydroxide | gray selenium | water | sodium selenite | sodium selenide formula | NaOH | Se | H_2O | Na_2SeO_3 | Na_2Se Hill formula | HNaO | Se | H_2O | Na_2O_3Se | Na_2Se name | sodium hydroxide | gray selenium | water | sodium selenite | sodium selenide IUPAC name | sodium hydroxide | selenium | water | | disodium selenium(-2) anion
Substance properties
![| sodium hydroxide | gray selenium | water | sodium selenite | sodium selenide molar mass | 39.997 g/mol | 78.971 g/mol | 18.015 g/mol | 172.95 g/mol | 124.95 g/mol phase | solid (at STP) | solid (at STP) | liquid (at STP) | solid (at STP) | solid (at STP) melting point | 323 °C | 217 °C | 0 °C | 350 °C | 875 °C boiling point | 1390 °C | 684.9 °C | 99.9839 °C | | density | 2.13 g/cm^3 | 4.81 g/cm^3 | 1 g/cm^3 | | 2.625 g/cm^3 solubility in water | soluble | insoluble | | | surface tension | 0.07435 N/m | 0.1055 N/m | 0.0728 N/m | | dynamic viscosity | 0.004 Pa s (at 350 °C) | 0.221 Pa s (at 220 °C) | 8.9×10^-4 Pa s (at 25 °C) | | odor | | | odorless | |](../image_source/1edfd3f3902f4febd4baf7bad9be22ce.png)
| sodium hydroxide | gray selenium | water | sodium selenite | sodium selenide molar mass | 39.997 g/mol | 78.971 g/mol | 18.015 g/mol | 172.95 g/mol | 124.95 g/mol phase | solid (at STP) | solid (at STP) | liquid (at STP) | solid (at STP) | solid (at STP) melting point | 323 °C | 217 °C | 0 °C | 350 °C | 875 °C boiling point | 1390 °C | 684.9 °C | 99.9839 °C | | density | 2.13 g/cm^3 | 4.81 g/cm^3 | 1 g/cm^3 | | 2.625 g/cm^3 solubility in water | soluble | insoluble | | | surface tension | 0.07435 N/m | 0.1055 N/m | 0.0728 N/m | | dynamic viscosity | 0.004 Pa s (at 350 °C) | 0.221 Pa s (at 220 °C) | 8.9×10^-4 Pa s (at 25 °C) | | odor | | | odorless | |
Units