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NaClO3 + NaHS = NaOH + S + NaCl

Input interpretation

NaClO_3 sodium chlorate + NaHS sodium bisulfide ⟶ NaOH sodium hydroxide + S mixed sulfur + NaCl sodium chloride
NaClO_3 sodium chlorate + NaHS sodium bisulfide ⟶ NaOH sodium hydroxide + S mixed sulfur + NaCl sodium chloride

Balanced equation

Balance the chemical equation algebraically: NaClO_3 + NaHS ⟶ NaOH + S + NaCl Add stoichiometric coefficients, c_i, to the reactants and products: c_1 NaClO_3 + c_2 NaHS ⟶ c_3 NaOH + c_4 S + c_5 NaCl Set the number of atoms in the reactants equal to the number of atoms in the products for Cl, Na, O, H and S: Cl: | c_1 = c_5 Na: | c_1 + c_2 = c_3 + c_5 O: | 3 c_1 = c_3 H: | c_2 = c_3 S: | 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_1 = 1 and solve the system of equations for the remaining coefficients: c_1 = 1 c_2 = 3 c_3 = 3 c_4 = 3 c_5 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | NaClO_3 + 3 NaHS ⟶ 3 NaOH + 3 S + NaCl
Balance the chemical equation algebraically: NaClO_3 + NaHS ⟶ NaOH + S + NaCl Add stoichiometric coefficients, c_i, to the reactants and products: c_1 NaClO_3 + c_2 NaHS ⟶ c_3 NaOH + c_4 S + c_5 NaCl Set the number of atoms in the reactants equal to the number of atoms in the products for Cl, Na, O, H and S: Cl: | c_1 = c_5 Na: | c_1 + c_2 = c_3 + c_5 O: | 3 c_1 = c_3 H: | c_2 = c_3 S: | 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_1 = 1 and solve the system of equations for the remaining coefficients: c_1 = 1 c_2 = 3 c_3 = 3 c_4 = 3 c_5 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | NaClO_3 + 3 NaHS ⟶ 3 NaOH + 3 S + NaCl

Structures

+ ⟶ + +
+ ⟶ + +

Names

sodium chlorate + sodium bisulfide ⟶ sodium hydroxide + mixed sulfur + sodium chloride
sodium chlorate + sodium bisulfide ⟶ sodium hydroxide + mixed sulfur + sodium chloride

Equilibrium constant

Construct the equilibrium constant, K, expression for: NaClO_3 + NaHS ⟶ NaOH + S + NaCl 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: NaClO_3 + 3 NaHS ⟶ 3 NaOH + 3 S + NaCl 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 NaClO_3 | 1 | -1 NaHS | 3 | -3 NaOH | 3 | 3 S | 3 | 3 NaCl | 1 | 1 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression NaClO_3 | 1 | -1 | ([NaClO3])^(-1) NaHS | 3 | -3 | ([NaHS])^(-3) NaOH | 3 | 3 | ([NaOH])^3 S | 3 | 3 | ([S])^3 NaCl | 1 | 1 | [NaCl] 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 = ([NaClO3])^(-1) ([NaHS])^(-3) ([NaOH])^3 ([S])^3 [NaCl] = (([NaOH])^3 ([S])^3 [NaCl])/([NaClO3] ([NaHS])^3)
Construct the equilibrium constant, K, expression for: NaClO_3 + NaHS ⟶ NaOH + S + NaCl 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: NaClO_3 + 3 NaHS ⟶ 3 NaOH + 3 S + NaCl 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 NaClO_3 | 1 | -1 NaHS | 3 | -3 NaOH | 3 | 3 S | 3 | 3 NaCl | 1 | 1 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression NaClO_3 | 1 | -1 | ([NaClO3])^(-1) NaHS | 3 | -3 | ([NaHS])^(-3) NaOH | 3 | 3 | ([NaOH])^3 S | 3 | 3 | ([S])^3 NaCl | 1 | 1 | [NaCl] 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 = ([NaClO3])^(-1) ([NaHS])^(-3) ([NaOH])^3 ([S])^3 [NaCl] = (([NaOH])^3 ([S])^3 [NaCl])/([NaClO3] ([NaHS])^3)

Rate of reaction

Construct the rate of reaction expression for: NaClO_3 + NaHS ⟶ NaOH + S + NaCl 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: NaClO_3 + 3 NaHS ⟶ 3 NaOH + 3 S + NaCl 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 NaClO_3 | 1 | -1 NaHS | 3 | -3 NaOH | 3 | 3 S | 3 | 3 NaCl | 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 NaClO_3 | 1 | -1 | -(Δ[NaClO3])/(Δt) NaHS | 3 | -3 | -1/3 (Δ[NaHS])/(Δt) NaOH | 3 | 3 | 1/3 (Δ[NaOH])/(Δt) S | 3 | 3 | 1/3 (Δ[S])/(Δt) NaCl | 1 | 1 | (Δ[NaCl])/(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[NaClO3])/(Δt) = -1/3 (Δ[NaHS])/(Δt) = 1/3 (Δ[NaOH])/(Δt) = 1/3 (Δ[S])/(Δt) = (Δ[NaCl])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Construct the rate of reaction expression for: NaClO_3 + NaHS ⟶ NaOH + S + NaCl 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: NaClO_3 + 3 NaHS ⟶ 3 NaOH + 3 S + NaCl 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 NaClO_3 | 1 | -1 NaHS | 3 | -3 NaOH | 3 | 3 S | 3 | 3 NaCl | 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 NaClO_3 | 1 | -1 | -(Δ[NaClO3])/(Δt) NaHS | 3 | -3 | -1/3 (Δ[NaHS])/(Δt) NaOH | 3 | 3 | 1/3 (Δ[NaOH])/(Δt) S | 3 | 3 | 1/3 (Δ[S])/(Δt) NaCl | 1 | 1 | (Δ[NaCl])/(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[NaClO3])/(Δt) = -1/3 (Δ[NaHS])/(Δt) = 1/3 (Δ[NaOH])/(Δt) = 1/3 (Δ[S])/(Δt) = (Δ[NaCl])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)

Chemical names and formulas

| sodium chlorate | sodium bisulfide | sodium hydroxide | mixed sulfur | sodium chloride formula | NaClO_3 | NaHS | NaOH | S | NaCl Hill formula | ClNaO_3 | HNaS | HNaO | S | ClNa name | sodium chlorate | sodium bisulfide | sodium hydroxide | mixed sulfur | sodium chloride IUPAC name | sodium chlorate | sodium sulfanide | sodium hydroxide | sulfur | sodium chloride
| sodium chlorate | sodium bisulfide | sodium hydroxide | mixed sulfur | sodium chloride formula | NaClO_3 | NaHS | NaOH | S | NaCl Hill formula | ClNaO_3 | HNaS | HNaO | S | ClNa name | sodium chlorate | sodium bisulfide | sodium hydroxide | mixed sulfur | sodium chloride IUPAC name | sodium chlorate | sodium sulfanide | sodium hydroxide | sulfur | sodium chloride

Substance properties

| sodium chlorate | sodium bisulfide | sodium hydroxide | mixed sulfur | sodium chloride molar mass | 106.4 g/mol | 56.06 g/mol | 39.997 g/mol | 32.06 g/mol | 58.44 g/mol phase | liquid (at STP) | solid (at STP) | solid (at STP) | solid (at STP) | solid (at STP) melting point | | 43 °C | 323 °C | 112.8 °C | 801 °C boiling point | 106 °C | | 1390 °C | 444.7 °C | 1413 °C density | 1.3 g/cm^3 | 1.79 g/cm^3 | 2.13 g/cm^3 | 2.07 g/cm^3 | 2.16 g/cm^3 solubility in water | very soluble | | soluble | | soluble surface tension | | | 0.07435 N/m | | dynamic viscosity | 0.00542 Pa s (at 286 °C) | | 0.004 Pa s (at 350 °C) | | odor | odorless | | | | odorless
| sodium chlorate | sodium bisulfide | sodium hydroxide | mixed sulfur | sodium chloride molar mass | 106.4 g/mol | 56.06 g/mol | 39.997 g/mol | 32.06 g/mol | 58.44 g/mol phase | liquid (at STP) | solid (at STP) | solid (at STP) | solid (at STP) | solid (at STP) melting point | | 43 °C | 323 °C | 112.8 °C | 801 °C boiling point | 106 °C | | 1390 °C | 444.7 °C | 1413 °C density | 1.3 g/cm^3 | 1.79 g/cm^3 | 2.13 g/cm^3 | 2.07 g/cm^3 | 2.16 g/cm^3 solubility in water | very soluble | | soluble | | soluble surface tension | | | 0.07435 N/m | | dynamic viscosity | 0.00542 Pa s (at 286 °C) | | 0.004 Pa s (at 350 °C) | | odor | odorless | | | | odorless

Units

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