Input interpretation
![S mixed sulfur + Al aluminum ⟶ Al2S2](../image_source/0a482372ef7c74c7862c84b12d562925.png)
S mixed sulfur + Al aluminum ⟶ Al2S2
Balanced equation
![Balance the chemical equation algebraically: S + Al ⟶ Al2S2 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 S + c_2 Al ⟶ c_3 Al2S2 Set the number of atoms in the reactants equal to the number of atoms in the products for S and Al: S: | c_1 = 2 c_3 Al: | c_2 = 2 c_3 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_3 = 1 and solve the system of equations for the remaining coefficients: c_1 = 2 c_2 = 2 c_3 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 2 S + 2 Al ⟶ Al2S2](../image_source/42e6d8f50177c73d6c1b8008c5470780.png)
Balance the chemical equation algebraically: S + Al ⟶ Al2S2 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 S + c_2 Al ⟶ c_3 Al2S2 Set the number of atoms in the reactants equal to the number of atoms in the products for S and Al: S: | c_1 = 2 c_3 Al: | c_2 = 2 c_3 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_3 = 1 and solve the system of equations for the remaining coefficients: c_1 = 2 c_2 = 2 c_3 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 2 S + 2 Al ⟶ Al2S2
Structures
![+ ⟶ Al2S2](../image_source/6dc80d1cbecfd900d22039d9316b675c.png)
+ ⟶ Al2S2
Names
![mixed sulfur + aluminum ⟶ Al2S2](../image_source/b767125eaca1728ade62a6a10e953a95.png)
mixed sulfur + aluminum ⟶ Al2S2
Equilibrium constant
![Construct the equilibrium constant, K, expression for: S + Al ⟶ Al2S2 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: 2 S + 2 Al ⟶ Al2S2 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 S | 2 | -2 Al | 2 | -2 Al2S2 | 1 | 1 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression S | 2 | -2 | ([S])^(-2) Al | 2 | -2 | ([Al])^(-2) Al2S2 | 1 | 1 | [Al2S2] 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 = ([S])^(-2) ([Al])^(-2) [Al2S2] = ([Al2S2])/(([S])^2 ([Al])^2)](../image_source/1a15bf8f96c28b18273f1ad8f2d43051.png)
Construct the equilibrium constant, K, expression for: S + Al ⟶ Al2S2 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: 2 S + 2 Al ⟶ Al2S2 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 S | 2 | -2 Al | 2 | -2 Al2S2 | 1 | 1 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression S | 2 | -2 | ([S])^(-2) Al | 2 | -2 | ([Al])^(-2) Al2S2 | 1 | 1 | [Al2S2] 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 = ([S])^(-2) ([Al])^(-2) [Al2S2] = ([Al2S2])/(([S])^2 ([Al])^2)
Rate of reaction
![Construct the rate of reaction expression for: S + Al ⟶ Al2S2 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: 2 S + 2 Al ⟶ Al2S2 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 S | 2 | -2 Al | 2 | -2 Al2S2 | 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 S | 2 | -2 | -1/2 (Δ[S])/(Δt) Al | 2 | -2 | -1/2 (Δ[Al])/(Δt) Al2S2 | 1 | 1 | (Δ[Al2S2])/(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 = -1/2 (Δ[S])/(Δt) = -1/2 (Δ[Al])/(Δt) = (Δ[Al2S2])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)](../image_source/2ab3d37ef0462503c7a07fe81c6e30d2.png)
Construct the rate of reaction expression for: S + Al ⟶ Al2S2 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: 2 S + 2 Al ⟶ Al2S2 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 S | 2 | -2 Al | 2 | -2 Al2S2 | 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 S | 2 | -2 | -1/2 (Δ[S])/(Δt) Al | 2 | -2 | -1/2 (Δ[Al])/(Δt) Al2S2 | 1 | 1 | (Δ[Al2S2])/(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 = -1/2 (Δ[S])/(Δt) = -1/2 (Δ[Al])/(Δt) = (Δ[Al2S2])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Chemical names and formulas
![| mixed sulfur | aluminum | Al2S2 formula | S | Al | Al2S2 name | mixed sulfur | aluminum | IUPAC name | sulfur | aluminum |](../image_source/5e1f6bf7d7b1d106662e3f42b280460b.png)
| mixed sulfur | aluminum | Al2S2 formula | S | Al | Al2S2 name | mixed sulfur | aluminum | IUPAC name | sulfur | aluminum |
Substance properties
![| mixed sulfur | aluminum | Al2S2 molar mass | 32.06 g/mol | 26.9815385 g/mol | 118.1 g/mol phase | solid (at STP) | solid (at STP) | melting point | 112.8 °C | 660.4 °C | boiling point | 444.7 °C | 2460 °C | density | 2.07 g/cm^3 | 2.7 g/cm^3 | solubility in water | | insoluble | surface tension | | 0.817 N/m | dynamic viscosity | | 1.5×10^-4 Pa s (at 760 °C) | odor | | odorless |](../image_source/5d28ed33c9c0a7d891beda223454a589.png)
| mixed sulfur | aluminum | Al2S2 molar mass | 32.06 g/mol | 26.9815385 g/mol | 118.1 g/mol phase | solid (at STP) | solid (at STP) | melting point | 112.8 °C | 660.4 °C | boiling point | 444.7 °C | 2460 °C | density | 2.07 g/cm^3 | 2.7 g/cm^3 | solubility in water | | insoluble | surface tension | | 0.817 N/m | dynamic viscosity | | 1.5×10^-4 Pa s (at 760 °C) | odor | | odorless |
Units