Input interpretation
![Cr chromium + S_8 rhombic sulfur ⟶ CrS](../image_source/2315f0b645bd3e61908199bd5a8562dd.png)
Cr chromium + S_8 rhombic sulfur ⟶ CrS
Balanced equation
![Balance the chemical equation algebraically: Cr + S_8 ⟶ CrS Add stoichiometric coefficients, c_i, to the reactants and products: c_1 Cr + c_2 S_8 ⟶ c_3 CrS Set the number of atoms in the reactants equal to the number of atoms in the products for Cr and S: Cr: | c_1 = c_3 S: | 8 c_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_2 = 1 and solve the system of equations for the remaining coefficients: c_1 = 8 c_2 = 1 c_3 = 8 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 8 Cr + S_8 ⟶ 8 CrS](../image_source/72e2044a997ef232f5449d15c4cf4f4a.png)
Balance the chemical equation algebraically: Cr + S_8 ⟶ CrS Add stoichiometric coefficients, c_i, to the reactants and products: c_1 Cr + c_2 S_8 ⟶ c_3 CrS Set the number of atoms in the reactants equal to the number of atoms in the products for Cr and S: Cr: | c_1 = c_3 S: | 8 c_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_2 = 1 and solve the system of equations for the remaining coefficients: c_1 = 8 c_2 = 1 c_3 = 8 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 8 Cr + S_8 ⟶ 8 CrS
Structures
![+ ⟶ CrS](../image_source/1f16e3270c378e7ebfe981a9916c2271.png)
+ ⟶ CrS
Names
![chromium + rhombic sulfur ⟶ CrS](../image_source/2c85f633c27e7b3605f0ab143f333abb.png)
chromium + rhombic sulfur ⟶ CrS
Equilibrium constant
![Construct the equilibrium constant, K, expression for: Cr + S_8 ⟶ CrS 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: 8 Cr + S_8 ⟶ 8 CrS 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 Cr | 8 | -8 S_8 | 1 | -1 CrS | 8 | 8 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression Cr | 8 | -8 | ([Cr])^(-8) S_8 | 1 | -1 | ([S8])^(-1) CrS | 8 | 8 | ([CrS])^8 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 = ([Cr])^(-8) ([S8])^(-1) ([CrS])^8 = ([CrS])^8/(([Cr])^8 [S8])](../image_source/31068eb69fecdd7c316a9bf0798fc217.png)
Construct the equilibrium constant, K, expression for: Cr + S_8 ⟶ CrS 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: 8 Cr + S_8 ⟶ 8 CrS 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 Cr | 8 | -8 S_8 | 1 | -1 CrS | 8 | 8 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression Cr | 8 | -8 | ([Cr])^(-8) S_8 | 1 | -1 | ([S8])^(-1) CrS | 8 | 8 | ([CrS])^8 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 = ([Cr])^(-8) ([S8])^(-1) ([CrS])^8 = ([CrS])^8/(([Cr])^8 [S8])
Rate of reaction
![Construct the rate of reaction expression for: Cr + S_8 ⟶ CrS 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: 8 Cr + S_8 ⟶ 8 CrS 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 Cr | 8 | -8 S_8 | 1 | -1 CrS | 8 | 8 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 Cr | 8 | -8 | -1/8 (Δ[Cr])/(Δt) S_8 | 1 | -1 | -(Δ[S8])/(Δt) CrS | 8 | 8 | 1/8 (Δ[CrS])/(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 = -1/8 (Δ[Cr])/(Δt) = -(Δ[S8])/(Δt) = 1/8 (Δ[CrS])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)](../image_source/e911462b3e92891fdb83ed1f2821419d.png)
Construct the rate of reaction expression for: Cr + S_8 ⟶ CrS 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: 8 Cr + S_8 ⟶ 8 CrS 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 Cr | 8 | -8 S_8 | 1 | -1 CrS | 8 | 8 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 Cr | 8 | -8 | -1/8 (Δ[Cr])/(Δt) S_8 | 1 | -1 | -(Δ[S8])/(Δt) CrS | 8 | 8 | 1/8 (Δ[CrS])/(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 = -1/8 (Δ[Cr])/(Δt) = -(Δ[S8])/(Δt) = 1/8 (Δ[CrS])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Chemical names and formulas
![| chromium | rhombic sulfur | CrS formula | Cr | S_8 | CrS name | chromium | rhombic sulfur | IUPAC name | chromium | octathiocane |](../image_source/dd0d949590a0fb6b52efb0a7f6d74a94.png)
| chromium | rhombic sulfur | CrS formula | Cr | S_8 | CrS name | chromium | rhombic sulfur | IUPAC name | chromium | octathiocane |
Substance properties
![| chromium | rhombic sulfur | CrS molar mass | 51.9961 g/mol | 256.5 g/mol | 84.06 g/mol phase | solid (at STP) | solid (at STP) | melting point | 1857 °C | | boiling point | 2672 °C | | density | 7.14 g/cm^3 | 2.07 g/cm^3 | solubility in water | insoluble | | odor | odorless | |](../image_source/b2d2c482f12408b1c97505d64f3fa6c8.png)
| chromium | rhombic sulfur | CrS molar mass | 51.9961 g/mol | 256.5 g/mol | 84.06 g/mol phase | solid (at STP) | solid (at STP) | melting point | 1857 °C | | boiling point | 2672 °C | | density | 7.14 g/cm^3 | 2.07 g/cm^3 | solubility in water | insoluble | | odor | odorless | |
Units