Input interpretation
![O_2 oxygen + Cs cesium ⟶ Cs2O](../image_source/5924900c0c3c6156b40ba1ada6b04081.png)
O_2 oxygen + Cs cesium ⟶ Cs2O
Balanced equation
![Balance the chemical equation algebraically: O_2 + Cs ⟶ Cs2O Add stoichiometric coefficients, c_i, to the reactants and products: c_1 O_2 + c_2 Cs ⟶ c_3 Cs2O Set the number of atoms in the reactants equal to the number of atoms in the products for O and Cs: O: | 2 c_1 = c_3 Cs: | 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_1 = 1 and solve the system of equations for the remaining coefficients: c_1 = 1 c_2 = 4 c_3 = 2 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | O_2 + 4 Cs ⟶ 2 Cs2O](../image_source/965af35fb21e2a2719e0fbac829728bf.png)
Balance the chemical equation algebraically: O_2 + Cs ⟶ Cs2O Add stoichiometric coefficients, c_i, to the reactants and products: c_1 O_2 + c_2 Cs ⟶ c_3 Cs2O Set the number of atoms in the reactants equal to the number of atoms in the products for O and Cs: O: | 2 c_1 = c_3 Cs: | 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_1 = 1 and solve the system of equations for the remaining coefficients: c_1 = 1 c_2 = 4 c_3 = 2 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | O_2 + 4 Cs ⟶ 2 Cs2O
Structures
![+ ⟶ Cs2O](../image_source/500dbbb0fc23e0d7eb6039aa67bec46c.png)
+ ⟶ Cs2O
Names
![oxygen + cesium ⟶ Cs2O](../image_source/bd1163b30a548ab75ae4d3698cc4330f.png)
oxygen + cesium ⟶ Cs2O
Equilibrium constant
![Construct the equilibrium constant, K, expression for: O_2 + Cs ⟶ Cs2O 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: O_2 + 4 Cs ⟶ 2 Cs2O 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 O_2 | 1 | -1 Cs | 4 | -4 Cs2O | 2 | 2 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression O_2 | 1 | -1 | ([O2])^(-1) Cs | 4 | -4 | ([Cs])^(-4) Cs2O | 2 | 2 | ([Cs2O])^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 = ([O2])^(-1) ([Cs])^(-4) ([Cs2O])^2 = ([Cs2O])^2/([O2] ([Cs])^4)](../image_source/1745f78f83c6f1b36dfefbbaf18ed4a4.png)
Construct the equilibrium constant, K, expression for: O_2 + Cs ⟶ Cs2O 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: O_2 + 4 Cs ⟶ 2 Cs2O 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 O_2 | 1 | -1 Cs | 4 | -4 Cs2O | 2 | 2 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression O_2 | 1 | -1 | ([O2])^(-1) Cs | 4 | -4 | ([Cs])^(-4) Cs2O | 2 | 2 | ([Cs2O])^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 = ([O2])^(-1) ([Cs])^(-4) ([Cs2O])^2 = ([Cs2O])^2/([O2] ([Cs])^4)
Rate of reaction
![Construct the rate of reaction expression for: O_2 + Cs ⟶ Cs2O 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: O_2 + 4 Cs ⟶ 2 Cs2O 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 O_2 | 1 | -1 Cs | 4 | -4 Cs2O | 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 O_2 | 1 | -1 | -(Δ[O2])/(Δt) Cs | 4 | -4 | -1/4 (Δ[Cs])/(Δt) Cs2O | 2 | 2 | 1/2 (Δ[Cs2O])/(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[O2])/(Δt) = -1/4 (Δ[Cs])/(Δt) = 1/2 (Δ[Cs2O])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)](../image_source/d01eaa9ee461e95ee4ee215b25f8d259.png)
Construct the rate of reaction expression for: O_2 + Cs ⟶ Cs2O 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: O_2 + 4 Cs ⟶ 2 Cs2O 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 O_2 | 1 | -1 Cs | 4 | -4 Cs2O | 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 O_2 | 1 | -1 | -(Δ[O2])/(Δt) Cs | 4 | -4 | -1/4 (Δ[Cs])/(Δt) Cs2O | 2 | 2 | 1/2 (Δ[Cs2O])/(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[O2])/(Δt) = -1/4 (Δ[Cs])/(Δt) = 1/2 (Δ[Cs2O])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Chemical names and formulas
![| oxygen | cesium | Cs2O formula | O_2 | Cs | Cs2O name | oxygen | cesium | IUPAC name | molecular oxygen | cesium |](../image_source/cdc8b028a66d942e0762ae90608b2146.png)
| oxygen | cesium | Cs2O formula | O_2 | Cs | Cs2O name | oxygen | cesium | IUPAC name | molecular oxygen | cesium |
Substance properties
![| oxygen | cesium | Cs2O molar mass | 31.998 g/mol | 132.90545196 g/mol | 281.81 g/mol phase | gas (at STP) | solid (at STP) | melting point | -218 °C | 28.5 °C | boiling point | -183 °C | 705 °C | density | 0.001429 g/cm^3 (at 0 °C) | 1.873 g/cm^3 | solubility in water | | decomposes | surface tension | 0.01347 N/m | | dynamic viscosity | 2.055×10^-5 Pa s (at 25 °C) | | odor | odorless | |](../image_source/62f2c08c32196947835a2a451d6b9cec.png)
| oxygen | cesium | Cs2O molar mass | 31.998 g/mol | 132.90545196 g/mol | 281.81 g/mol phase | gas (at STP) | solid (at STP) | melting point | -218 °C | 28.5 °C | boiling point | -183 °C | 705 °C | density | 0.001429 g/cm^3 (at 0 °C) | 1.873 g/cm^3 | solubility in water | | decomposes | surface tension | 0.01347 N/m | | dynamic viscosity | 2.055×10^-5 Pa s (at 25 °C) | | odor | odorless | |
Units