Input interpretation
![O_2 oxygen + Rb rubidium ⟶ Rb2O](../image_source/365e6c570b9ce1ece7670e77e8f7fc04.png)
O_2 oxygen + Rb rubidium ⟶ Rb2O
Balanced equation
![Balance the chemical equation algebraically: O_2 + Rb ⟶ Rb2O Add stoichiometric coefficients, c_i, to the reactants and products: c_1 O_2 + c_2 Rb ⟶ c_3 Rb2O Set the number of atoms in the reactants equal to the number of atoms in the products for O and Rb: O: | 2 c_1 = c_3 Rb: | 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 Rb ⟶ 2 Rb2O](../image_source/fd1587f0bde2d047b8120ed743858190.png)
Balance the chemical equation algebraically: O_2 + Rb ⟶ Rb2O Add stoichiometric coefficients, c_i, to the reactants and products: c_1 O_2 + c_2 Rb ⟶ c_3 Rb2O Set the number of atoms in the reactants equal to the number of atoms in the products for O and Rb: O: | 2 c_1 = c_3 Rb: | 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 Rb ⟶ 2 Rb2O
Structures
![+ ⟶ Rb2O](../image_source/7c150bf18fd89f0908c55cc915934f11.png)
+ ⟶ Rb2O
Names
![oxygen + rubidium ⟶ Rb2O](../image_source/9a5a1924b58275fc2b0ec28389b96528.png)
oxygen + rubidium ⟶ Rb2O
Equilibrium constant
![Construct the equilibrium constant, K, expression for: O_2 + Rb ⟶ Rb2O 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 Rb ⟶ 2 Rb2O 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 Rb | 4 | -4 Rb2O | 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) Rb | 4 | -4 | ([Rb])^(-4) Rb2O | 2 | 2 | ([Rb2O])^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) ([Rb])^(-4) ([Rb2O])^2 = ([Rb2O])^2/([O2] ([Rb])^4)](../image_source/a4c686388ed13d0cfc3d5bc1fb599883.png)
Construct the equilibrium constant, K, expression for: O_2 + Rb ⟶ Rb2O 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 Rb ⟶ 2 Rb2O 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 Rb | 4 | -4 Rb2O | 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) Rb | 4 | -4 | ([Rb])^(-4) Rb2O | 2 | 2 | ([Rb2O])^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) ([Rb])^(-4) ([Rb2O])^2 = ([Rb2O])^2/([O2] ([Rb])^4)
Rate of reaction
![Construct the rate of reaction expression for: O_2 + Rb ⟶ Rb2O 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 Rb ⟶ 2 Rb2O 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 Rb | 4 | -4 Rb2O | 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) Rb | 4 | -4 | -1/4 (Δ[Rb])/(Δt) Rb2O | 2 | 2 | 1/2 (Δ[Rb2O])/(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[Rb])/(Δt) = 1/2 (Δ[Rb2O])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)](../image_source/5540738e5963c80a5b272615f04d5ac5.png)
Construct the rate of reaction expression for: O_2 + Rb ⟶ Rb2O 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 Rb ⟶ 2 Rb2O 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 Rb | 4 | -4 Rb2O | 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) Rb | 4 | -4 | -1/4 (Δ[Rb])/(Δt) Rb2O | 2 | 2 | 1/2 (Δ[Rb2O])/(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[Rb])/(Δt) = 1/2 (Δ[Rb2O])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Chemical names and formulas
![| oxygen | rubidium | Rb2O formula | O_2 | Rb | Rb2O Hill formula | O_2 | Rb | ORb2 name | oxygen | rubidium | IUPAC name | molecular oxygen | rubidium |](../image_source/d30e0e7bcff566d065c203f28ad7d535.png)
| oxygen | rubidium | Rb2O formula | O_2 | Rb | Rb2O Hill formula | O_2 | Rb | ORb2 name | oxygen | rubidium | IUPAC name | molecular oxygen | rubidium |
Substance properties
![| oxygen | rubidium | Rb2O molar mass | 31.998 g/mol | 85.4678 g/mol | 186.935 g/mol phase | gas (at STP) | solid (at STP) | melting point | -218 °C | 38.5 °C | boiling point | -183 °C | 686 °C | density | 0.001429 g/cm^3 (at 0 °C) | 1.53 g/cm^3 | solubility in water | | reacts | surface tension | 0.01347 N/m | | dynamic viscosity | 2.055×10^-5 Pa s (at 25 °C) | | odor | odorless | |](../image_source/24f9b95d9764ba1db3a22119b8e8afd7.png)
| oxygen | rubidium | Rb2O molar mass | 31.998 g/mol | 85.4678 g/mol | 186.935 g/mol phase | gas (at STP) | solid (at STP) | melting point | -218 °C | 38.5 °C | boiling point | -183 °C | 686 °C | density | 0.001429 g/cm^3 (at 0 °C) | 1.53 g/cm^3 | solubility in water | | reacts | surface tension | 0.01347 N/m | | dynamic viscosity | 2.055×10^-5 Pa s (at 25 °C) | | odor | odorless | |
Units