Input interpretation
![O_2 oxygen + CI2 ⟶ CI2O7](../image_source/60400028bbe244af3ab62f1ccaabd925.png)
O_2 oxygen + CI2 ⟶ CI2O7
Balanced equation
![Balance the chemical equation algebraically: O_2 + CI2 ⟶ CI2O7 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 O_2 + c_2 CI2 ⟶ c_3 CI2O7 Set the number of atoms in the reactants equal to the number of atoms in the products for O, C and I: O: | 2 c_1 = 7 c_3 C: | c_2 = c_3 I: | 2 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_2 = 1 and solve the system of equations for the remaining coefficients: c_1 = 7/2 c_2 = 1 c_3 = 1 Multiply by the least common denominator, 2, to eliminate fractional coefficients: c_1 = 7 c_2 = 2 c_3 = 2 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 7 O_2 + 2 CI2 ⟶ 2 CI2O7](../image_source/ba1a9884c800938ca9fbeae926734b97.png)
Balance the chemical equation algebraically: O_2 + CI2 ⟶ CI2O7 Add stoichiometric coefficients, c_i, to the reactants and products: c_1 O_2 + c_2 CI2 ⟶ c_3 CI2O7 Set the number of atoms in the reactants equal to the number of atoms in the products for O, C and I: O: | 2 c_1 = 7 c_3 C: | c_2 = c_3 I: | 2 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_2 = 1 and solve the system of equations for the remaining coefficients: c_1 = 7/2 c_2 = 1 c_3 = 1 Multiply by the least common denominator, 2, to eliminate fractional coefficients: c_1 = 7 c_2 = 2 c_3 = 2 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 7 O_2 + 2 CI2 ⟶ 2 CI2O7
Structures
![+ CI2 ⟶ CI2O7](../image_source/49b5e02894d9b9e18b2d84d3bc4ba65c.png)
+ CI2 ⟶ CI2O7
Names
![oxygen + CI2 ⟶ CI2O7](../image_source/4212399350397a3c1f3f00a02198cf9f.png)
oxygen + CI2 ⟶ CI2O7
Equilibrium constant
![Construct the equilibrium constant, K, expression for: O_2 + CI2 ⟶ CI2O7 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: 7 O_2 + 2 CI2 ⟶ 2 CI2O7 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 | 7 | -7 CI2 | 2 | -2 CI2O7 | 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 | 7 | -7 | ([O2])^(-7) CI2 | 2 | -2 | ([CI2])^(-2) CI2O7 | 2 | 2 | ([CI2O7])^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])^(-7) ([CI2])^(-2) ([CI2O7])^2 = ([CI2O7])^2/(([O2])^7 ([CI2])^2)](../image_source/9508ace1337d8bba4d9a3fe9f585d3df.png)
Construct the equilibrium constant, K, expression for: O_2 + CI2 ⟶ CI2O7 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: 7 O_2 + 2 CI2 ⟶ 2 CI2O7 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 | 7 | -7 CI2 | 2 | -2 CI2O7 | 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 | 7 | -7 | ([O2])^(-7) CI2 | 2 | -2 | ([CI2])^(-2) CI2O7 | 2 | 2 | ([CI2O7])^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])^(-7) ([CI2])^(-2) ([CI2O7])^2 = ([CI2O7])^2/(([O2])^7 ([CI2])^2)
Rate of reaction
![Construct the rate of reaction expression for: O_2 + CI2 ⟶ CI2O7 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: 7 O_2 + 2 CI2 ⟶ 2 CI2O7 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 | 7 | -7 CI2 | 2 | -2 CI2O7 | 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 | 7 | -7 | -1/7 (Δ[O2])/(Δt) CI2 | 2 | -2 | -1/2 (Δ[CI2])/(Δt) CI2O7 | 2 | 2 | 1/2 (Δ[CI2O7])/(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 = -1/7 (Δ[O2])/(Δt) = -1/2 (Δ[CI2])/(Δt) = 1/2 (Δ[CI2O7])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)](../image_source/1c5088e0884541035fa64f5a888aa16e.png)
Construct the rate of reaction expression for: O_2 + CI2 ⟶ CI2O7 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: 7 O_2 + 2 CI2 ⟶ 2 CI2O7 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 | 7 | -7 CI2 | 2 | -2 CI2O7 | 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 | 7 | -7 | -1/7 (Δ[O2])/(Δt) CI2 | 2 | -2 | -1/2 (Δ[CI2])/(Δt) CI2O7 | 2 | 2 | 1/2 (Δ[CI2O7])/(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 = -1/7 (Δ[O2])/(Δt) = -1/2 (Δ[CI2])/(Δt) = 1/2 (Δ[CI2O7])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Chemical names and formulas
![| oxygen | CI2 | CI2O7 formula | O_2 | CI2 | CI2O7 name | oxygen | | IUPAC name | molecular oxygen | |](../image_source/758f0c1a3d6f5e820b39b0bed56adc1e.png)
| oxygen | CI2 | CI2O7 formula | O_2 | CI2 | CI2O7 name | oxygen | | IUPAC name | molecular oxygen | |
Substance properties
![| oxygen | CI2 | CI2O7 molar mass | 31.998 g/mol | 265.82 g/mol | 377.81 g/mol phase | gas (at STP) | | melting point | -218 °C | | boiling point | -183 °C | | density | 0.001429 g/cm^3 (at 0 °C) | | surface tension | 0.01347 N/m | | dynamic viscosity | 2.055×10^-5 Pa s (at 25 °C) | | odor | odorless | |](../image_source/78d1d00987631e26cb259a054e44652c.png)
| oxygen | CI2 | CI2O7 molar mass | 31.998 g/mol | 265.82 g/mol | 377.81 g/mol phase | gas (at STP) | | melting point | -218 °C | | boiling point | -183 °C | | density | 0.001429 g/cm^3 (at 0 °C) | | surface tension | 0.01347 N/m | | dynamic viscosity | 2.055×10^-5 Pa s (at 25 °C) | | odor | odorless | |
Units