Input interpretation
![H_2 (hydrogen) + CuO (cupric oxide) ⟶ H_2O (water) + Cu (copper)](../image_source/ac1395d66a21dc8da45f4a8e1cfe8e94.png)
H_2 (hydrogen) + CuO (cupric oxide) ⟶ H_2O (water) + Cu (copper)
Balanced equation
![Balance the chemical equation algebraically: H_2 + CuO ⟶ H_2O + Cu Add stoichiometric coefficients, c_i, to the reactants and products: c_1 H_2 + c_2 CuO ⟶ c_3 H_2O + c_4 Cu Set the number of atoms in the reactants equal to the number of atoms in the products for H, Cu and O: H: | 2 c_1 = 2 c_3 Cu: | c_2 = c_4 O: | 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_1 = 1 and solve the system of equations for the remaining coefficients: c_1 = 1 c_2 = 1 c_3 = 1 c_4 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | H_2 + CuO ⟶ H_2O + Cu](../image_source/a8e18ee43e8cb5d01fd6a74e1be3d69d.png)
Balance the chemical equation algebraically: H_2 + CuO ⟶ H_2O + Cu Add stoichiometric coefficients, c_i, to the reactants and products: c_1 H_2 + c_2 CuO ⟶ c_3 H_2O + c_4 Cu Set the number of atoms in the reactants equal to the number of atoms in the products for H, Cu and O: H: | 2 c_1 = 2 c_3 Cu: | c_2 = c_4 O: | 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_1 = 1 and solve the system of equations for the remaining coefficients: c_1 = 1 c_2 = 1 c_3 = 1 c_4 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | H_2 + CuO ⟶ H_2O + Cu
Structures
![+ ⟶ +](../image_source/e0a0ac5e7ca864b119d2f1eaff82eb77.png)
+ ⟶ +
Names
![hydrogen + cupric oxide ⟶ water + copper](../image_source/8a4700c56e3b5f5dc3ab1c744e47cde5.png)
hydrogen + cupric oxide ⟶ water + copper
Reaction thermodynamics
Enthalpy
![| hydrogen | cupric oxide | water | copper molecular enthalpy | 0 kJ/mol | -157.3 kJ/mol | -285.8 kJ/mol | 0 kJ/mol total enthalpy | 0 kJ/mol | -157.3 kJ/mol | -285.8 kJ/mol | 0 kJ/mol | H_initial = -157.3 kJ/mol | | H_final = -285.8 kJ/mol | ΔH_rxn^0 | -285.8 kJ/mol - -157.3 kJ/mol = -128.5 kJ/mol (exothermic) | | |](../image_source/5a44e987bada4cf12a260878631c0c7a.png)
| hydrogen | cupric oxide | water | copper molecular enthalpy | 0 kJ/mol | -157.3 kJ/mol | -285.8 kJ/mol | 0 kJ/mol total enthalpy | 0 kJ/mol | -157.3 kJ/mol | -285.8 kJ/mol | 0 kJ/mol | H_initial = -157.3 kJ/mol | | H_final = -285.8 kJ/mol | ΔH_rxn^0 | -285.8 kJ/mol - -157.3 kJ/mol = -128.5 kJ/mol (exothermic) | | |
Entropy
![| hydrogen | cupric oxide | water | copper molecular entropy | 115 J/(mol K) | 43 J/(mol K) | 69.91 J/(mol K) | 33 J/(mol K) total entropy | 115 J/(mol K) | 43 J/(mol K) | 69.91 J/(mol K) | 33 J/(mol K) | S_initial = 158 J/(mol K) | | S_final = 102.9 J/(mol K) | ΔS_rxn^0 | 102.9 J/(mol K) - 158 J/(mol K) = -55.09 J/(mol K) (exoentropic) | | |](../image_source/84accad03132116bfddd3a46e60afb4b.png)
| hydrogen | cupric oxide | water | copper molecular entropy | 115 J/(mol K) | 43 J/(mol K) | 69.91 J/(mol K) | 33 J/(mol K) total entropy | 115 J/(mol K) | 43 J/(mol K) | 69.91 J/(mol K) | 33 J/(mol K) | S_initial = 158 J/(mol K) | | S_final = 102.9 J/(mol K) | ΔS_rxn^0 | 102.9 J/(mol K) - 158 J/(mol K) = -55.09 J/(mol K) (exoentropic) | | |
Equilibrium constant
![Construct the equilibrium constant, K, expression for: H_2 + CuO ⟶ H_2O + Cu 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: H_2 + CuO ⟶ H_2O + Cu 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 H_2 | 1 | -1 CuO | 1 | -1 H_2O | 1 | 1 Cu | 1 | 1 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression H_2 | 1 | -1 | ([H2])^(-1) CuO | 1 | -1 | ([CuO])^(-1) H_2O | 1 | 1 | [H2O] Cu | 1 | 1 | [Cu] 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 = ([H2])^(-1) ([CuO])^(-1) [H2O] [Cu] = ([H2O] [Cu])/([H2] [CuO])](../image_source/96088d22150a84ad06a7cf10a27e5e1a.png)
Construct the equilibrium constant, K, expression for: H_2 + CuO ⟶ H_2O + Cu 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: H_2 + CuO ⟶ H_2O + Cu 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 H_2 | 1 | -1 CuO | 1 | -1 H_2O | 1 | 1 Cu | 1 | 1 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression H_2 | 1 | -1 | ([H2])^(-1) CuO | 1 | -1 | ([CuO])^(-1) H_2O | 1 | 1 | [H2O] Cu | 1 | 1 | [Cu] 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 = ([H2])^(-1) ([CuO])^(-1) [H2O] [Cu] = ([H2O] [Cu])/([H2] [CuO])
Rate of reaction
![Construct the rate of reaction expression for: H_2 + CuO ⟶ H_2O + Cu 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: H_2 + CuO ⟶ H_2O + Cu 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 H_2 | 1 | -1 CuO | 1 | -1 H_2O | 1 | 1 Cu | 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 H_2 | 1 | -1 | -(Δ[H2])/(Δt) CuO | 1 | -1 | -(Δ[CuO])/(Δt) H_2O | 1 | 1 | (Δ[H2O])/(Δt) Cu | 1 | 1 | (Δ[Cu])/(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[H2])/(Δt) = -(Δ[CuO])/(Δt) = (Δ[H2O])/(Δt) = (Δ[Cu])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)](../image_source/b6a89e68b6c41c33cd8b0b3d9b8c4718.png)
Construct the rate of reaction expression for: H_2 + CuO ⟶ H_2O + Cu 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: H_2 + CuO ⟶ H_2O + Cu 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 H_2 | 1 | -1 CuO | 1 | -1 H_2O | 1 | 1 Cu | 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 H_2 | 1 | -1 | -(Δ[H2])/(Δt) CuO | 1 | -1 | -(Δ[CuO])/(Δt) H_2O | 1 | 1 | (Δ[H2O])/(Δt) Cu | 1 | 1 | (Δ[Cu])/(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[H2])/(Δt) = -(Δ[CuO])/(Δt) = (Δ[H2O])/(Δt) = (Δ[Cu])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Chemical names and formulas
![| hydrogen | cupric oxide | water | copper formula | H_2 | CuO | H_2O | Cu name | hydrogen | cupric oxide | water | copper IUPAC name | molecular hydrogen | | water | copper](../image_source/0103d02fd34c8b88df8a3f3addb98d27.png)
| hydrogen | cupric oxide | water | copper formula | H_2 | CuO | H_2O | Cu name | hydrogen | cupric oxide | water | copper IUPAC name | molecular hydrogen | | water | copper
Substance properties
![| hydrogen | cupric oxide | water | copper molar mass | 2.016 g/mol | 79.545 g/mol | 18.015 g/mol | 63.546 g/mol phase | gas (at STP) | solid (at STP) | liquid (at STP) | solid (at STP) melting point | -259.2 °C | 1326 °C | 0 °C | 1083 °C boiling point | -252.8 °C | 2000 °C | 99.9839 °C | 2567 °C density | 8.99×10^-5 g/cm^3 (at 0 °C) | 6.315 g/cm^3 | 1 g/cm^3 | 8.96 g/cm^3 solubility in water | | insoluble | | insoluble surface tension | | | 0.0728 N/m | dynamic viscosity | 8.9×10^-6 Pa s (at 25 °C) | | 8.9×10^-4 Pa s (at 25 °C) | odor | odorless | | odorless | odorless](../image_source/11c740cfec969982f4cba535e457c4eb.png)
| hydrogen | cupric oxide | water | copper molar mass | 2.016 g/mol | 79.545 g/mol | 18.015 g/mol | 63.546 g/mol phase | gas (at STP) | solid (at STP) | liquid (at STP) | solid (at STP) melting point | -259.2 °C | 1326 °C | 0 °C | 1083 °C boiling point | -252.8 °C | 2000 °C | 99.9839 °C | 2567 °C density | 8.99×10^-5 g/cm^3 (at 0 °C) | 6.315 g/cm^3 | 1 g/cm^3 | 8.96 g/cm^3 solubility in water | | insoluble | | insoluble surface tension | | | 0.0728 N/m | dynamic viscosity | 8.9×10^-6 Pa s (at 25 °C) | | 8.9×10^-4 Pa s (at 25 °C) | odor | odorless | | odorless | odorless
Units