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MgO + C4H9COOH = H2O + (C4H9COO)2Mg

Input interpretation

MgO magnesium oxide + CH_3COOCH_2CH_2CH_3 propyl acetate ⟶ H_2O water + (C4H9COO)2Mg
MgO magnesium oxide + CH_3COOCH_2CH_2CH_3 propyl acetate ⟶ H_2O water + (C4H9COO)2Mg

Balanced equation

Balance the chemical equation algebraically: MgO + CH_3COOCH_2CH_2CH_3 ⟶ H_2O + (C4H9COO)2Mg Add stoichiometric coefficients, c_i, to the reactants and products: c_1 MgO + c_2 CH_3COOCH_2CH_2CH_3 ⟶ c_3 H_2O + c_4 (C4H9COO)2Mg Set the number of atoms in the reactants equal to the number of atoms in the products for Mg, O, C and H: Mg: | c_1 = c_4 O: | c_1 + 2 c_2 = c_3 + 4 c_4 C: | 5 c_2 = 10 c_4 H: | 10 c_2 = 2 c_3 + 18 c_4 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 = 2 c_3 = 1 c_4 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | MgO + 2 CH_3COOCH_2CH_2CH_3 ⟶ H_2O + (C4H9COO)2Mg
Balance the chemical equation algebraically: MgO + CH_3COOCH_2CH_2CH_3 ⟶ H_2O + (C4H9COO)2Mg Add stoichiometric coefficients, c_i, to the reactants and products: c_1 MgO + c_2 CH_3COOCH_2CH_2CH_3 ⟶ c_3 H_2O + c_4 (C4H9COO)2Mg Set the number of atoms in the reactants equal to the number of atoms in the products for Mg, O, C and H: Mg: | c_1 = c_4 O: | c_1 + 2 c_2 = c_3 + 4 c_4 C: | 5 c_2 = 10 c_4 H: | 10 c_2 = 2 c_3 + 18 c_4 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 = 2 c_3 = 1 c_4 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | MgO + 2 CH_3COOCH_2CH_2CH_3 ⟶ H_2O + (C4H9COO)2Mg

Structures

+ ⟶ + (C4H9COO)2Mg
+ ⟶ + (C4H9COO)2Mg

Names

magnesium oxide + propyl acetate ⟶ water + (C4H9COO)2Mg
magnesium oxide + propyl acetate ⟶ water + (C4H9COO)2Mg

Equilibrium constant

Construct the equilibrium constant, K, expression for: MgO + CH_3COOCH_2CH_2CH_3 ⟶ H_2O + (C4H9COO)2Mg 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: MgO + 2 CH_3COOCH_2CH_2CH_3 ⟶ H_2O + (C4H9COO)2Mg 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 MgO | 1 | -1 CH_3COOCH_2CH_2CH_3 | 2 | -2 H_2O | 1 | 1 (C4H9COO)2Mg | 1 | 1 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression MgO | 1 | -1 | ([MgO])^(-1) CH_3COOCH_2CH_2CH_3 | 2 | -2 | ([CH3COOCH2CH2CH3])^(-2) H_2O | 1 | 1 | [H2O] (C4H9COO)2Mg | 1 | 1 | [(C4H9COO)2Mg] 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 = ([MgO])^(-1) ([CH3COOCH2CH2CH3])^(-2) [H2O] [(C4H9COO)2Mg] = ([H2O] [(C4H9COO)2Mg])/([MgO] ([CH3COOCH2CH2CH3])^2)
Construct the equilibrium constant, K, expression for: MgO + CH_3COOCH_2CH_2CH_3 ⟶ H_2O + (C4H9COO)2Mg 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: MgO + 2 CH_3COOCH_2CH_2CH_3 ⟶ H_2O + (C4H9COO)2Mg 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 MgO | 1 | -1 CH_3COOCH_2CH_2CH_3 | 2 | -2 H_2O | 1 | 1 (C4H9COO)2Mg | 1 | 1 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression MgO | 1 | -1 | ([MgO])^(-1) CH_3COOCH_2CH_2CH_3 | 2 | -2 | ([CH3COOCH2CH2CH3])^(-2) H_2O | 1 | 1 | [H2O] (C4H9COO)2Mg | 1 | 1 | [(C4H9COO)2Mg] 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 = ([MgO])^(-1) ([CH3COOCH2CH2CH3])^(-2) [H2O] [(C4H9COO)2Mg] = ([H2O] [(C4H9COO)2Mg])/([MgO] ([CH3COOCH2CH2CH3])^2)

Rate of reaction

Construct the rate of reaction expression for: MgO + CH_3COOCH_2CH_2CH_3 ⟶ H_2O + (C4H9COO)2Mg 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: MgO + 2 CH_3COOCH_2CH_2CH_3 ⟶ H_2O + (C4H9COO)2Mg 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 MgO | 1 | -1 CH_3COOCH_2CH_2CH_3 | 2 | -2 H_2O | 1 | 1 (C4H9COO)2Mg | 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 MgO | 1 | -1 | -(Δ[MgO])/(Δt) CH_3COOCH_2CH_2CH_3 | 2 | -2 | -1/2 (Δ[CH3COOCH2CH2CH3])/(Δt) H_2O | 1 | 1 | (Δ[H2O])/(Δt) (C4H9COO)2Mg | 1 | 1 | (Δ[(C4H9COO)2Mg])/(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[MgO])/(Δt) = -1/2 (Δ[CH3COOCH2CH2CH3])/(Δt) = (Δ[H2O])/(Δt) = (Δ[(C4H9COO)2Mg])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)
Construct the rate of reaction expression for: MgO + CH_3COOCH_2CH_2CH_3 ⟶ H_2O + (C4H9COO)2Mg 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: MgO + 2 CH_3COOCH_2CH_2CH_3 ⟶ H_2O + (C4H9COO)2Mg 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 MgO | 1 | -1 CH_3COOCH_2CH_2CH_3 | 2 | -2 H_2O | 1 | 1 (C4H9COO)2Mg | 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 MgO | 1 | -1 | -(Δ[MgO])/(Δt) CH_3COOCH_2CH_2CH_3 | 2 | -2 | -1/2 (Δ[CH3COOCH2CH2CH3])/(Δt) H_2O | 1 | 1 | (Δ[H2O])/(Δt) (C4H9COO)2Mg | 1 | 1 | (Δ[(C4H9COO)2Mg])/(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[MgO])/(Δt) = -1/2 (Δ[CH3COOCH2CH2CH3])/(Δt) = (Δ[H2O])/(Δt) = (Δ[(C4H9COO)2Mg])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)

Chemical names and formulas

| magnesium oxide | propyl acetate | water | (C4H9COO)2Mg formula | MgO | CH_3COOCH_2CH_2CH_3 | H_2O | (C4H9COO)2Mg Hill formula | MgO | C_5H_10O_2 | H_2O | C10H18MgO4 name | magnesium oxide | propyl acetate | water | IUPAC name | oxomagnesium | acetic acid propyl ester | water |
| magnesium oxide | propyl acetate | water | (C4H9COO)2Mg formula | MgO | CH_3COOCH_2CH_2CH_3 | H_2O | (C4H9COO)2Mg Hill formula | MgO | C_5H_10O_2 | H_2O | C10H18MgO4 name | magnesium oxide | propyl acetate | water | IUPAC name | oxomagnesium | acetic acid propyl ester | water |

Substance properties

| magnesium oxide | propyl acetate | water | (C4H9COO)2Mg molar mass | 40.304 g/mol | 102.13 g/mol | 18.015 g/mol | 226.55 g/mol phase | solid (at STP) | liquid (at STP) | liquid (at STP) | melting point | 2852 °C | -95 °C | 0 °C | boiling point | 3600 °C | 102 °C | 99.9839 °C | density | 3.58 g/cm^3 | 0.888 g/cm^3 | 1 g/cm^3 | surface tension | | 0.0243 N/m | 0.0728 N/m | dynamic viscosity | | 5.44×10^-4 Pa s (at 25 °C) | 8.9×10^-4 Pa s (at 25 °C) | odor | odorless | mild | fruity | odorless |
| magnesium oxide | propyl acetate | water | (C4H9COO)2Mg molar mass | 40.304 g/mol | 102.13 g/mol | 18.015 g/mol | 226.55 g/mol phase | solid (at STP) | liquid (at STP) | liquid (at STP) | melting point | 2852 °C | -95 °C | 0 °C | boiling point | 3600 °C | 102 °C | 99.9839 °C | density | 3.58 g/cm^3 | 0.888 g/cm^3 | 1 g/cm^3 | surface tension | | 0.0243 N/m | 0.0728 N/m | dynamic viscosity | | 5.44×10^-4 Pa s (at 25 °C) | 8.9×10^-4 Pa s (at 25 °C) | odor | odorless | mild | fruity | odorless |

Units

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