MgCO3 = CO2 + MgO

MgCO_3 (magnesium carbonate) ⟶ CO_2 (carbon dioxide) + MgO (magnesium oxide)

Balance the chemical equation algebraically: MgCO_3 ⟶ CO_2 + MgO Add stoichiometric coefficients, c_i, to the reactants and products: c_1 MgCO_3 ⟶ c_2 CO_2 + c_3 MgO Set the number of atoms in the reactants equal to the number of atoms in the products for C, Mg and O: C: | c_1 = c_2 Mg: | c_1 = c_3 O: | 3 c_1 = 2 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 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | MgCO_3 ⟶ CO_2 + MgO

⟶ +

magnesium carbonate ⟶ carbon dioxide + magnesium oxide

Construct the equilibrium constant, K, expression for: MgCO_3 ⟶ CO_2 + MgO 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: MgCO_3 ⟶ CO_2 + MgO 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 MgCO_3 | 1 | -1 CO_2 | 1 | 1 MgO | 1 | 1 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression MgCO_3 | 1 | -1 | ([MgCO3])^(-1) CO_2 | 1 | 1 | [CO2] MgO | 1 | 1 | [MgO] 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 = ([MgCO3])^(-1) [CO2] [MgO] = ([CO2] [MgO])/([MgCO3])

Construct the rate of reaction expression for: MgCO_3 ⟶ CO_2 + MgO 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: MgCO_3 ⟶ CO_2 + MgO 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 MgCO_3 | 1 | -1 CO_2 | 1 | 1 MgO | 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 MgCO_3 | 1 | -1 | -(Δ[MgCO3])/(Δt) CO_2 | 1 | 1 | (Δ[CO2])/(Δt) MgO | 1 | 1 | (Δ[MgO])/(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[MgCO3])/(Δt) = (Δ[CO2])/(Δt) = (Δ[MgO])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)

| magnesium carbonate | carbon dioxide | magnesium oxide formula | MgCO_3 | CO_2 | MgO Hill formula | CMgO_3 | CO_2 | MgO name | magnesium carbonate | carbon dioxide | magnesium oxide IUPAC name | magnesium carbonate | carbon dioxide | oxomagnesium

| magnesium carbonate | carbon dioxide | magnesium oxide molar mass | 84.313 g/mol | 44.009 g/mol | 40.304 g/mol phase | | gas (at STP) | solid (at STP) melting point | | -56.56 °C (at triple point) | 2852 °C boiling point | | -78.5 °C (at sublimation point) | 3600 °C density | | 0.00184212 g/cm^3 (at 20 °C) | 3.58 g/cm^3 dynamic viscosity | | 1.491×10^-5 Pa s (at 25 °C) | odor | | odorless | odorless