MgOH2 = H2O + Mg

MgOH2 ⟶ H_2O water + Mg magnesium

Balance the chemical equation algebraically: MgOH2 ⟶ H_2O + Mg Add stoichiometric coefficients, c_i, to the reactants and products: c_1 MgOH2 ⟶ c_2 H_2O + c_3 Mg Set the number of atoms in the reactants equal to the number of atoms in the products for Mg, O and H: Mg: | c_1 = c_3 O: | c_1 = c_2 H: | 2 c_1 = 2 c_2 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: | | MgOH2 ⟶ H_2O + Mg

MgOH2 ⟶ +

MgOH2 ⟶ water + magnesium

Construct the equilibrium constant, K, expression for: MgOH2 ⟶ H_2O + Mg 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: MgOH2 ⟶ H_2O + Mg 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 MgOH2 | 1 | -1 H_2O | 1 | 1 Mg | 1 | 1 Assemble the activity expressions accounting for the state of matter and ν_i: chemical species | c_i | ν_i | activity expression MgOH2 | 1 | -1 | ([MgOH2])^(-1) H_2O | 1 | 1 | [H2O] Mg | 1 | 1 | [Mg] 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 = ([MgOH2])^(-1) [H2O] [Mg] = ([H2O] [Mg])/([MgOH2])

Construct the rate of reaction expression for: MgOH2 ⟶ H_2O + Mg 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: MgOH2 ⟶ H_2O + Mg 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 MgOH2 | 1 | -1 H_2O | 1 | 1 Mg | 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 MgOH2 | 1 | -1 | -(Δ[MgOH2])/(Δt) H_2O | 1 | 1 | (Δ[H2O])/(Δt) Mg | 1 | 1 | (Δ[Mg])/(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[MgOH2])/(Δt) = (Δ[H2O])/(Δt) = (Δ[Mg])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)

| MgOH2 | water | magnesium formula | MgOH2 | H_2O | Mg Hill formula | H2MgO | H_2O | Mg name | | water | magnesium

| MgOH2 | water | magnesium molar mass | 42.32 g/mol | 18.015 g/mol | 24.305 g/mol phase | | liquid (at STP) | solid (at STP) melting point | | 0 °C | 648 °C boiling point | | 99.9839 °C | 1090 °C density | | 1 g/cm^3 | 1.738 g/cm^3 solubility in water | | | reacts surface tension | | 0.0728 N/m | dynamic viscosity | | 8.9×10^-4 Pa s (at 25 °C) | odor | | odorless |