Al + V2O5 = Al2O3 + V

Al (aluminum) + V_2O_5 (vanadium pentoxide) ⟶ Al_2O_3 (aluminum oxide) + V (vanadium)

Balance the chemical equation algebraically: Al + V_2O_5 ⟶ Al_2O_3 + V Add stoichiometric coefficients, c_i, to the reactants and products: c_1 Al + c_2 V_2O_5 ⟶ c_3 Al_2O_3 + c_4 V Set the number of atoms in the reactants equal to the number of atoms in the products for Al, O and V: Al: | c_1 = 2 c_3 O: | 5 c_2 = 3 c_3 V: | 2 c_2 = 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_2 = 1 and solve the system of equations for the remaining coefficients: c_1 = 10/3 c_2 = 1 c_3 = 5/3 c_4 = 2 Multiply by the least common denominator, 3, to eliminate fractional coefficients: c_1 = 10 c_2 = 3 c_3 = 5 c_4 = 6 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 10 Al + 3 V_2O_5 ⟶ 5 Al_2O_3 + 6 V

+ ⟶ +

aluminum + vanadium pentoxide ⟶ aluminum oxide + vanadium

| aluminum | vanadium pentoxide | aluminum oxide | vanadium molecular enthalpy | 0 kJ/mol | -1551 kJ/mol | -1676 kJ/mol | 0 kJ/mol total enthalpy | 0 kJ/mol | -4652 kJ/mol | -8380 kJ/mol | 0 kJ/mol | H_initial = -4652 kJ/mol | | H_final = -8380 kJ/mol | ΔH_rxn^0 | -8380 kJ/mol - -4652 kJ/mol = -3728 kJ/mol (exothermic) | | |

K_c = ([Al2O3]^5 [V]^6)/([Al]^10 [V2O5]^3)

rate = -1/10 (Δ[Al])/(Δt) = -1/3 (Δ[V2O5])/(Δt) = 1/5 (Δ[Al2O3])/(Δt) = 1/6 (Δ[V])/(Δt) (assuming constant volume and no accumulation of intermediates or side products)

| aluminum | vanadium pentoxide | aluminum oxide | vanadium formula | Al | V_2O_5 | Al_2O_3 | V Hill formula | Al | O_5V_2 | Al_2O_3 | V name | aluminum | vanadium pentoxide | aluminum oxide | vanadium IUPAC name | aluminum | | dialuminum;oxygen(2-) | vanadium

| aluminum | vanadium pentoxide | aluminum oxide | vanadium molar mass | 26.9815385 g/mol | 181.88 g/mol | 101.96 g/mol | 50.9415 g/mol phase | solid (at STP) | solid (at STP) | solid (at STP) | solid (at STP) melting point | 660.4 °C | 690 °C | 2040 °C | 1890 °C boiling point | 2460 °C | 1750 °C | | 3380 °C density | 2.7 g/cm^3 | 3.35 g/cm^3 | | 6.11 g/cm^3 solubility in water | insoluble | | | insoluble surface tension | 0.817 N/m | | | dynamic viscosity | 1.5×10^-4 Pa s (at 760 °C) | | | odor | odorless | | odorless |