Input interpretation
aluminum + manganese dioxide ⟶ aluminum oxide + manganese
Balanced equation
Balance the chemical equation algebraically: + ⟶ + Add stoichiometric coefficients, c_i, to the reactants and products: c_1 + c_2 ⟶ c_3 + c_4 Set the number of atoms in the reactants equal to the number of atoms in the products for Al, Mn and O: Al: | c_1 = 2 c_3 Mn: | c_2 = c_4 O: | 2 c_2 = 3 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_3 = 1 and solve the system of equations for the remaining coefficients: c_1 = 2 c_2 = 3/2 c_3 = 1 c_4 = 3/2 Multiply by the least common denominator, 2, to eliminate fractional coefficients: c_1 = 4 c_2 = 3 c_3 = 2 c_4 = 3 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | 4 + 3 ⟶ 2 + 3
Structures
+ ⟶ +
Names
aluminum + manganese dioxide ⟶ aluminum oxide + manganese
Reaction thermodynamics
Enthalpy
| aluminum | manganese dioxide | aluminum oxide | manganese molecular enthalpy | 0 kJ/mol | -520 kJ/mol | -1676 kJ/mol | 0 kJ/mol total enthalpy | 0 kJ/mol | -1560 kJ/mol | -3352 kJ/mol | 0 kJ/mol | H_initial = -1560 kJ/mol | | H_final = -3352 kJ/mol | ΔH_rxn^0 | -3352 kJ/mol - -1560 kJ/mol = -1792 kJ/mol (exothermic) | | |
Entropy
| aluminum | manganese dioxide | aluminum oxide | manganese molecular entropy | 28.3 J/(mol K) | 53 J/(mol K) | 51 J/(mol K) | 32 J/(mol K) total entropy | 113.2 J/(mol K) | 159 J/(mol K) | 102 J/(mol K) | 96 J/(mol K) | S_initial = 272.2 J/(mol K) | | S_final = 198 J/(mol K) | ΔS_rxn^0 | 198 J/(mol K) - 272.2 J/(mol K) = -74.2 J/(mol K) (exoentropic) | | |
Chemical names and formulas
| aluminum | manganese dioxide | aluminum oxide | manganese Hill formula | Al | MnO_2 | Al_2O_3 | Mn name | aluminum | manganese dioxide | aluminum oxide | manganese IUPAC name | aluminum | dioxomanganese | dialuminum;oxygen(2-) | manganese
Substance properties
| aluminum | manganese dioxide | aluminum oxide | manganese molar mass | 26.9815385 g/mol | 86.936 g/mol | 101.96 g/mol | 54.938044 g/mol phase | solid (at STP) | solid (at STP) | solid (at STP) | solid (at STP) melting point | 660.4 °C | 535 °C | 2040 °C | 1244 °C boiling point | 2460 °C | | | 1962 °C density | 2.7 g/cm^3 | 5.03 g/cm^3 | | 7.3 g/cm^3 solubility in water | insoluble | insoluble | | insoluble surface tension | 0.817 N/m | | | dynamic viscosity | 1.5×10^-4 Pa s (at 760 °C) | | | odor | odorless | | odorless |
Units
