Input interpretation
sulfuric acid + potassium permanganate ⟶ water + potassium sulfate + manganese(VII) oxide
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 + c_5 Set the number of atoms in the reactants equal to the number of atoms in the products for H, O, S, K and Mn: H: | 2 c_1 = 2 c_3 O: | 4 c_1 + 4 c_2 = c_3 + 4 c_4 + 7 c_5 S: | c_1 = c_4 K: | c_2 = 2 c_4 Mn: | c_2 = 2 c_5 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 c_5 = 1 Substitute the coefficients into the chemical reaction to obtain the balanced equation: Answer: | | + 2 ⟶ + +
Structures
+ ⟶ + +
Names
sulfuric acid + potassium permanganate ⟶ water + potassium sulfate + manganese(VII) oxide
Chemical names and formulas
| sulfuric acid | potassium permanganate | water | potassium sulfate | manganese(VII) oxide Hill formula | H_2O_4S | KMnO_4 | H_2O | K_2O_4S | Mn_2O_7 name | sulfuric acid | potassium permanganate | water | potassium sulfate | manganese(VII) oxide IUPAC name | sulfuric acid | potassium permanganate | water | dipotassium sulfate |
Substance properties
| sulfuric acid | potassium permanganate | water | potassium sulfate | manganese(VII) oxide molar mass | 98.07 g/mol | 158.03 g/mol | 18.015 g/mol | 174.25 g/mol | 221.87 g/mol phase | liquid (at STP) | solid (at STP) | liquid (at STP) | | melting point | 10.371 °C | 240 °C | 0 °C | | 5.9 °C boiling point | 279.6 °C | | 99.9839 °C | | density | 1.8305 g/cm^3 | 1 g/cm^3 | 1 g/cm^3 | | 2.4 g/cm^3 solubility in water | very soluble | | | soluble | soluble surface tension | 0.0735 N/m | | 0.0728 N/m | | dynamic viscosity | 0.021 Pa s (at 25 °C) | | 8.9×10^-4 Pa s (at 25 °C) | | odor | odorless | odorless | odorless | |
Units
