Potassium permanganate and hexane do not react because hexane is an alkane and therefore has no double bonds. Hexene on the other hand is an alkene and can indeed react with potassium permanganate.
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The reaction between hexane and potassium permanganate is a combustion reaction that produces carbon dioxide and water as products. The balanced equation is C6H14 + 19/7 KMnO4 → 6 CO2 + 14 H2O + 19/7 MnO2 + K2MnO4.
Hexane will not react with concentrated potassium permanganate even at temperatures over 100 deg. C and at pH values below 1.0. The two compounds may react under very extreme conditions such as at temperatures over 300 deg. C and at pressures over 100 atm. I don't know for sure, although I doubt a reaction would occur even under such harsh conditions. Alkanes, like hexane, are generally inert to nearly all compounds. A radical is normally required to get an alkane to react, therefore hexane will react with species such as a chlorine atom (Cl•) or a peroxide radical (ROO•).
I wanted to make sure that you did not mean "hexene" instead of "hexane." Even cold, dilute permanganate will easily react with hexene. The product(s) from a hexene and permanganate reaction is (are) sensitive to, and depend(s) on, the pH, the reaction temperature, and the permanganate concentration. A hot, concentrated and acidic permanganate solution will convert hexene into at least one carboxylic acid. Each of the two carbons that form the double bond in hexene would be oxidized to a -COOH group. Thus, each molecule of 3-hexene would form two molecules of butanoic acid. The other two possible hexenes, 1-hexene and 2-hexene, would be converted into two different carboxylic acids. (4-hexene is the same molecule as 2-hexene and 4-hexene is also not the correct name of the compound.)
Another test to differentiate between hexane and hexene is performing a reaction with potassium permanganate in acidic conditions. Hexane will not react with potassium permanganate, while hexene will undergo a color change as the double bond is oxidized by the permanganate ion.
Hexane is more flammable than potassium sulfate. Hexane is a highly flammable liquid that can easily ignite when exposed to a flame or spark, while potassium sulfate is a solid compound that is not flammable under typical conditions.
The balanced decomposition chemical equation for hexane (C6H14) is: 2C6H14 → 6C + 7H2
The observation in the reaction of hexane with bromine water is that the color of bromine water changes from orange to colorless as the bromine is being added to the hexane. This indicates that a reaction between hexane and bromine is taking place, forming a colorless product.
To find the boiling point of hexane at 1.5 ATM, you can use the Clausius-Clapeyron equation, which relates temperature and pressure to the enthalpy of vaporization. By knowing the normal boiling point of hexane and its enthalpy of vaporization, you can calculate the boiling point at 1.5 ATM.