A fuel cell using a neat alcohol such as neat 2-propanol, as its fuel is described. The fuel that is purposely not mixed with any amount of water is oxidized directly at the fuel cell anode. The fuel cell can support a higher current density than a fuel cell using 1 M 2-propanol aqueous solution. The energy density of a fuel cell using a neat fuel is much higher than that of one using dilute fuel aqueous solutions.