Approaches for producing fuel from a carbon-containing feedstock are described. Feedstock is introduced into a substantially microwave-transparent reaction chamber. A microwave source emits microwaves which are directed through the microwave-transparent wall of the reaction chamber to impinge on the feedstock within the reaction chamber. The microwave source may be rotated relative to the reaction chamber. The feedstock is subjected to microwaves until the desired reaction occurs to produce a fuel. A catalyst can be mixed with the feedstock to enhance the reaction process.