about synthetic fuels through the Fischer Tropsch technology:

Please solve this question with energy balance.

You decided to run this reactor as an autothermal system. In order to do this, you need to feed a mixture of CH$4$ and O$2.$ First, run a combustion reaction to produce CO$2$ and H$2$O and unburned methane, which are then fed to a second reforming reactor to produce syngas. The combustion energy in the first part will be used to drive the reforming reaction in the second part. In order to maintain the minimum $800\backslash$deg C in this reactor, how much oxygen is needed in the first reactor? Your throughput is still $100$ standard m$3$ reformate$/$h$.$