Is carbon capture theoretically viable from a thermodynamic viewpoint with all externalities accounted for? That is to say - can I burn 1 litre of oil in order

Is carbon capture theoretically viable from a thermodynamic viewpoint with all externalities accounted for? That is to say - can I burn 1 litre of oil in order to capture more than the emissions of 1 litre of oil (without cheating and boxing it at the point of emission), can I use the lifetime energy produced by a 1sqm solar panel to capture the emissions required in the process of creating a 1sqm solar panel? Including creation and maintenance of whatever apparatus is required to capture the carbon. It seems to me as if the arguments all focus on money when what really matters is something more akin to an energy return on energy invested calculation.