The film on supercapacitors is made using carbon material(graphene), conductive carbon or carbon black, PVDF. Can carbon nanotubes replace conductive carbon (carbon black)?
I think no, because you want to use graphene as an active material for supercapacitor application, if you are using cnt with graphene , then it would be composite rather than only graphene.
Moreover, there is a recent trend to develop binder free supercapacitor , please try this new concept.
Yes they can, but it entirely depends on your application. They offer a great platform to perform further functionalisation, for example: allowing the grafting of redox-active molecules to provide pseudo-capacitance or for the immobilisation of mediators to create biofuel cell supercapacitor hybrids.
Furthermore, the introduction of CNTs can provide mechanical benefits and in some cases provide improved porosity to the carbon black network (providing better access for the electrolyte, improving the EDL capacitance), this can greatly alter their charge-discharge rate performance.