When i dissolve for example Triton X-100 in water, its CMC is 0.22 mM. So, i am wondering when i dissolve it in different solvent like DMSO, its CMC is also 0.22 mM or not ? if not, where I can find CMC in different solvents.
CMC depends on the solvent. For that you need to understand why micelle is formed in water at all. When the polarity of solvent decreases the CMC value will decrease. In non-polar solvent it might not form micelle at all. It will simply dissolve the surfactant. In presence of minute amount of water in non-polar solvent it will may reverse micelle in which the size of the micelle will depend on the water fraction present. Not only that, structure of micelle may also dependent on the solvent and the ionic strength of the medium. You might have to find CMC for each solvent. In this technical note they have discussed about the influence DMSO on SDS CMC
CMC definitely not the same if not aqueous. There may not be a CMC at all, since CMC depends on hydrophobic interactions. The literature in this area is not large, maybe something to start looking into?