I was thinking about the following thought experiment, but wasn't sure about what theits outcome would be.
Suppose there is a black-hole and I plan to enter it with a partitioned box containing two different gases on both sides of the boxeither side. After passing, the event horizon the radius of a black-hole increases as I added mass to the system (?). Now after I pass the event horizon, I open the partitioned box thereby increasing the entropy of the system. Will the area of the black hole also increase? If so, will the radius also increase and wasn't? (Isn't the radius only proportional to the mass of the black-hole?)