They all use nuclear fission
They're mostly the same, except that nuclear reactors aimed at breeding more fissile material use expensive primary coolant instead of cheap water.
Nuclear energy is released when U-235 undergoes fission, and that takes place in nuclear reactors (or nuclear weapons). So a reactor is a thing constructed to produce nuclear energy.
yes. If they ever perfect hydrogen fusion reactors, then maybe someone will have to come up with a clearer description, but until now, they are the same.
Yes, it generally is but a nuclear plant could refer to nuclear reactors which are basically the things that produce the power. So in essence, yes, a nuclear plant is the same thing as a nuclear power station
Nuclear reactors are fairly accurately displayed on television, though it depends on the show, sometimes they are way over exagerated.
No. The sun produces energy by fusion. It is joining hydrogen atoms into larger helium atoms, which releases energy. Man-made nuclear reactors produce energy by fission. They break large atoms into smaller atoms, which also releases energy.
One uranium fuel pellet about the size of a thimble can generate the same amount of energy as roughly one ton of coal.
Uranium (as metal, dioxide, carbide, etc.) is the nuclear fuel for nuclear power reactors; plutonium is obtained also from uranium 238 and thorium 232 generate uranium 233.
All thermal reactors, that is those using a moderator to slow down the fission neutrons, use the same reaction. In the US all commercial reactors (104 of them) are either PWR or BWR types.
The graphite used in graphite moderated nuclear reactors is produced in the same type of electrical furnace as is used to produce ordinary graphite, except there must be no boron in any part of the furnace.
Nuclear reactors vary in size the same way any engine does. On the small size, they could produce tens of kilowatts. On the large side they can produce gigawatts. Commercial nuclear reactors that provide power to electrical grids produce about half a gigawatt to about one and a half gigawatts. They do not produce power continuously, even if there are no problems. They have to be shut down periodically for refueling.
I don't know of any such arrangement. Medical isotopes are produced in small research type reactors where samples can be introduced into the neutron flux in reentrant tubes (commonly called thimbles) and irradiated, then quickly removed and used. Large commercial power reactors don't have these facilities.