Entropy is a measure of the energy that is unavailable to do work. Black holes have a high amount of energy concentrated in one area due to their singularity and intense gravity. This means that within the system, there is a low amount of usable energy and therefore high entropy. 

Black holes increase their entropy more than the decrease in entropy of the object that was swallowed. The entropy of the radiation evaporated by a black hole into vacuum is approximately 4/3 times the initial entropy of the black hole. 

Black holes do not violate the second law of thermodynamics. However, black holes do introduce new aspects about how these laws work

The increase of the entropy of the black hole more than compensates for the decrease of the entropy carried by the object that was swallowed. In 1972, Jacob Bekenstein conjectured that black holes should have an entropy, where by the same year, he proposed no-hair theorems.

The entropy of a black hole is proportional to the area of its event horizon. The event horizon is the area around the black hole beyond which nothing can escape. The event horizon’s area is proportional to the square of the black hole’s mass. 

The entropy of a black hole is finite and is equal to c 3 A / 4 G ℏ , where A is the surface area of the event horizon. For example, a one-solar mass Schwarzschild black hole has an horizon area of the same order as the municipal area of Atlanta or Chicago. Its entropy is about 4\times 10^{77}\ , which is about twenty orders of magnitude larger than the thermodynamic entropy of the sun. 

The Bekenstein-Hawking entropy is the amount of entropy that must be assigned to a black hole in order for it to comply with the laws of thermodynamics as they are interpreted by observers external to that black hole.( source google)

Black holes cannot have zero entropybecause entropy cannot simply vanish. The second law of thermodynamics requires that black holes have entropy. If black holes carried no entropy, it would be possible to violate the second law by throwing mass into the black hole. 

However, when mass enters the gravitational singularity (center of black hole), entropy is zero as space-time is at a standstill in a stable black hole. 

The third law of black hole thermodynamics states that “extreme” black holes (those with a maximum possible rotation or charge) would have minimum entropy. This means that it would never be possible to form an extreme black hole.

Black holes do not violate the first or second law of thermodynamics.However, they do violate the third law of thermodynamics in its standard formulation. 

Black holes do violate the third law of thermodynamics because Schwarzschild black hole entropy is inversely proportional to the square of the temperature. When the temperature goes to zero, the entropy tends to infinity rather than zero. 

Black holes do not violate the first law of thermodynamics because when a black hole absorbs matter, it is not destroying that mass, thereby destroying energy. 

Black holes do not violate the law of conservation of energy because mass is a type of energy and can be converted into other types. ( source google)

Black holes convert mass to energy through a process called accretion. Accretion is the most efficient process for emitting energy from matter in the universe. It can release up to 40% of the rest mass energy of the material falling in. 

How accretion works 

1. Mass falling towards a black hole can form an accretion disk, which is like a whirlpool of matter orbiting a black hole. 
2. Friction in the accretion disk heats up the matter and makes it radiate. 
3. The lower the mass of a black hole, the higher the energy of the emitted Hawking radiation. 
4. As a black hole radiates, its mass decreases, and it starts emitting more and more radiation, causing it to evaporate more and more rapidly. 

Black holes are not very efficient as an energy source. The amount of energy they emit as a ratio of the amount of matter and energy they absorb is very low.

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