Yes - it is correct. That is why a violation of the 2nd law has never been observed.
Entropy is closely related to the 2nd law of thermodynamics, not the 1st law. The 1st law of thermodynamics states that energy cannot be created or destroyed, only transferred or converted. Entropy, on the other hand, is a measure of the disorder or randomness of a system, which increases over time according to the 2nd law of thermodynamics.
The Second Law of Thermodynamics.
The second law of thermodynamics states essentially that it is impossible for heat to flow from a cooler body to a hotter one, without the performance of work by an external agency. I'm not sure how this relates to your wording of 'matter and energy'.
The second law of thermodynamics states that entropy in a closed system tends to increase over time, meaning that disorder and randomness will naturally increase. This has implications for time travel because reversing time would require decreasing entropy, which goes against this law. Therefore, the second law of thermodynamics suggests that time travel may not be feasible due to the increase in entropy that would occur.
Not exactly. The first law of thermodynamics, i.e. the law of conservation of energy, also accounts for heat as one of the many forms that energy can take. There is no one law called "the law of thermodynamics", but there are several "Laws of Thermodynamics" (note the plural form "LAWS").
The laws of thermodynamics govern energy transfer and transformation within a system, providing a framework to understand the behavior of matter and energy under different conditions.
Thermodynamic cycle is based on 2nd law of thermodynamics.
The 1st Law of thermodynamics is a restatement of the law of conservation of energy.
Magic
The first law of thermodynamics is also known as the Law of Energy Conservation.
"Unavailable for doing work" is related to the Second Law of Thermodynamics.
The fact that usable energy is always lost in an energy transfer is due to the second law of thermodynamics. This law states that entropy, or disorder, tends to increase over time in a closed system, leading to the loss of usable energy in the form of heat.