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The first law of thermodynamics is sometimes whimsically stated as, "You can't get something for nothing," and the second law as, "You can't even break even." Explain how these statements could be equivalent to the formal statements.
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VerifiedThe first statement, “You can’t get something for nothing,” is a whimsical way of saying that energy is conserved. For instance, one way to write the 1st law is . This says that work done by a system must have a source – either heat is input to the system or the internal energy of the system is lowered. It “costs” energy – either heat energy or internal energy – to get work done. Another way to say this is that no heat engine can be built which puts out more energy in the form of work than it extracts in the form of heat or internal energy. The second statement, “You can’t even break even,” reflects the fact that a consequence of the 2nd law is that there is no heat engine that is 100% efficient. Even though the 1st law is satisfied by an engine that takes in 100 J of heat and outputs 100 J of work, the 2nd law says that is impossible. If 100 J of heat were taken in, less than 100 J of work can be output from the heat engine, even if it is an ideal heat engine. Some energy will be “lost” as exhaust energy.
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