1.9. Making use of the fact that the entropy S(N, V. E) of a thermodynamic system is an extensive quantity, show that as ~)+()+C).- +V av N.E N as ƏN V.E as E JEN.V = S.
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- The principle of increasing entropy Entropy principle: "For all irreversible processes, the change in entropy of the universe is positive." To prove the principle can be taken the case of reversible adibatic process. AS = Sf - Si Prove that the entropy of the universe is positive: E4S 2 0H4(a) What is the unit of "specific entropy"? Is it an extensive property? (b) What is an isentropic process? Please give an example. (c) Explain the increase of entropy principle. (d) The entropy of a hot baked pizza decreases as it cools. Is this a violation of the increase of entropy principle? Explain.
- For a dilute gas of N monatomic particles with mass m and total energy E, use the Sackur- Tetrode equation for the entropy S V = log + NkB to derive expressions for the pressure and internal energy in terms of the temperature T and volume V. [You may use that X₁ = 3πh² N/(mE).] th2Suppose that 10 distinguishable particles are equipartitioned in a container that has 100 equal-sized compartments. What is the entropy on this system?