1: Derive the two Tds relations from the energy balance. a. The first Tds relation and the second Tds relation. b. Derive the entropy change between two states 1 and 2 for solids in terms of the specific heat. c. For an isentropic process, derive the relationship between temperatures of the two states for solid. d. What are the entropy changes from the Tds relations if ideal gases are considered? e. Write down the entropy changes when constant specific heats are used.

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Entropy

In physics, entropy means the amount of disorder or the degree of randomness associated with a thermodynamic system. The system is not self-organized when the entropy of the system is high. For instance, when a system is at an elevated temperature, its molecules are in random motion, vibrating and colliding with each other. During this scenario, the probability of finding a molecule at a particular place twice, is low. Under this circumstance, the system can be said to be in a high entropy.