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Consider an ideal monatomic gas. Here, take N as constant. We can take any two arguments like (p, V) or (E, V) or (p, T) and use them as variables representing the macro state. Using E = 3 / 2Nk (B) T for a monatomic ideal gas: A) Take (E, V) as macroscopic variables and express dW and dQ in terms of these variables ( Find the dV expressions). B) Check that dW and dQ are not full differentials. Prove that dQ / T is the exact differential. C) Repeat the above process, taking (p, T) as macroscopic variables.

Consider an ideal monatomic gas. Here, take N as constant. We can take any two arguments like (p, V) or (E, V) or (p, T) and use them as variables representing the macro state. Using E = 3 / 2Nk (B) T for a monatomic ideal gas: A) Take (E, V) as macroscopic variables and express dW and dQ in terms of these variables ( Find the dV expressions). B) Check that dW and dQ are not full differentials. Prove that dQ / T is the exact differential. C) Repeat the above process, taking (p, T) as macroscopic variables.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Consider an ideal monatomic gas. Here, take N as constant. We can take any two arguments like (p, V) or (E, V) or (p, T) and use them as variables representing the macro state. Using E = 3 / 2Nk (B) T for a monatomic ideal gas:

A) Take (E, V) as macroscopic variables and express dW and dQ in terms of these variables ( Find the dV expressions).

B) Check that dW and dQ are not full differentials. Prove that dQ / T is the exact differential.

C) Repeat the above process, taking (p, T) as macroscopic variables.

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