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 (ie, dW = (...) dE + (...) dV and dQ = (...) dE + (. ..) 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 procedure, 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 (ie, dW = (...) dE + (...) dV and dQ = (...) dE + (. ..) 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 procedure, taking (p, T) as macroscopic variables.
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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 (ie, dW = (...) dE + (...) dV and dQ = (...) dE + (. ..) 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 procedure, taking (p, T) as macroscopic variables.
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