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For one mole of an ideal gas, which of these statements must be true? (a) U and H each depends only on temperature. (b) Compressibility factor z is not equal to 1 (c) \mathrm{C_{p,m}-C_{v,m}=R} (d) \mathrm{dU=C_{V}dT} for any process
Option: 1 (a) and (c)
Option: 2 (b), (C) and (d)
Option: 3 (c) and (d)
Option: 4 (a), (c) and (d)

Answers (1)

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For ideal gas
U = f(T), H = f(T)
Z = 1   (Compressibility factor z is equal to 1)
Cp – Cv = R
dU = CvdT

So, a, c, and d are correct 

Therefore, the correct option is (4).

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Kuldeep Maurya

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