For one mole of an ideal gas, which of these statements must be true?
(a) Internal energy $( U )$ and enthalpy $( H )$ each depends on temperature.
(b) Compressibility factor $Z$ is not equal to 1
(c) ${C}_{P, m} – {C}_{V, m} = R$
(d) $dU = {C}_{v}dT$ for any process

Question

For one mole of an ideal gas, which of these statements must be true?
(a) Internal energy

( U )

and enthalpy

( H )

each depends on temperature.
(b) Compressibility factor

Z

is not equal to 1
(c)

{C}_{P, m} – {C}_{V, m} = R

(d)

dU = {C}_{v}dT

for any process

Quantrex Academy · Accepted Answer

Correct answer: D. (a), (c) and (d)

(a) For ideal gas, U and H are functions of temperature U = (f)/(2)RT where f is total degree of freedom. (b) Compressibility factor (Z) is equal to 1 for ideal gas. (c) C _ P, m - C _ V, m = R (d) Δ U = C _ v dT for all processes

For one mole of an ideal gas, which of these statements must be...

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