Question:
For one mole of an ideal gas, which of these statements must be true?
(a) $\mathrm{U}$ and $\mathrm{H}$ each depends only on temperature
(b) Compressibility factor $z$ is not equal to 1
(c) $\mathrm{C}_{\mathrm{P}, \mathrm{m}}-\mathrm{C}_{\mathrm{V}, \mathrm{m}}=\mathrm{R}$
(d) $\mathrm{dU}=\mathrm{C}_{\mathrm{V}} \mathrm{dT}$ for any process
Correct Option: , 4
Solution:
(a) For ideal gas $\mathrm{U}$ and $\mathrm{H}$ are function of temperature.
(b) Compressibility factor for an ideal gas is $1 .$
(c) $\mathrm{C}_{\mathrm{P}}-\mathrm{C}_{\mathrm{V}}=\mathrm{R}$
(d) $\Delta \mathrm{U}=\mathrm{CvdT}$ for all processes.