JEE PYQ: Thermodynamics Question 40
Question 40 - 2019 (12 Jan Shift 2)
For a diatomic ideal gas in a closed system, which of the following plots does not correctly describe the relation between various thermodynamic quantities?
(1) $C_P$ vs P — should be constant but shown varying
(2) U vs T — linear increasing
(3) $C_V$ vs T — constant
(4) $C_V$ vs V — constant
Show Answer
Answer: (1)
Solution
For ideal gas, $C_P$ and $C_V$ are dependent on temperature only. $C_P = \dfrac{7}{2}R$ (Independent of $P$). $C_V = \dfrac{5}{2}R$ (Independent of $V$). Thus, $C_P$ will not change with pressure.