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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.


Learning Progress: Step 40 of 40 in this series