Match Column I (Differential of U) with Column II (System)
Column I
Column II
P) dU = nC_V,mdT
i) Ideal gas
Q) dU = nC_V,mdT + (n²a)/(V²)dV
ii) van der Waals gas
R) dU = (n²a)/(V²)dV
iii) van der Waals gas, isothermal process
S) dU = 0 while dV ≠ 0
iv) Ideal gas, isothermal process

Question

Match Column I (Differential of U) with Column II (System)

Column I	Column II
P) dU = nC_V,mdT	i) Ideal gas
Q) dU = nC_V,mdT + (n²a)/(V²)dV	ii) van der Waals gas
R) dU = (n²a)/(V²)dV	iii) van der Waals gas, isothermal process
S) dU = 0 while dV ≠ 0	iv) Ideal gas, isothermal process

TestHub · Accepted Answer

An ideal gas has U depending only on T (P – i). A van der Waals gas adds the attraction term n 2 a/V 2 (Q – ii); at constant T only that term survives (R – iii). An ideal gas at constant T has dU = 0 even when V changes (S – iv).

Chemistry - Thermodynamics - I Question with Solution | TestHub

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