Match the thermodynamic processes given under Column I with the expressions given under Column II. Column I Column II A. Freezing of water at 273 K and 1 atm P. q = 0 B. Expansion of 1 mol of an ideal gas into a vacuum under isolated conditions Q. w = 0 C. Mixing of equal volumes of two ideal…

Question

Match the thermodynamic processes given under Column I with the expressions given under Column II. Column I Column II A. Freezing of water at 273 K and 1 atm P. q = 0 B. Expansion of 1 mol of an ideal gas into a vacuum under isolated conditions Q. w = 0 C. Mixing of equal volumes of two ideal gases at constant temperature and pressure in an isolated container R. &#916; S s y s &#60; 0 D. Reversible heating of H 2 ( g ) at 1 atm from 300 K to 600 K, followed by reversible cooling to 300 K at 1 atm S. &#916; U = 0 T. &#916; G = 0

Aicharya · Accepted Answer

A - H 2 O ( l ) → H 2 O ( s ) at 273 K. & 1 atm ∆ H = - v e = q ∆ S s y s < 0 , ∆ G = 0 w ≠ 0 (as water expands on freezing), ∆ U ≠ 0 B - Free expansion of ideal gas. q = 0 w = 0 ∆ U = 0 ∆ S s y s > 0 ∆ G < 0 C - Mixing of equal volume of ideal gases at constant pressure & temp in an isolated container q = 0, w = 0, ∆ U = 0 , ∆ S s y s > 0 , ∆ G < 0 D - H 2 g 300 K R e v e r s i b l e ⟶ H e a t i n g , 1 a t m 600 K R e v e r s i b l e ⟶ C o o l i n g , 1 a t m 300 K q = 0 , w = 0 , ∆ U = 0 , ∆ G = 0 , ∆ S s y s = 0

Match the thermodynamic processes given under Column I with the expressions given under Column II. Column I…

Solution

	Column I		Column II
A.	Freezing of water at 273 K and 1 atm	P.	$q = 0$
B.	Expansion of 1 mol of an ideal gas into a vacuum under isolated conditions	Q.	$w = 0$
C.	Mixing of equal volumes of two ideal gases at constant temperature and pressure in an isolated container	R.	$Δ S_{s y s} < 0$
D.	Reversible heating of $H_{2} (g)$ at 1 atm from 300 K to 600 K, followed by reversible cooling to 300 K at 1 atm	S.	$Δ U = 0$
		T.	$Δ G = 0$