Question

Heat Capacity of a Gas at Constant Pressure A system comprised of 5.500x101 g of Ar(g) cools from 165.0°C to 30.0°C at a constant pressure of 3.0 atm. The molar heat capacity at constant pressure for Ar(g) is 20.80 J K-1 mol-1. Calculate q. 1pts Submit Answer Tries 0/5 Calculate w 1pts Submit Answer Tries 0/5 Calculate ΔΕ. 1 pts Submit Answer Tries 0/5 Calculate ΔΗ. 1pts Submit Answer Tries 0/5

Answer 1

Here He asume Ar gas behaves ldcally pv=nRT Ini tHally P3.0 atm MRT (tCs+273k 47-8 K Rz0.082 Lam molk here nmumber n= Height a Ar gastco maleaular weigt a-AY 5.5 60 x 16 9 ptida 40 % mot 37.5na mol 137.5X 0.082 L atm met-i kl 13 k = 1646.15 L 3.0 atm

Here we assume the Ar gas as ideal gas.

N at aonstant bresre, V2 T30c Th = B0+273) N,XT2 303K Ti 478K IC46.15 LX 303 K 478 K 10 43. 48 L rocerding to te JA lau a thesmadnamier = du+ - PlNe-V) 3.6 atm 1043.48- 16AC. 5) L 1808 L-atm 1868x 161.37 -183-18 K 103 101-3 J W183-15x I63 dunevdT U-E-intesnal energy AE=DU n@ydt Here Cp le molar heat aapaeity at constant premure Cp= 20.803 k-1 mor tor ideal go, Cp- er= R .ey Cp-R -(20.30-831)K1m 12.48C3K1mmo11

AT neydr neitr T 0, DE 137.5 mat x 12.18C Jkmo4 303-418) K =200.1X 103 AH=nCpdr neplta T) 31.5 mel x20.g0kmo x (363-478)K 500-3x 16T 9= du+W F 3004x 10t (183.5 x103) 433.9x 103 1-0 v2rU DE=300.4 X103 J 500-5 x t03 J DH