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Determine the entropy change in each of the following processes: 4a. One mole of an ideal gas is allowed to expand from a volume of 1.50 L to 15.0 L at 298 K. 4b. 10 grams of methanol vapor, initially at its normal boiling temperature of 337 K, is allowed to condense and cool to a liquid at a final temperature of 298 K.

Determine the entropy change in each of the following processes: 4a. One mole of an ideal gas is allowed to expand from a volume of 1.50 L to 15.0 L at 298 K. 4b. 10 grams of methanol vapor, initially at its normal boiling temperature of 337 K, is allowed to condense and cool to a liquid at a final temperature of 298 K.

Chemistry & Chemical Reactivity
Chemistry & Chemical Reactivity
10th Edition
ISBN:9781337399074
Author:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Chapter5: Principles Of Chemical Reactivity: Energy And Chemical Reactions
Section: Chapter Questions
Problem 35PS: Isooctane (2,2,4-trimethylpentane), one of the many hydrocarbons that make up gasoline, burns in air...
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Determine the entropy change in each of the following processes:

4a. One mole of an ideal gas is allowed to expand from a volume of 1.50 L to 15.0 L at 298 K.

4b. 10 grams of methanol vapor, initially at its normal boiling temperature of 337 K, is allowed to condense and cool to a liquid at a final temperature of 298 K.

 

Useful info NA = 6.022x103 mol g =9.807 m/s? P[H>O] =1.00 g/mL 1 bar = 10° Pa 1 atm =1.013bar R = 8.314 J/K-mol = 8.206x10? L-atm/K-mol = 8.206x10° m-atm/K-mol = 62.36 L-Tor/K-mol 1J = 10 L-bar = 9.870×10³ L-atm= 0.2390 cal 1m = 10° cm = 10° mm = 10° um = 10° nm = 101º A = 760 Torr 1 mbar = 10 bar RT = 2.478 kJ/mol for T = 298 K. (= 24.46 L-atm/mol) 1 L-atm = 101.3J 1 m = 10° L = 10° cm 1 kg = 1000 g 1 Watt (W) = 1 J/s Physical Properties of Selected Substances Cp.m J/(mol-K) J/(mol-K) kJ/mol 24.3 AH melting temp AHap boiling temp kJ/mol mol. wt. fas g/mol kJ/mol K K Al(s) CH,OH(I) CH;OH(g) H,(g) H;O(1) H,O(g) H,O(s) 1,(s) L(g) I(g) N2(g) Na(s) NaN,(s) 0:(g) Properties of pure phases are for standard conditions of 298 K and 1 atm. Phase transition enthalpies are valid at the indicated phase transition temperature, at 1 atm. 27.0 28.3 32.04 -238.66 81.6 3.16 175.2 35.29 337.2 32.04 -200.66 43.9 2.0 131.7 28.8 18.0 -285.8 69.9 75.3 6.0 273 40.6 373 18.0 -241.8 188.8 33.6 18.0 38.0 37.0 253.8 116.14 54.44 15.5 386.8 41.8 458.4 253.8 +62.44 260.69 36.90 126.9 +106.84 180.79 20.79 28.0 191.61 29.1 23.0 51.2 28.2 2.6 371 97.4 1156 65.0 +21.76 70.5 76.6 32.0 205.1 29.4 Integrals Maxwell relations n# -1 n+1 av as In z as P rp- 1 - In(az – b) as av T T Properties of Some Materials Density (293 K) g/cm KT 10-4 K-1 10-" bar C, graphite C, diamond Cu, solid Water, liquid 2.26 3 Euler chain rule 3.5 0.030 0.187 az 8.9 0.501 0.735 = -1 az 0.997 2.1 49.6
Transcribed Image Text:Useful info NA = 6.022x103 mol g =9.807 m/s? P[H>O] =1.00 g/mL 1 bar = 10° Pa 1 atm =1.013bar R = 8.314 J/K-mol = 8.206x10? L-atm/K-mol = 8.206x10° m-atm/K-mol = 62.36 L-Tor/K-mol 1J = 10 L-bar = 9.870×10³ L-atm= 0.2390 cal 1m = 10° cm = 10° mm = 10° um = 10° nm = 101º A = 760 Torr 1 mbar = 10 bar RT = 2.478 kJ/mol for T = 298 K. (= 24.46 L-atm/mol) 1 L-atm = 101.3J 1 m = 10° L = 10° cm 1 kg = 1000 g 1 Watt (W) = 1 J/s Physical Properties of Selected Substances Cp.m J/(mol-K) J/(mol-K) kJ/mol 24.3 AH melting temp AHap boiling temp kJ/mol mol. wt. fas g/mol kJ/mol K K Al(s) CH,OH(I) CH;OH(g) H,(g) H;O(1) H,O(g) H,O(s) 1,(s) L(g) I(g) N2(g) Na(s) NaN,(s) 0:(g) Properties of pure phases are for standard conditions of 298 K and 1 atm. Phase transition enthalpies are valid at the indicated phase transition temperature, at 1 atm. 27.0 28.3 32.04 -238.66 81.6 3.16 175.2 35.29 337.2 32.04 -200.66 43.9 2.0 131.7 28.8 18.0 -285.8 69.9 75.3 6.0 273 40.6 373 18.0 -241.8 188.8 33.6 18.0 38.0 37.0 253.8 116.14 54.44 15.5 386.8 41.8 458.4 253.8 +62.44 260.69 36.90 126.9 +106.84 180.79 20.79 28.0 191.61 29.1 23.0 51.2 28.2 2.6 371 97.4 1156 65.0 +21.76 70.5 76.6 32.0 205.1 29.4 Integrals Maxwell relations n# -1 n+1 av as In z as P rp- 1 - In(az – b) as av T T Properties of Some Materials Density (293 K) g/cm KT 10-4 K-1 10-" bar C, graphite C, diamond Cu, solid Water, liquid 2.26 3 Euler chain rule 3.5 0.030 0.187 az 8.9 0.501 0.735 = -1 az 0.997 2.1 49.6
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