Use the following data to estimate, S ° [ C 6 H 6 ( g,1 atm ) ] at 298.15 K. For C g H g ( s, 1 atm ) at its melting point of 5.53 ° C , S° is 128.82 J mol-1 K-1, The enthalpy of fusion is 9.866 kJ mol-1, From the melting point to 298.15 K, the average heat capacity of liquid benzene is 134.0 J mol-1 K-1. The enthalpy of vaporization of C 6 H 6 ( l ) at 298.15 K is 33.85 kJ mol-1, and in the vaporization, C 6 H 4 ( g ) is producsed at a pressure of 95.13 Torr. Imagine that this vapor could be compressed to 1 atm pressure without condensing and while behaving as an ideal gas. [ Hint: Refer to the preceding exercise, and note the following: For infinitesimal quantities, d S = δ q / d T ; for the isothermal compression of an ideal gas δ q = − d W ; and for pressure-volume work, δ w = − P d V .
Use the following data to estimate, S ° [ C 6 H 6 ( g,1 atm ) ] at 298.15 K. For C g H g ( s, 1 atm ) at its melting point of 5.53 ° C , S° is 128.82 J mol-1 K-1, The enthalpy of fusion is 9.866 kJ mol-1, From the melting point to 298.15 K, the average heat capacity of liquid benzene is 134.0 J mol-1 K-1. The enthalpy of vaporization of C 6 H 6 ( l ) at 298.15 K is 33.85 kJ mol-1, and in the vaporization, C 6 H 4 ( g ) is producsed at a pressure of 95.13 Torr. Imagine that this vapor could be compressed to 1 atm pressure without condensing and while behaving as an ideal gas. [ Hint: Refer to the preceding exercise, and note the following: For infinitesimal quantities, d S = δ q / d T ; for the isothermal compression of an ideal gas δ q = − d W ; and for pressure-volume work, δ w = − P d V .
Solution Summary: The author explains that the entropy of gaseous benzene is calculated by using the formula shown below.
Use the following data to estimate,
S
°
[
C
6
H
6
(
g,1
atm
)
]
at 298.15 K. For
C
g
H
g
(
s,
1
atm
)
at its melting point of
5.53
°
C
,
S°
is 128.82 J mol-1 K-1, The enthalpy of fusion is 9.866 kJ mol-1, From the melting point to 298.15 K, the average heat capacity of liquid benzene is 134.0 J mol-1 K-1. The enthalpy of vaporization of
C
6
H
6
(
l
)
at 298.15 K is 33.85 kJ mol-1, and in the vaporization,
C
6
H
4
(
g
)
is producsed at a pressure of 95.13 Torr. Imagine that this vapor could be compressed to 1 atm pressure without condensing and while behaving as an ideal gas. [Hint: Refer to the preceding exercise, and note the following: For infinitesimal quantities,
d
S
=
δ
q
/
d
T
; for the isothermal compression of an ideal gas
δ
q
=
−
d
W
; and for pressure-volume work,
δ
w
=
−
P
d
V
.
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Author:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; Darrell
Calorimetry Concept, Examples and Thermochemistry | How to Pass Chemistry; Author: Melissa Maribel;https://www.youtube.com/watch?v=nSh29lUGj00;License: Standard YouTube License, CC-BY