(a) It is possible to derive the Clausius-Clapeyron equation from the Clapeyron equation (both shown below). Both are used to describe phase-change phenomena. dp dT = AS 95 AV Clapeyron equation dlnp dT = AtH RT Clausius-Clapeyron equation (i) What is the main difference in the purpose and applicability of these two equations? (ie. the type of phenomena to which each equation can be applied) (ii) Describe the assumptions made during the derivation of the Clausius- Clapeyron equation. It is not necessary to show the derivation itself. (b) Naphthalene, C10H8, melts at 80.2°C. If the vapour pressure of the liquid is 1.3 kPa at 85.8°C and 5.3 kPa at 119.3°C, calculate the enthalpy of vaporization of Naphthalene, AvapH using the Clausius-Clapeyron equation. d ln p_Avap H dT = RT2 Assume AvapH is constant in the temperature range between 80.2°C and 119.3°C. The integration of the Clausius-Clapeyron equation gives In Pn Avap H P R T - 1 T. 1

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter6: Equilibria In Single-component Systems
Section: Chapter Questions
Problem 6.26E
icon
Related questions
Question
(a) It is possible to derive the Clausius-Clapeyron equation from the Clapeyron equation
(both shown below). Both are used to describe phase-change phenomena.
dp
dT
=
AS
95
AV
Clapeyron equation
dlnp
dT
=
AtH
RT
Clausius-Clapeyron equation
(i) What is the main difference in the purpose and applicability of these two
equations? (ie. the type of phenomena to which each equation can be applied)
(ii) Describe the assumptions made during the derivation of the Clausius-
Clapeyron equation. It is not necessary to show the derivation itself.
(b) Naphthalene, C10H8, melts at 80.2°C. If the vapour pressure of the liquid is 1.3 kPa
at 85.8°C and 5.3 kPa at 119.3°C, calculate the enthalpy of vaporization of
Naphthalene, AvapH using the Clausius-Clapeyron equation.
d ln p_Avap H
dT
=
RT2
Assume AvapH is constant in the temperature range between 80.2°C and 119.3°C. The
integration of the Clausius-Clapeyron equation gives
In
Pn
Avap
H
P
R T
-
1
T.
1
Transcribed Image Text:(a) It is possible to derive the Clausius-Clapeyron equation from the Clapeyron equation (both shown below). Both are used to describe phase-change phenomena. dp dT = AS 95 AV Clapeyron equation dlnp dT = AtH RT Clausius-Clapeyron equation (i) What is the main difference in the purpose and applicability of these two equations? (ie. the type of phenomena to which each equation can be applied) (ii) Describe the assumptions made during the derivation of the Clausius- Clapeyron equation. It is not necessary to show the derivation itself. (b) Naphthalene, C10H8, melts at 80.2°C. If the vapour pressure of the liquid is 1.3 kPa at 85.8°C and 5.3 kPa at 119.3°C, calculate the enthalpy of vaporization of Naphthalene, AvapH using the Clausius-Clapeyron equation. d ln p_Avap H dT = RT2 Assume AvapH is constant in the temperature range between 80.2°C and 119.3°C. The integration of the Clausius-Clapeyron equation gives In Pn Avap H P R T - 1 T. 1
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Physical Chemistry
Physical Chemistry
Chemistry
ISBN:
9781133958437
Author:
Ball, David W. (david Warren), BAER, Tomas
Publisher:
Wadsworth Cengage Learning,
Introductory Chemistry: A Foundation
Introductory Chemistry: A Foundation
Chemistry
ISBN:
9781337399425
Author:
Steven S. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Introductory Chemistry: An Active Learning Approa…
Introductory Chemistry: An Active Learning Approa…
Chemistry
ISBN:
9781305079250
Author:
Mark S. Cracolice, Ed Peters
Publisher:
Cengage Learning
Chemistry: The Molecular Science
Chemistry: The Molecular Science
Chemistry
ISBN:
9781285199047
Author:
John W. Moore, Conrad L. Stanitski
Publisher:
Cengage Learning
Introduction to General, Organic and Biochemistry
Introduction to General, Organic and Biochemistry
Chemistry
ISBN:
9781285869759
Author:
Frederick A. Bettelheim, William H. Brown, Mary K. Campbell, Shawn O. Farrell, Omar Torres
Publisher:
Cengage Learning