7. Consider the following process, in which AH® is 44.0 kJ/mol at 25°C and 40.6 kJ/mol at 100 °C H2O() → H2O(g) (a) If the entropy S® for H2O(!) and H2O(g) are 70.0 J.mol'.K' and 188.9 J.mol"'.K', respectively, calculate AS,ys and ASgsurr, each with appropriate algebraic sign at 25°C and at 100 °C. (b) Calculate ASuniv at 25°C and at 100 °C, and predict whether the evaporation of water is spontaneous at each temperature if PH20 = 1 atm.
7. Consider the following process, in which AH® is 44.0 kJ/mol at 25°C and 40.6 kJ/mol at 100 °C H2O() → H2O(g) (a) If the entropy S® for H2O(!) and H2O(g) are 70.0 J.mol'.K' and 188.9 J.mol"'.K', respectively, calculate AS,ys and ASgsurr, each with appropriate algebraic sign at 25°C and at 100 °C. (b) Calculate ASuniv at 25°C and at 100 °C, and predict whether the evaporation of water is spontaneous at each temperature if PH20 = 1 atm.
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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![**Problem 7: Thermodynamics of Water Evaporation**
Consider the following process, in which the standard enthalpy change (\(\Delta H^\circ\)) is 44.0 kJ/mol at 25°C and 40.6 kJ/mol at 100°C:
\[ \text{H}_2\text{O(l)} \rightarrow \text{H}_2\text{O(g)} \]
**(a)** If the standard entropy (\(S^\circ\)) for H\(_2\)O(l) and H\(_2\)O(g) are 70.0 J/mol·K and 188.9 J/mol·K, respectively, calculate the change in entropy of the system (\(\Delta S_{sys}\)) and the surroundings (\(\Delta S_{sur}\)), each with the appropriate algebraic signs at 25°C and at 100°C.
**(b)** Calculate the change in entropy of the universe (\(\Delta S_{univ}\)) at 25°C and at 100°C, and predict whether the evaporation of water is spontaneous at each temperature if \(P_{\text{H}_2\text{O}} = 1\) atm.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F16f65cf9-d3bb-4ef1-8d11-46be7a9043fa%2Fdaa0ced1-951b-408d-becf-3ef4be6ab1fe%2F1gkdw4a_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 7: Thermodynamics of Water Evaporation**
Consider the following process, in which the standard enthalpy change (\(\Delta H^\circ\)) is 44.0 kJ/mol at 25°C and 40.6 kJ/mol at 100°C:
\[ \text{H}_2\text{O(l)} \rightarrow \text{H}_2\text{O(g)} \]
**(a)** If the standard entropy (\(S^\circ\)) for H\(_2\)O(l) and H\(_2\)O(g) are 70.0 J/mol·K and 188.9 J/mol·K, respectively, calculate the change in entropy of the system (\(\Delta S_{sys}\)) and the surroundings (\(\Delta S_{sur}\)), each with the appropriate algebraic signs at 25°C and at 100°C.
**(b)** Calculate the change in entropy of the universe (\(\Delta S_{univ}\)) at 25°C and at 100°C, and predict whether the evaporation of water is spontaneous at each temperature if \(P_{\text{H}_2\text{O}} = 1\) atm.
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