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derive an expression for the potential energy of the H-bond as a function of the angle and graph this function using Excel or software of your choice. Your result should resemble the graph of 11.28 (You are welcome to assume the two water molecules are in a vacuum, which is an assumption made in Fig. 11.28). (a) Use your own sheet of paper. Derive the expression for the molar potential energy of interaction as a function of the angle theta based on the electrostatic model of interaction of two pairs of partial charges. Use the partial charges on H and O of +0.45e and -0.83e, respectively. Use R = 200 pm and r= 95.7 pm. Hint: use the law of cosines to come up with an expression for the length of the hydrogen bond H-0, which you should call ro-H. The derivation should be in units of molar energy of kJ per mole. Your final result should be an equation for V(0). The law of cosines for a general triangle (image from Wikipedia): c? = a² + b² – 2ab cos y A B. b) Graph the potential you derived in part (a) for values of theta from -180 to 180 in increments of 5. You should have 73 data points, including 0°. Labe the axes: y-axis should be Potential Energy (kJ/mol) and x-axis should be degrees (-180° to 180"). Upload this graph as a second page of your assignment such that you have a single pdf upload (page 1 is the derivation, page 2 is the graph). You are welcome to provide the

derive an expression for the potential energy of the H-bond as a function of the angle and graph this function using Excel or software of your choice. Your result should resemble the graph of 11.28 (You are welcome to assume the two water molecules are in a vacuum, which is an assumption made in Fig. 11.28). (a) Use your own sheet of paper. Derive the expression for the molar potential energy of interaction as a function of the angle theta based on the electrostatic model of interaction of two pairs of partial charges. Use the partial charges on H and O of +0.45e and -0.83e, respectively. Use R = 200 pm and r= 95.7 pm. Hint: use the law of cosines to come up with an expression for the length of the hydrogen bond H-0, which you should call ro-H. The derivation should be in units of molar energy of kJ per mole. Your final result should be an equation for V(0). The law of cosines for a general triangle (image from Wikipedia): c? = a² + b² – 2ab cos y A B. b) Graph the potential you derived in part (a) for values of theta from -180 to 180 in increments of 5. You should have 73 data points, including 0°. Labe the axes: y-axis should be Potential Energy (kJ/mol) and x-axis should be degrees (-180° to 180"). Upload this graph as a second page of your assignment such that you have a single pdf upload (page 1 is the derivation, page 2 is the graph). You are welcome to provide the

Chemistry: Principles and Practice
Chemistry: Principles and Practice
3rd Edition
ISBN:9780534420123
Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Publisher:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Chapter11: Liquids And Solids
Section: Chapter Questions
Problem 11.15QE
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1. Consider a hydrogen bond between water (Figure 11.28 top, shown below). You will derive an expression for the potential energy of the H-bond as a function of the angle and graph this function using Excel or software of your choice. Your result should resemble the graph of 11.28 (You are welcome to assume the two water molecules are in a vacuum, which is an assumption made in Fig. 11.28). (a) Use your own sheet of paper. Derive the expression for the molar potential energy of interaction as a function of the angle theta based on the electrostatic model of interaction of two pairs of partial charges. Use the partial charges on H and O of +0.45e and -0.83e, respectively. Use R = 200 pm and r= 95.7 pm. Hint: use the law of cosines to come up with an expression for the length of the hydrogen bond H- 0, which you should call ro-H. The derivation should be in units of molar energy of kJ per mole. Your final result should be an equation for V(0). The law of cosines for a general triangle (image from Wikipedia): c² = a² + b² – 2ab cos y b) Graph the potential you derived in part (a) for values of theta from -180° to 180 in increments of 5°. You should have 73 data points, including 0°. Labe the axes: y-axis should be Potential Energy (kJ/mol) and x-axis should be degrees (-180° to 180"). Upload this graph as a second page of your assignment such that you have a single pdf upload (page 1 is the derivation, page 2 is the graph). You are welcome to provide the data (as two columns) in your upload. BI
Transcribed Image Text:1. Consider a hydrogen bond between water (Figure 11.28 top, shown below). You will derive an expression for the potential energy of the H-bond as a function of the angle and graph this function using Excel or software of your choice. Your result should resemble the graph of 11.28 (You are welcome to assume the two water molecules are in a vacuum, which is an assumption made in Fig. 11.28). (a) Use your own sheet of paper. Derive the expression for the molar potential energy of interaction as a function of the angle theta based on the electrostatic model of interaction of two pairs of partial charges. Use the partial charges on H and O of +0.45e and -0.83e, respectively. Use R = 200 pm and r= 95.7 pm. Hint: use the law of cosines to come up with an expression for the length of the hydrogen bond H- 0, which you should call ro-H. The derivation should be in units of molar energy of kJ per mole. Your final result should be an equation for V(0). The law of cosines for a general triangle (image from Wikipedia): c² = a² + b² – 2ab cos y b) Graph the potential you derived in part (a) for values of theta from -180° to 180 in increments of 5°. You should have 73 data points, including 0°. Labe the axes: y-axis should be Potential Energy (kJ/mol) and x-axis should be degrees (-180° to 180"). Upload this graph as a second page of your assignment such that you have a single pdf upload (page 1 is the derivation, page 2 is the graph). You are welcome to provide the data (as two columns) in your upload. BI
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