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P (Pa) Q3) Thermodynamic Processes-2.0 mol of a diatomic ideal gas undergoes a process in which it is compressed very slowly from state a (V. = 3.0 m³, P, = 1000 Pa) to state b (V, = 1.0 m), in such a way that the system maintains thermal equilibrium with its surroundings at all times. 3000 2000 A. Find the change in internal energy during the proces. 1000 B. Find the final pressure of the gas. 0 1 2 3 4 V (m') C. Find the work done by the piston on the gas during this process. (Hint: Since Pis not constant during this process, it doesn't come out of the integral. Use the ideal gas law to find an expression for Pin terms of constants and the integration variable K)

P (Pa) Q3) Thermodynamic Processes-2.0 mol of a diatomic ideal gas undergoes a process in which it is compressed very slowly from state a (V. = 3.0 m³, P, = 1000 Pa) to state b (V, = 1.0 m), in such a way that the system maintains thermal equilibrium with its surroundings at all times. 3000 2000 A. Find the change in internal energy during the proces. 1000 B. Find the final pressure of the gas. 0 1 2 3 4 V (m') C. Find the work done by the piston on the gas during this process. (Hint: Since Pis not constant during this process, it doesn't come out of the integral. Use the ideal gas law to find an expression for Pin terms of constants and the integration variable K)

Chemistry
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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Q3) Thermodynamic Processes- 2.0 mol of a diatomic ideal gas undergoes a process in which it is compressed very slowly from state a (V. = 3.0 m³, P, = 1000 Pa) to state b (V, = 1.0 m³), in such a way that the system maintains thermal equilibrium with its surroundings at all times. P (Pa) 3000 2000 A. Find the change in internal energy during the process. 1000 B. Find the final pressure of the gas. 1 3 4 V(m³) C. Find the work done by the piston on the gas during this process. (Hint: Since Pis not constant during this process, it doesn't come out of the integral. Use the ideal gas law to find an expression for Pin terms of constants and the integration variable V) D. So what's the work done by the gas on the piston during this process? E. How much heat – if any - was transferred between the gas and surroundings during this process? Did heat flow from the gas to the surroundings or from the surroundings to the gas? Explain your reasoning. F. At the end of the process, is the average kinetic energy per molecule greater than, less than, or the same as the average kinetic energy per molecule at the beginning of the process? Explain your reasoning. G. Represent this process ab as accurately as possible on the PV diagram above.
Transcribed Image Text:Q3) Thermodynamic Processes- 2.0 mol of a diatomic ideal gas undergoes a process in which it is compressed very slowly from state a (V. = 3.0 m³, P, = 1000 Pa) to state b (V, = 1.0 m³), in such a way that the system maintains thermal equilibrium with its surroundings at all times. P (Pa) 3000 2000 A. Find the change in internal energy during the process. 1000 B. Find the final pressure of the gas. 1 3 4 V(m³) C. Find the work done by the piston on the gas during this process. (Hint: Since Pis not constant during this process, it doesn't come out of the integral. Use the ideal gas law to find an expression for Pin terms of constants and the integration variable V) D. So what's the work done by the gas on the piston during this process? E. How much heat – if any - was transferred between the gas and surroundings during this process? Did heat flow from the gas to the surroundings or from the surroundings to the gas? Explain your reasoning. F. At the end of the process, is the average kinetic energy per molecule greater than, less than, or the same as the average kinetic energy per molecule at the beginning of the process? Explain your reasoning. G. Represent this process ab as accurately as possible on the PV diagram above.
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