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Consider a container with a frictionless piston that contains a given amount of an ideal gas. Let's assume that initially the external pressure is 2.20 bar, which is the sum of a 1 bar atmospheric pressure and the pressure created by a very large number of very small pebbles that rest on top of the piston. The initial volume of gas is 0.200 L and the initial temperature is 25°C. Now, you will increase the volume of the gas by changing the external pressure slowly in a way that guarantees that the temperature of the system remains constant throughout the process. To do this, imagine you remove the pebbles one by one slowly to increase the volume by an infinitesimal amount. Every time you remove a weight you allow the system to equilibrate. Your cylinder is immersed in a water bath at 25°C, which keeps your gas at the same temperature throughout the whole process. Remember to use three significant figures for all numerical answers. The margin of error for each numerical answer is 1%. To avoid rounding errors use unrounded intermediate values in your final calculations. Note: You may find an equation to solve this problem in a textbook or online, but the goal of this challenge is that you think through the problem and come up with the equation on your own. This problem requires basic calculus, so be ready to integrate!

Consider a container with a frictionless piston that contains a given amount of an ideal gas. Let's assume that initially the external pressure is 2.20 bar, which is the sum of a 1 bar atmospheric pressure and the pressure created by a very large number of very small pebbles that rest on top of the piston. The initial volume of gas is 0.200 L and the initial temperature is 25°C. Now, you will increase the volume of the gas by changing the external pressure slowly in a way that guarantees that the temperature of the system remains constant throughout the process. To do this, imagine you remove the pebbles one by one slowly to increase the volume by an infinitesimal amount. Every time you remove a weight you allow the system to equilibrate. Your cylinder is immersed in a water bath at 25°C, which keeps your gas at the same temperature throughout the whole process. Remember to use three significant figures for all numerical answers. The margin of error for each numerical answer is 1%. To avoid rounding errors use unrounded intermediate values in your final calculations. Note: You may find an equation to solve this problem in a textbook or online, but the goal of this challenge is that you think through the problem and come up with the equation on your own. This problem requires basic calculus, so be ready to integrate!

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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Consider a container with a frictionless piston that contains a given amount of an ideal gas. Let's assume that initially the external pressure is 2.20 bar, which is the sum of a 1 bar atmospheric pressure and the pressure created by a very large number of very small pebbles that rest on top of the piston. The initial volume of gas is 0.200 L and the initial temperature is 25°C. Now, you will increase the volume of the gas by changing the external pressure slowly in a way that guarantees that the temperature of the system remains constant throughout the process. To do this, imagine you remove the pebbles one by one slowly to increase the volume by an infinitesimal amount. Every time you remove a weight you allow the system to equilibrate. Your cylinder is immersed in a water bath at 25°C, which keeps your gas at the same temperature throughout the whole process. Remember to use three significant figures for all numerical answers. The margin of error for each numerical answer is 1%. To avoid rounding errors use unrounded intermediate values in your final calculations. Note: You may find an equation to solve this problem in a textbook or online, but the goal of this challenge is that you think through the problem and come up with the equation on your own. This problem requires basic calculus, so be ready to integrate! ▾ Part A What is the volume of the gas when you remove all pebbles? The error margin is 1%. [V]]ΑΣΦ V Submit Request Answer Part B What is the final pressure of the gas? The error margin is 1%. ΠΗΓΙΑΣΦ Submit Part C zero negative Ⓒ positive ^ Submit Request Answer ▾ Part D Now consider the work performed by the sytem. What is the sign of w? ✓ Correct Previous Answers K ? L bar Calculate the work (Wideal) performed during this reversible, isothermal expansion of the ideal gas. The error margin is 1%. ΕΠΙΑΣΦ. 6 Ò www. ?
Transcribed Image Text:Consider a container with a frictionless piston that contains a given amount of an ideal gas. Let's assume that initially the external pressure is 2.20 bar, which is the sum of a 1 bar atmospheric pressure and the pressure created by a very large number of very small pebbles that rest on top of the piston. The initial volume of gas is 0.200 L and the initial temperature is 25°C. Now, you will increase the volume of the gas by changing the external pressure slowly in a way that guarantees that the temperature of the system remains constant throughout the process. To do this, imagine you remove the pebbles one by one slowly to increase the volume by an infinitesimal amount. Every time you remove a weight you allow the system to equilibrate. Your cylinder is immersed in a water bath at 25°C, which keeps your gas at the same temperature throughout the whole process. Remember to use three significant figures for all numerical answers. The margin of error for each numerical answer is 1%. To avoid rounding errors use unrounded intermediate values in your final calculations. Note: You may find an equation to solve this problem in a textbook or online, but the goal of this challenge is that you think through the problem and come up with the equation on your own. This problem requires basic calculus, so be ready to integrate! ▾ Part A What is the volume of the gas when you remove all pebbles? The error margin is 1%. [V]]ΑΣΦ V Submit Request Answer Part B What is the final pressure of the gas? The error margin is 1%. ΠΗΓΙΑΣΦ Submit Part C zero negative Ⓒ positive ^ Submit Request Answer ▾ Part D Now consider the work performed by the sytem. What is the sign of w? ✓ Correct Previous Answers K ? L bar Calculate the work (Wideal) performed during this reversible, isothermal expansion of the ideal gas. The error margin is 1%. ΕΠΙΑΣΦ. 6 Ò www. ?
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