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How many mols of CO₂ are in the container

How many mols of CO₂ are in the container

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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Item 2 Consider a container with a frictionless piston that contains a given amount of CO₂. Assume that the behavior of this gas can be described by the van der Waals equation of state. For carbon dioxide gas (CO₂), the constants in the van der Waals equation are a = 0.364 J. m³/mol² and b= 4.27 x 10-5 m³/mol. Let's assume that initially the external pressure is 22.0 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 0.5 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 (non-trivial) numerical answer is 1%. To avoid rounding errors use the unrounded intermediate values in your final calculations. ▼ Part A How many mols of CO₂ are in the container? (you may find this website useful: http://www.1728.org/cubic.htm) Check your results for consistency with the provided information, before you enter them below. The error margin is 2%. n = 0.044 VΠΙ ΑΣΦ Submit Previous Answers Request Answer Part B X Incorrect; Try Again; One attempt remaining V PWW MacBook Pro What is the volume of the gas when you remove all pebbles? (also here, you may find this website useful: http://www.1728.org/cubic.htm, but you can also get very close to the correct answer without it) Check your results for consistency with the provided information, before you enter them below. [5] ΑΣΦ P Pearson ? www ? mol L 2 of 2 >
Transcribed Image Text:Item 2 Consider a container with a frictionless piston that contains a given amount of CO₂. Assume that the behavior of this gas can be described by the van der Waals equation of state. For carbon dioxide gas (CO₂), the constants in the van der Waals equation are a = 0.364 J. m³/mol² and b= 4.27 x 10-5 m³/mol. Let's assume that initially the external pressure is 22.0 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 0.5 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 (non-trivial) numerical answer is 1%. To avoid rounding errors use the unrounded intermediate values in your final calculations. ▼ Part A How many mols of CO₂ are in the container? (you may find this website useful: http://www.1728.org/cubic.htm) Check your results for consistency with the provided information, before you enter them below. The error margin is 2%. n = 0.044 VΠΙ ΑΣΦ Submit Previous Answers Request Answer Part B X Incorrect; Try Again; One attempt remaining V PWW MacBook Pro What is the volume of the gas when you remove all pebbles? (also here, you may find this website useful: http://www.1728.org/cubic.htm, but you can also get very close to the correct answer without it) Check your results for consistency with the provided information, before you enter them below. [5] ΑΣΦ P Pearson ? www ? mol L 2 of 2 >
Consider a container with a frictionless piston that contains a given amount of CO₂. Assume that the behavior of this gas can be described by the van der Waals equation of state. For carbon dioxide gas (CO₂), the constants in the van der Waals equation are a = 0.364 J m³/mol² and b= 4.27 x 10-5 m³/mol. Let's assume that initially the external pressure is 22.0 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 0.5 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 (non-trivial) numerical answer is 1%. To avoid rounding errors use the unrounded intermediate values in your final calculations. Submit Part C What is the final pressure of the gas? 15| ΑΣΦ Submit Request Answer Part D Hequest Answer Ozero O negative O positive Submit ▼ Part E Now consider the work performed by the sytem. What is the sign of w? Request Answer C Pearson ? bar 2 of 2
Transcribed Image Text:Consider a container with a frictionless piston that contains a given amount of CO₂. Assume that the behavior of this gas can be described by the van der Waals equation of state. For carbon dioxide gas (CO₂), the constants in the van der Waals equation are a = 0.364 J m³/mol² and b= 4.27 x 10-5 m³/mol. Let's assume that initially the external pressure is 22.0 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 0.5 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 (non-trivial) numerical answer is 1%. To avoid rounding errors use the unrounded intermediate values in your final calculations. Submit Part C What is the final pressure of the gas? 15| ΑΣΦ Submit Request Answer Part D Hequest Answer Ozero O negative O positive Submit ▼ Part E Now consider the work performed by the sytem. What is the sign of w? Request Answer C Pearson ? bar 2 of 2
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