How many mols of CO₂ are in the container

Chemistry: Principles and Reactions
8th Edition
ISBN:9781305079373
Author:William L. Masterton, Cecile N. Hurley
Publisher:William L. Masterton, Cecile N. Hurley
Chapter5: Gases
Section: Chapter Questions
Problem 78QAP
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Please help me solve this. I am struggling to find the answers. Thank you!
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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