In a cylinder sealed with a piston, you rapidly compress 3.50 L of N2 gas initially at 1.00 atmpressure and 0.00∘C to half its original volume. Assume the N2 behaves like an ideal gas.A)Calculate the final temperature of the gas. Tfinal = ______ ˚C B) Calculate the final pressure of the gas. Pfinal = _______ atm C) If you now cool the gas back to 0.00∘C without changing the pressure, what is its final volume? V final = ________ L

Question
Asked Sep 16, 2019

In a cylinder sealed with a piston, you rapidly compress 3.50 L of N2 gas initially at 1.00 atmpressure and 0.00∘C to half its original volume. Assume the N2 behaves like an ideal gas.

A)Calculate the final temperature of the gas.
 
Tfinal = ______ ˚C
 
B) Calculate the final pressure of the gas.
 
Pfinal = _______ atm
 
C) If you now cool the gas back to 0.00∘C without changing the pressure, what is its final volume?
 
V final = ________ L
check_circleExpert Solution
Step 1

Given that the final volume of the gas is half of its original volume.

The final volume is
here, V, is the final volume
V
2
Vis the initial volume
3.50L
2
1.75L
Under Adiabatic condition
V
VP
2
1.4
2V
(latm
here V
2
V2
=2.639 atm
B. The final pressure of the gas is 2.639 atm
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The final volume is here, V, is the final volume V 2 Vis the initial volume 3.50L 2 1.75L Under Adiabatic condition V VP 2 1.4 2V (latm here V 2 V2 =2.639 atm B. The final pressure of the gas is 2.639 atm

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Step 2

Write the ideal gas equatio...

From ideal gas equation
Р.И - nRT,
Р., 3 nRT,
by [2]
РИ Т
Р., Т.
[2]
2
Р.,
РY,
(2.639 atm) (1.75L)x(0.00 + 273)K
-xT
Т,
(atm(3.50L)
360.22K
A. The Final temperature of the gas is 360.22 K
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Image Transcriptionclose

From ideal gas equation Р.И - nRT, Р., 3 nRT, by [2] РИ Т Р., Т. [2] 2 Р., РY, (2.639 atm) (1.75L)x(0.00 + 273)K -xT Т, (atm(3.50L) 360.22K A. The Final temperature of the gas is 360.22 K

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Kinetic Theory of Gases

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