Hello, I have received your answer but I do not understand why 97K = 97C° can you please explain? Thanks a lot! During a 1st process, an ideal gas goes from a volume of 3.5 liters to 1.25 liters and its pressure goes from 32.0mmHg to 89.6mmHg. In a 2nd process, which follows the 1st, the gas volume doubles and the pressure drops to 34.0mmHg. b) what is the number of degrees of freedom of the gas molecules? c) what was the total temperature change if initially it was 25C°? Answer: isothermal and adiabatic; 5; -72K Your answer:

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter19: Temperature, Thermal Expansion And Gas Laws
Section: Chapter Questions
Problem 76PQ
icon
Related questions
Question

Please Asap 

Hello, I have received your answer but I do not understand why 97K = 97C° can you please explain? Thanks a lot!
During a 1st process, an ideal gas goes from a volume of 3.5 liters to 1.25 liters and its
pressure goes from 32.0mmHg to 89.6mmHg. In a 2nd process, which follows the 1st, the gas volume
doubles and the pressure drops to 34.0mmHg.
b) what is the number of degrees of freedom of the gas molecules?
c) what was the total temperature change if initially it was 25C°?
Answer: isothermal and adiabatic; 5; -72K
Your answer:
c) The total temperature change can be calculated using the ideal gas law, which relates the pressure,
volume, temperature, and number of moles of a gas. For an isothermal process, the temperature is
constant, so we can use the ideal gas law to calculate the initial number of moles:
n = RT
32.0mmHgx3.5L.
-0.0821Latlx298k
= 0.471 mol
where R is the gas constant and T is the temperature in Kelvin.
Using the same equation for the final state of the gas in the adiabatic process, we can find the final
temperature:
T₁ = P₁xV₁
BXR
34.0mmHg 2.5L
= 0.471mal-0.0821Latol
201K
The total temperature change is therefore:
AT = Tf - Ti
= 201K-298K
=-97K
However, we need to remember that the first process is isothermal, so the temperature does not
change during this process. Therefore, the temperature change for the second process is:
AT Tf-Ti-201K-298K = -97K
Explanation:
However, we need to be careful when converting between Kelvin and Celsius scales, as they
have different zero points. To find the change in Celsius from an initial temperature of 25°C, we
subtract the temperature in Celsius from the Kelvin temperature:
AT = -97K= -97°C -25°C = -72"C
Therefore, the total temperature change during the two processes is -72°C.
Transcribed Image Text:Hello, I have received your answer but I do not understand why 97K = 97C° can you please explain? Thanks a lot! During a 1st process, an ideal gas goes from a volume of 3.5 liters to 1.25 liters and its pressure goes from 32.0mmHg to 89.6mmHg. In a 2nd process, which follows the 1st, the gas volume doubles and the pressure drops to 34.0mmHg. b) what is the number of degrees of freedom of the gas molecules? c) what was the total temperature change if initially it was 25C°? Answer: isothermal and adiabatic; 5; -72K Your answer: c) The total temperature change can be calculated using the ideal gas law, which relates the pressure, volume, temperature, and number of moles of a gas. For an isothermal process, the temperature is constant, so we can use the ideal gas law to calculate the initial number of moles: n = RT 32.0mmHgx3.5L. -0.0821Latlx298k = 0.471 mol where R is the gas constant and T is the temperature in Kelvin. Using the same equation for the final state of the gas in the adiabatic process, we can find the final temperature: T₁ = P₁xV₁ BXR 34.0mmHg 2.5L = 0.471mal-0.0821Latol 201K The total temperature change is therefore: AT = Tf - Ti = 201K-298K =-97K However, we need to remember that the first process is isothermal, so the temperature does not change during this process. Therefore, the temperature change for the second process is: AT Tf-Ti-201K-298K = -97K Explanation: However, we need to be careful when converting between Kelvin and Celsius scales, as they have different zero points. To find the change in Celsius from an initial temperature of 25°C, we subtract the temperature in Celsius from the Kelvin temperature: AT = -97K= -97°C -25°C = -72"C Therefore, the total temperature change during the two processes is -72°C.
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Ideal Gas law
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
University Physics Volume 2
University Physics Volume 2
Physics
ISBN:
9781938168161
Author:
OpenStax
Publisher:
OpenStax
College Physics
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College
College Physics
College Physics
Physics
ISBN:
9781285737027
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning