Thermodynamics Question: Calculating Work for Nitrogen Gas Expansion

In summary, the problem involves a system of two kilograms of Nitrogen gas at 600 K and 10 atm, which expands to three times its initial volume and provides 50% of the work in an isobaric process. The values of mass, temperature, pressure, gas constant, moles, and volumes are given, and the final goal is to determine the final volume, temperature, and pressure and characterize the process. The confusion lies in the 50% of isobaric work part, as it is unclear how the work is affected by a change in temperature in an isobaric process. Clarification on whether the process is indeed isobaric would help in solving the problem.
  • #1
PGall
2
0
I have this problem:

Two (2) kilograms of Nitrogen gas at 600 K and 10 atm are allowed to expand such that they end up occupying three (3) times the initial volume and providing 50% of the isobaric work.

mass = 2000 g
temp1 = 600 K
pressure1 = 1013250 Pa
gasC = 8.3144621
n = mass/28.0134 = 71.3944 mol
v1 = (n*gasC*temp1)/pressure1 = 0.351506 m^3
v2 = 3*v1 = 1.05452 m^3

w = p1*(v2 - v1) = 712327 J

I have to determine v2, temp2, and pressure2 and characterize the process. Where I'm confused is the 50% of isobaric work part. If the system is isobaric wouldn't all of the work being done be a result of the change in volume? Or am I missing something related to a change in temperature that would affect the work being done?

Any help would be greatly appreciated.
 
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  • #2
An isobaric process is a thermodynamic process in which the pressure stays constant.
Your question does not say the process is isobaric, but that the work is 50% of that had the process been an isobaric expansion.
 

FAQ: Thermodynamics Question: Calculating Work for Nitrogen Gas Expansion

What is thermodynamics?

Thermodynamics is the branch of physics that deals with the relationships between heat, work, energy, and temperature, and how these factors affect physical systems.

What are the laws of thermodynamics?

The first law of thermodynamics states that energy cannot be created or destroyed, only transferred or converted from one form to another. The second law states that in any energy transfer or conversion, some energy will inevitably be lost to the environment. The third law states that the entropy of a perfect crystal at absolute zero temperature is zero.

How does thermodynamics apply to everyday life?

Thermodynamics is involved in many everyday processes, such as cooking, driving a car, and using electronic devices. It helps explain how energy is transferred and transformed in these processes, and how to make them more efficient.

What is the difference between heat and temperature?

Heat is a form of energy, while temperature is a measure of the average kinetic energy of the particles in a substance. Heat is transferred from a hotter object to a colder object, but temperature is not transferred.

What is an example of the application of thermodynamics in industry?

One example is the use of thermodynamics in power plants, where heat energy is converted into electrical energy. Another example is in refrigeration systems, where thermodynamics is used to transfer heat from inside a refrigerator to the outside environment.

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