Thermodynamics (not too difficult apparently)

In summary, the question asks about a compressor that takes in air at 300K and 1atm and delivers it at 2atm using 200W of power. The process is adiabatic and reversible, and the final temperature of the air is calculated to be ~366K. The remaining question is about the rate of delivery, which can be understood by considering that power is the rate of doing work and that work was done to compress the gas.
  • #1
Mazimillion
8
0
Hi,

I've been given a question and I'm just a bit unsure about how to proceed.

"A compressor takes air at 300K and 1atm, and delivers compressed air at 2atm, using 200W of power. If the process is adiabatic and reversible, what is the rate that air is delivered, and what is the final temperature of the air? [k of air = 1.40]"

Now the final air temperature I'm ok with (i hope)
using: T/(p^((k-1)/k)) = constant, i get a final temp of ~366K (which seems reasonable to me considering it has been compressed)

The part that is giving me a headache is the rate of delivery section. Could i have a pointer in the right direction, please?

Thanks in advance
 
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  • #2
Mazimillion said:
The part that is giving me a headache is the rate of delivery section. Could i have a pointer in the right direction, please?

Thanks in advance
Power is the rate of doing work. Some work had to be done to compress the gas. Does that help?
 

FAQ: Thermodynamics (not too difficult apparently)

What is thermodynamics?

Thermodynamics is the branch of physics that deals with the relationship between heat, work, and energy. It studies how energy is transferred and converted between different forms, such as heat and mechanical work.

What are the laws of thermodynamics?

The laws of thermodynamics are fundamental principles that govern the behavior of energy and its transformation. The four laws are: the first law (conservation of energy), the second law (entropy always increases), the third law (absolute zero cannot be reached), and the zeroth law (defines temperature and thermal equilibrium).

What is the difference between heat and temperature?

Heat is the transfer of energy from one object to another due to a difference in temperature. Temperature is a measure of the average kinetic energy of the particles in a substance. In other words, heat is the energy being transferred, while temperature is a measure of the intensity of the heat.

What is an example of thermodynamics in everyday life?

An example of thermodynamics in everyday life is boiling water in a pot. The heat from the stove transfers thermal energy to the water, causing the water molecules to move faster and increase in temperature. As the water boils, the steam that is released carries away some of the heat energy, causing the temperature of the remaining water to decrease.

How is thermodynamics important in engineering?

Thermodynamics is essential in engineering as it helps engineers design and optimize systems that involve energy transfer and conversion. It is used to determine the efficiency of engines, power plants, and other mechanical and electrical systems. Understanding thermodynamics is crucial for creating sustainable and efficient designs.

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