What is the Final Temperature of Methane Gas After Adiabatic Expansion?

In summary, adiabatic gas expansion is a process where a gas expands without gaining or losing heat to its surroundings, keeping the heat energy constant. It differs from isothermal gas expansion in that no heat transfer occurs. Adiabatic gas expansion is important in studying gas behavior and plays a role in industrial processes. Real-life examples include air expansion in a bicycle pump and gas expansion in a compressed air canister. Limitations of adiabatic gas expansion include the assumption of reversibility and closed systems, as well as the potential impact of energy losses and the need for temperature control in some processes.
  • #1
cruckshank
17
0
Methane gas at 550K, 5 bar is expanded adiabatically and reversibly to 1 bar. Find the final temperature of the gas.

I have made little progress with this...

I've calculated the initial volume, and that is all so far. Obviously to find the work usually I'd integrate pressure with respect to volume, after substituting PVγ=const but I can't do this because the final volume isn't available to me...

Help would be appreciated!
 
Engineering news on Phys.org
  • #2
Using PV^gamma = constant you can easily calculate the final volume as P(initial), P(final) and V(final) are known.
 

What is adiabatic gas expansion?

Adiabatic gas expansion is a process in which a gas expands without gaining or losing heat to its surroundings. This means that the temperature of the gas will change as it expands, but the heat energy within the gas will remain constant.

What is the difference between adiabatic gas expansion and isothermal gas expansion?

The main difference between adiabatic and isothermal gas expansion is the heat transfer that occurs during the process. In adiabatic expansion, no heat is transferred, while in isothermal expansion, the temperature of the gas remains constant as heat is transferred.

Why is adiabatic gas expansion important in thermodynamics?

Adiabatic gas expansion is important in thermodynamics because it allows us to study the behavior of gases and their energy changes without the complicating factor of heat transfer. It also plays a crucial role in the efficiency of various industrial processes, such as gas turbines and refrigerators.

What are some real-life examples of adiabatic gas expansion?

Some real-life examples of adiabatic gas expansion include the expansion of air in a bicycle pump, the compression of air in a diesel engine, and the expansion of gas in a compressed air canister.

What are the limitations of adiabatic gas expansion?

One limitation of adiabatic gas expansion is that it assumes the process is reversible and occurs in a closed system. In reality, there may be some heat transfer or energy losses due to friction, which can affect the accuracy of calculations. Additionally, adiabatic expansion may not be suitable for all processes, as some may require temperature control through heat transfer.

Similar threads

I Adiabatic expansion work far exceeds isobaric of same volume, why?
    • Thermodynamics
3
Replies
81
Views
3K
I Irreversible adiabatic processes & entropy change (clarification needed)
    • Thermodynamics
Replies
22
Views
2K
I Focus Problem for Entropy Change in Irreversible Adiabatic Process
    • Thermodynamics
2
Replies
56
Views
3K
A Work done during adiabatic expansion on piston
    • Thermodynamics
Replies
8
Views
545
I Adiabatic cooling in this process involving liquid ammonia
    • Thermodynamics
Replies
5
Views
609
Adiabatic Expansion of Pressurized Air in a Piston-Cylinder Setup
    • Introductory Physics Homework Help
Replies
8
Views
744
Adiabatic expansion with temperature-dependent gamma
    • Introductory Physics Homework Help
Replies
1
Views
830
I Solving Adiabatic Process for Two Compartments
    • Classical Physics
Replies
1
Views
919
I Calculating Cooling Effect in Gas Cylinder Expansion
    • Thermodynamics
Replies
3
Views
1K
Thermodynamics - Enthelpy change in adiabatic expansion
    • Engineering and Comp Sci Homework Help
Replies
3
Views
3K

Hot Threads

Recent Insights

Back
Top