Comparison b/w work done in adiabatic & isothermal processes

In summary, the conversation discusses the comparison between the isothermal and adiabatic graph lines and their respective work done. There is a suggestion to introduce an isochoric process step for a proper comparison. The conclusion is that in an isothermal process, the work done is higher than in an adiabatic process due to the expansion of gas.
  • #1
babita
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Homework Statement



In the graph attached, why is isothermal graph line higher than adiabatic one??

Homework Equations





The Attempt at a Solution


At first, i had thought that work done in an isothermal process is greater than in an adiabatic process...but for comparison we would need same initial and final states (P & V) , wouldn't we?
 

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  • #2
The area under the graph is the work done by the gas (W=∫PdV)

You can compare those areas and see that in an isothermal process the work done is indeed higher than in an adiabatic process.

For a proper comparison you would need indeed the same final P&V.
So introduce an extra isochoric (constant volume) process step (a vertical line in your diagram) and presto!
 
  • #3
i know that.... my doubt was that P & V which are describing the state should be same(initial and final), then we can compare the work done through 2 ways: adiabatic & isothermal
but i have got it..the graph simply indicates that if we expand a gas and do it isothermally it would require more work to be done
thanks :)
 

1. What is the main difference between adiabatic and isothermal processes?

Adiabatic processes involve no exchange of heat with the surroundings, while isothermal processes maintain a constant temperature throughout.

2. Which process is more efficient in terms of work done?

The efficiency of adiabatic and isothermal processes depends on the specific conditions and the type of system. In general, adiabatic processes tend to be more efficient in terms of work done.

3. How does the work done in an adiabatic process compare to that in an isothermal process?

In an adiabatic process, the work done is greater than in an isothermal process due to the absence of heat exchange, resulting in a larger change in internal energy.

4. Are there any real-life examples of adiabatic and isothermal processes?

Adiabatic processes can be seen in the compression and expansion of gases in internal combustion engines, while isothermal processes are often used in refrigeration and air conditioning systems.

5. Which process is more commonly used in industrial applications?

Both adiabatic and isothermal processes have their own advantages and are used in various industrial applications depending on the specific requirements. However, adiabatic processes are more commonly used in industries such as power generation and chemical production.

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