How Is Work Calculated in Isothermal Compression of Air?

AI Thread Summary
The work done in isothermal compression of air can be calculated using the integral of pressure times the change in volume, with limits set at the initial and final volumes. The specific problem involves compressing 2kg of dry air to one-tenth its volume at 15°C. It is noted that the equation does not include a variable for the mass of the air parcel, and the pressure value is also unspecified. Setting up the integral with variables for unknowns may lead to a solution that is independent of those unknowns. This approach allows for a general understanding of the work involved in the process.
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1. Calculate the work done in compressing isothermally 2kg of dry air to one-tenth its volume at 15C



2. Work= the integral of pressure times the change in volume, the limits of integration being the initial and final volumes, v1 and v2.



3. The equation is very general, and doesn't have a variable for mass of the air parcel. The problem also doesn't have a value for p, so I don't know if I am supposed to have a solution with p as a variable in it...
 
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Just set up the integral leaving variables where you don't know something. You may find the answer doesn't depend on things you don't know.
 

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