Reversible Isothermal Expansion Steam

AI Thread Summary
The discussion revolves around calculating the heat absorbed by steam during a reversible isothermal expansion at 500 degrees Celsius, with a pressure drop from 300 kPa to 200 kPa. The initial confusion stems from the assumption that steam cannot be treated as an ideal gas, but it is clarified that under these conditions, steam can be approximated as such. The relevant formula for work done during the expansion is W = nRT ln(v2/v1), which can be adapted using the pressure ratio as (v2/v1) = (p1/p2), leading to W = nRT ln(p1/p2). The final question seeks a method to calculate the heat absorbed, emphasizing the need for clarity on applying the ideal gas law in this context. Understanding these relationships is crucial for solving the problem accurately.
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Homework Statement


2kgs (total mass) of steam goes through a revesible isothermal expansion at 500 degrees celcius. During the expansion the pressure drops from 300 kpa to 200 kpa.
What is the heat absorbed by the steam during this process?

Homework Equations


U=W and W=nrt ln(v2/v1)

The Attempt at a Solution


Steam cannot be assumed to be an ideal gas atleast to my knowledge. When I google Reversible Isothermal Expansion all i get is that W is given by, nRT*ln(v2/v1). I cannot imagine the W=nRT*ln(v2/v1) being used in this specific problem. This formula would not give a numerical answer anyway, because the problem states no information about volumes.In a isothermal expansion: there is no change in internal energy so it is 0, and the work is done by the system so W is positive Q=+W.. So how do i calculate this W(heat absorbed by the steam) inthis case? is there any magical formula:)

thank you for all input:)!
 
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Under these conditions, steam can be approximated as an ideal gas. What does the ideal gas law tell you about the volume ratio of the process is isothermal and you know the pressure ratio?
 
Chestermiller said:
Under these conditions, steam can be approximated as an ideal gas. What does the ideal gas law tell you about the volume ratio of the process is isothermal and you know the pressure ratio?
ahhh, so (v2/v1) = (p1/p2)? so W=nRT*ln(p1/p2) in this case
 
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