How Is Work Calculated When Mass and Temperature Change?

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Work calculation in thermodynamic systems involves understanding the relationship between mass, temperature, and height changes. The formula W = mC[P](T[2]-T[1]) + mg(h[2]-h[1]) is crucial for determining work done when mass is removed and the piston rises. It's important to clarify whether the process is isothermal or adiabatic, as this affects the equations used. The mention of C[P] implies an assumption of constant pressure, which should be explicitly stated. A thorough explanation of the approach to each problem is necessary for accurate answers.
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1. Given the set-up in Figure 1, how much work will be done after part of the weight is removed, as shown in Figure 2, knowing only the height the piston rises?



2. W=mC[P](T[2]-T[1])+mg(h[2]-h[1])



3. W=mC[P](T[2]-T[1])+(m[2]-m[1])g(h[2]-h[1])

figure.png
 
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I think you need to go through your posts and explain how you have approached each problem so that we can give you answers that will make sense to you.
 
Is this isothermal, adiabatic or what?
 
Indeed - the equations won't make much sense without some discussion.
The use of ##C_p## kinda suggests constant pressure is assumed doesn't it?
 

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