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One way to "derive" the thermodynamic definition for entropy is simply to recognize that its thermodynamic definition must be a state function, and all thermodynamic state functions are worthy of giving a special name and carry special meaning. a) Starting with the First Law of Thermodynamics (expressed either of 2 ways) AU = q + w dU = dq + dw show all the steps and assumptions/conditions required to arrive at the new expression below, which includes the definition of entropy:

One way to "derive" the thermodynamic definition for entropy is simply to recognize that its thermodynamic definition must be a state function, and all thermodynamic state functions are worthy of giving a special name and carry special meaning. a) Starting with the First Law of Thermodynamics (expressed either of 2 ways) AU = q + w dU = dq + dw show all the steps and assumptions/conditions required to arrive at the new expression below, which includes the definition of entropy:

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One way to "derive" the thermodynamic definition for entropy is simply to recognize that its thermodynamic definition must be a state function, and all thermodynamic state functions are worthy of giving a special name and carry special meaning. a) Starting with the First Law of Thermodynamics (expressed either of 2 ways) AU = q + w du = dq + dw show all the steps and assumptions/conditions required to arrive at the new expression below, which includes the definition of entropy: AS - arev AU T T - nRln () arev must be state function. b) Using your result from part (a), explain why T To be explicit, explain why entropy must defined by (P, V, T) alone, and any change between the same 2 states, (P₁, V₁, T₁). and (P2, V2, T2), regardless of path, will give the same change in entropy.
Transcribed Image Text:One way to "derive" the thermodynamic definition for entropy is simply to recognize that its thermodynamic definition must be a state function, and all thermodynamic state functions are worthy of giving a special name and carry special meaning. a) Starting with the First Law of Thermodynamics (expressed either of 2 ways) AU = q + w du = dq + dw show all the steps and assumptions/conditions required to arrive at the new expression below, which includes the definition of entropy: AS - arev AU T T - nRln () arev must be state function. b) Using your result from part (a), explain why T To be explicit, explain why entropy must defined by (P, V, T) alone, and any change between the same 2 states, (P₁, V₁, T₁). and (P2, V2, T2), regardless of path, will give the same change in entropy.
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