predloveTes predloveTes
  • 24-04-2017
  • Physics
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Is entropy a function of temperature for ideal gases?

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Erudite1
Erudite1 Erudite1
  • 26-04-2017
Yes, entropy is a function of temperature for ideal gases. Changes in temperature affect the entropy of ideal gases.
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Edufirst
Edufirst Edufirst
  • 02-05-2017
Yes, entropy is a function of temperature for ideal gases.

The change of entropy of a substance is given by the relationship ΔS = ∫ dQre/T

And dQ =  dU + P dV

For an ideal gas both U and V are a function of de T.

=> dS = [dU]/T + P[dV]/T,

dU = Cv dT

PdV = nRT/V

=> dS = Cv [dT] / T + nR[dV] / V

There you can see that the change of entropy, dS, is a function of T.
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