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what is relation between entropy with temperature

chemistry

  • Sheenu
  • 1251 Views
  • 9 Answers
  Answer
9 Answers

  • We know thatbr /∆S=- ∆q\Tbr /The above relationship show thatbr /Entropy is direcialy proportional to temperature,br /2nd law of thermodynamic prove this relationship also

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  • entropy and temperature are directly proportional to each other.br /​ds=dq/dt.br / br /The same amount of additional heatwill cause different amount of change in entropy.

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  • ∆s=Q/t

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  • The formula is actually better writtenbr /ΔS=Q/T.br /That is, the strongchange/strong in entropy associated with the flow of heat is inversely proportional to the temperature at which the heat flow occurs. Note that Q is already a change itself: it is not a state variable, but rather something more like ΔW. Physically, this is because adding heat to a hot system doesn't disorder it as much as adding the same heat to a cold system.If T is changing, you would need to integratebr /ΔS=∫dS=∫δQ/Tbr /For an ideal gas at constant volume and particle number, it turns outbr /ΔS∝log(Tfinal / Tinitial).br /Thus doubling the temperature does lead to the exponential of S doubling, as you would expect.

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  • If s=q/t.....how is entropy directly proportional to temp

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  • directly proportional to temperature

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  • dS= dQ/dT

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  • directly proportional entropy increase with temperature

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