9 Answers
9 Answers
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We know that
∆S=- ∆q\T
The above relationship show that
Entropy is direcialy proportional to temperature,
2nd law of thermodynamic prove this relationship also0Modal content
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entropy and temperature are directly proportional to each other.
ds=dq/dt.
The same amount of additional heatwill cause different amount of change in entropy.0Modal content
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∆s=Q/t0Modal content
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The formula is actually better written
ΔS=Q/T.
That is, the change 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 integrate
ΔS=∫dS=∫δQ/T
For an ideal gas at constant volume and particle number, it turns out
ΔS∝log(Tfinal / Tinitial).
Thus doubling the temperature does lead to the exponential of S doubling, as you would expect.-1Modal content
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If s=q/t.....how is entropy directly proportional to temp1Modal content
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directly proportional to temperature-1Modal content
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dS= dQ/dT0Modal content
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directly proportional entropy increase with temperature0Modal content
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