The fundamental thermodynamic relation for a rubber band is given by dU = TdS + τdL, where T is the absolute temperature, S is the entropy, τ is the tension in the rubber band, and L is the length of the rubber band. Which one of the following relations is CORRECT:

Question

The fundamental thermodynamic relation for a rubber band is given by dU = TdS + τdL, where T is the absolute temperature, S is the entropy, τ is the tension in the rubber band, and L is the length of the rubber band. Which one of the following relations is CORRECT:

TuteeHUB · Accepted Answer

$\tau = \left(\dfrac{\partial U}{\partial S}\right)_L$

TuteeHUB · Answer

$\left(\dfrac{\partial T}{\partial L}\right)_S = \left(\dfrac{\partial \tau}{\partial S}\right)_L$

TuteeHUB · Answer

$T=\left(\dfrac{\partial U}{\partial S}\right)_\tau$

TuteeHUB · Answer

$\left(\dfrac{\partial T}{\partial S}\right)_L = \left( \dfrac{\partial \tau}{\partial L}\right)_S$

1.	The fundamental thermodynamic relation for a rubber band is given by dU = TdS + τdL, where T is the absolute temperature, S is the entropy, τ is the tension in the rubber band, and L is the length of the rubber band. Which one of the following relations is CORRECT:
A.	\(\left(\dfrac{\partial T}{\partial L}\right)_S = \left(\dfrac{\partial \tau}{\partial S}\right)_L\)
B.	\(\tau = \left(\dfrac{\partial U}{\partial S}\right)_L\)
C.	\(T=\left(\dfrac{\partial U}{\partial S}\right)_\tau\)
D.	\(\left(\dfrac{\partial T}{\partial S}\right)_L = \left( \dfrac{\partial \tau}{\partial L}\right)_S\)
Answer» B. \(\tau = \left(\dfrac{\partial U}{\partial S}\right)_L\)

The fundamental thermodynamic relation for a rubber band is given by dU = TdS + τdL, where T is the absolute temperature, S is the entropy, τ is the tension in the rubber band, and L is the length of the rubber band. Which one of the following relations is CORRECT:

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