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:
\(\left(\dfrac{\partial T}{\partial L}\right)_S = \left(\dfrac{\partial \tau}{\partial S}\right)_L\)
From U(S,L), \(T=(\partial U/\partial S)_L\) and \(\tau=(\partial U/\partial L)_S\). Equality of mixed second derivatives gives \((\partial T/\partial L)_S=(\partial\tau/\partial S)_L\).
Important Questions from Thermodynamic Relations
Reversible adiabatic process may be expressed as (T1/T2) equal to
The relation for specific heats is given by
The property relation for enthalpy change, dh is:
- The Joule -Thompson coefficient for an ideal gas is _______.
Which of the following is correct? [h = specific enthalpy of substance, u = specific internal energy of substance, P = pressure of substance, ρ = density of substance.]
