Experimentally one finds that for a rubber band (∂J/ ∂L) |T = (aT/ L0)*( 1 + 2 ( L0/ L)^3) and (∂J/ ∂T
)| L = (aL/ L0)( 1 − ( L0/ L)^3) ,
where T is temperature, J is the tension, a = 1.0 × 103dyn/K, and L0 = 0.5m is the length of the band when no tension is applied. The mass M of the rubber band is held fixed throughout. • Compute (∂L/∂T)J and discuss its physical meaning. • Show that dJ is an exact differential. • Calculate J and hence determine the equation of state.