Experiments show that the retractive force f of polymeric elastomers as a function of tem- perature T and expansion L is approximately given by f(T, L) = aT (L – L。) where a and Lo are constants. (a) Use Maxwell relations to determine the entropy and enthalpy, S(L) and H(L), at constant T and p. (b) If you adiabatically stretch a rubber band by a small amount its temperature increases, but its volume does not change. Derive an expression for its temperature T as a function of L, Lo, a, and its heat capacity C = = (ƏU/ƏT).
Experiments show that the retractive force f of polymeric elastomers as a function of tem- perature T and expansion L is approximately given by f(T, L) = aT (L – L。) where a and Lo are constants. (a) Use Maxwell relations to determine the entropy and enthalpy, S(L) and H(L), at constant T and p. (b) If you adiabatically stretch a rubber band by a small amount its temperature increases, but its volume does not change. Derive an expression for its temperature T as a function of L, Lo, a, and its heat capacity C = = (ƏU/ƏT).
Related questions
Question
Answer the following question, showing all work.
Transcribed Image Text:Experiments show that the retractive force f of polymeric elastomers as a function of tem-
perature T and expansion L is approximately given by f(T, L) = aT (L – Lo) where a and
Lo are constants.
(a) Use Maxwell relations to determine the entropy and enthalpy, S(L) and H(L), at
constant T and p.
(b) If you adiabatically stretch a rubber band by a small amount its temperature increases,
but its volume does not change. Derive an expression for its temperature T as a
function of L, Lo, a, and its heat capacity C = (@U/ƏT).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps
