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).
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![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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc3390318-63ff-45b3-9b60-41b79ba46097%2Fe0c5e4cd-ed56-48a7-87ef-eff5f743c85d%2F6a7hsm5_processed.png&w=3840&q=75)
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).
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