5. Consider now that the energy of the parallel and antiparallel states are equal, 𝜀+ = 𝜀β, then the tot
Posted: Thu Jun 09, 2022 4:08 pm
5. Consider now that the energy of the parallel and antiparallel
states are equal, π+ = πβ, then the total energy of the system is
πΈ= ππ. And if the length of the rubber band is πΏ, and the size of
each monomer is π, write the relationship for the length in terms
of π. In other words calculate the length taking into
account how many monomers we have of one type and of other.
6. Using the partial derivative of entropy with respect to
length that you got in 2, show that the following relationship is
true:
Note that both partial derivatives are considering E
constant
7. Next use your result for the entropy you got at 4 and your
length found at 5 to substitute into the expression in 6 and
isolate appropriately to find the function of the tension of the
league
8. Plot this result as a function of length for different
valuesββof the temperature.
9. Using your result in 7, show that for πΏβͺππ (when there are
many monomers bent together) and using ln (1 + π₯)βπ₯ the equation
for the tension reduces to the law of Hook
Considering:
https://www.answers.com/homework-help/que ... -q98933281
T 614 || as - (), / () B (an) an E E T
kT T(T,L) = β 2/2 ln (1 β β/a) In - 2a na
T = KT βL 2naΒ²
states are equal, π+ = πβ, then the total energy of the system is
πΈ= ππ. And if the length of the rubber band is πΏ, and the size of
each monomer is π, write the relationship for the length in terms
of π. In other words calculate the length taking into
account how many monomers we have of one type and of other.
6. Using the partial derivative of entropy with respect to
length that you got in 2, show that the following relationship is
true:
Note that both partial derivatives are considering E
constant
7. Next use your result for the entropy you got at 4 and your
length found at 5 to substitute into the expression in 6 and
isolate appropriately to find the function of the tension of the
league
8. Plot this result as a function of length for different
valuesββof the temperature.
9. Using your result in 7, show that for πΏβͺππ (when there are
many monomers bent together) and using ln (1 + π₯)βπ₯ the equation
for the tension reduces to the law of Hook
Considering:
https://www.answers.com/homework-help/que ... -q98933281
T 614 || as - (), / () B (an) an E E T
kT T(T,L) = β 2/2 ln (1 β β/a) In - 2a na
T = KT βL 2naΒ²