Saturday, March 23, 2013

Elastic Strip (Rubber Band or Balloon) Thermodynamics


Some elastic polymers heat up when they are stretched (and cool down again when they are allowed to relax back to their original position).  These temperature changes can be demonstrated by stretching thin polymer strips such as rubber bands, deflated balloons and even plastic grocery bags.  These temperature changes can be detected with thermometers that can monitor the temperature of surfaces or by placing the polymer strip against your upper lip - a temperature-sensitive body part.
The origin of this thermal behavior lies within the attractions between the chainlike molecules of the polymer.  In an unstretched polymer, the molecular chains are tangled like a plate of spaghetti.  In this tangled arrangement the molecules do have optimum contact (or optimum attraction) between the chains.  When the polymer is stretched, the molecular chains are pulled into alignment in the direction of stretching and have greater contact (and greater attraction) with each other.   When attractive forces are satisfied, energy is released.  In this case the energy is released in the form of heat.  When the polymer is released and the chains move back to their original position against their attractive forces, energy is consumed and the polymer cools down.
This polymer strip behavior can also be explained using more in-depth thermodynamic concepts such as enthalpy (H), temperature (T), entropy (S), and Gibbs free energy (G).  These concepts can be connected by the mathematical relationship that states that the change in Gibbs energy (G) for a process is equal to its change in enthalpy (H) minus the absolute temperature (T) multiplied by the change in entropy (S).  Stretching the strip is nonspontaneous, with a positive value of for its change in free energy, and its change in enthalpy must be negative, since the strip heats up and indicates an exothermic process.  Mathematically, its change in entropy must be negative.  This happens because as the strip is stretched and the molecular chains are pulled into alignment, the disorder within the plastic strip decreases.  Releasing the strip and allowing it to contract to its original shape is spontaneous with a negative change in free energy, and the change in enthalpy must be positive, since the strip cools down as it contracts.  Therefore the change in entropy must be positive.  This happens because as the strip relaxes and the molecular chains are moved out of alignment, the disorder within the elastic strip increases.



The pictures show a non-contact thermometer measuring the temperature of a relaxed and stretched deflated balloon.  Sorry about the rotated picture - there is a glitch in my software.

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