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Basic equations for Entropy in Thermodynamics

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  1. 1. ENTROPY Reporter: KIM BURNS
  2. 2. What is Entropy? ?
  3. 3. Entropy is the measure of disorder.
  4. 4. PROBLEM What is the change of entropy of 1 kg of ice that is melted reversibly at 0°C and converted to water at 0°C? The heat of fusion of water is 𝐿 𝑓 = 3.34 x 105 J/kg.
  5. 5. Entropy in Reversible Processes.
  6. 6. Integrate for the entire process
  7. 7. PROBLEM One kilogram of water at 0°C is heated to 100°C. Compute its change in entropy. Assume that the specific heat of water is constant at 4190 J/kg.K over this temperature range.
  8. 8. PROBLEM A gas expands adiabatically and reversibly. What is its change in entropy?
  9. 9. Entropy in Cyclic Processes.
  10. 10. PROBLEM A Carnot engine takes 2000 J of heat from a reservoir at 500 K, does some work, and discards some heat to reservoir at 350 K. What is the total entropy change during one cycle?
  11. 11. Entropy in Irreversible Processes.
  12. 12. PROBLEM Suppose 1.00 kg of water at 100°C is placed in thermal contact with 1.00 kg of water at 0°C. What is the total change in entropy? Assume that the specific heat of water is constant at 4190 J/kg.K over its temperature range.
  13. 13. FIN! Any questions?