Understanding Thermodynamics for the MCAT

Aug 20, 2024

MCAT Physics Chapter 3: Thermodynamics

Previous Topics Recap

  • Discussed Zeroth Law and First Law of Thermodynamics.
  • Defined heat and examined three methods of heat energy transfer.
  • Discussed specific heat and phase changes.

Thermodynamic Processes

  • Review of work as a change of energy in a system:
    • As a function of force and displacement.
    • As a function of volume and pressure.
  • Thermodynamic processes move systems from one equilibrium state to another:
    • Represented graphically with volume on x-axis and pressure/temperature on y-axis.

Key Thermodynamic Processes

  1. Isothermal Process

    • Constant temperature, no change in internal energy.
    • Appears as a slight tilt on a pressure vs. volume graph.
  2. Adiabatic Process

    • No heat exchange.
    • Appears distinct on a pressure vs. volume graph.
  3. Isovolumetric (Isochoric) Process

    • No change in volume, only pressure changes.
    • No work is done.
  4. Isobaric Process

    • Constant pressure.
    • Appears as a horizontal line on a pressure vs. volume graph.

Second Law of Thermodynamics

  • Objects in thermal contact not in equilibrium will exchange heat to reach equilibrium.
  • Energy spontaneously disperses unless hindered.
  • Entropy
    • Misconception: Entropy as disorder; actually, it's about energy dispersal.
    • Measure of energy dispersal at a specific temperature.
    • Example: Melting ice increases microstates and entropy due to more freedom of movement.
  • Entropy Equation
    • ( \Delta S = \frac{Q}{T} )
    • Units: Joules per mole per Kelvin.
    • Entropy increases with energy distribution into a system, decreases with energy distribution out.

Key Points

  • Concentration of energy requires external work.
  • Refrigerators work against spontaneous heat flow using energy.

Entropy and Process Types

  • Second law correlates with increasing universe entropy.
  • Reversible Process: Delta S = 0; reversible without affecting surroundings.
  • Irreversible Process: Delta S > 0; irreversible with some effect on surroundings.

Example Problem: Change in Entropy

  • Given:
    • 6.66 x 10^4 Joules of heat.
    • 200g ice at 273K melts to water.
    • Heat of fusion of ice: 333 J/K.
  • Solution:
    • Use ( \Delta S = \frac{Q}{T} )
    • Calculate ( \Delta S ):
      • ( \Delta S = \frac{6.66 \times 10^4}{273} = 244 ) Joules per Kelvin.
  • Result: Heat exactly enough to melt ice without changing water temperature.

Ensure understanding of each thermodynamic process and the Second Law of Thermodynamics for MCAT success.

Good luck with your studies!