Thermodynamics: First Law and Work Done

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7 Questions

In the first law of thermodynamics equation, what does ΔE represent?

Change in the internal energy of the system

What is the work done in an irreversible expansion process?

$W = P riangle V$

When is entropy maximum for a system?

When the system is in equilibrium

What does the second law of thermodynamics state about entropy?

The entropy of the entire universe is always increasing with time

Which process in the Carnot cycle involves an isothermal reversible compression?

$C \rightarrow D$

In the given context, what is the equation of the circle S that passes through the point (0, 1) and is orthogonal to the circles $(x-1)^2 + y^2 = 16$ and $x^2 + y^2 = 1$?

$x^2 + y^2 + 14x - 2y + 1 = 0$ with centre (-7, 1) and radius = 7

For the circle $x^2 + y^2 = r^2$, where $r > \sqrt{5/2}$, what is the location of its center O?

Origin (0,0)

Study Notes

Thermodynamics

  • ΔE in the first law of thermodynamics equation represents the change in internal energy of a system.
  • In an irreversible expansion process, the work done is less than the maximum possible work, as some energy is lost due to friction and other irreversible processes.
  • Entropy is maximum for a system when it is in a state of equilibrium, where all parts of the system have the same temperature.

Second Law of Thermodynamics

  • The second law of thermodynamics states that the total entropy of an isolated system always increases over time, except in reversible processes.

Carnot Cycle

  • The isothermal reversible compression process in the Carnot cycle involves the compression of the gas at a constant temperature.

Geometry

  • The equation of the circle S that passes through the point (0, 1) and is orthogonal to the circles $(x-1)^2 + y^2 = 16$ and $x^2 + y^2 = 1$ can be derived using the given conditions.
  • The center O of the circle $x^2 + y^2 = r^2$, where $r > \sqrt{5/2}$, is located at the origin (0, 0).

Test your knowledge of the first law of thermodynamics and the calculation of work done in different thermodynamic processes. Explore how the internal energy of a system changes with heat transfer and work done.

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