Discover and read the best of Twitter Threads about #thermofact
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#thermofact
What does the Boltzmann constant mean?
1/ Temperature has many units, among which are Kelvin and Joule. The two units covert as
1 Kelvin = 1.380649 × 10^−23 Joule
This conversion factor is called the Boltzmann constant, k.
It is analogous to
1 inch = 2.54 cm
What does the Boltzmann constant mean?
1/ Temperature has many units, among which are Kelvin and Joule. The two units covert as
1 Kelvin = 1.380649 × 10^−23 Joule
This conversion factor is called the Boltzmann constant, k.
It is analogous to
1 inch = 2.54 cm
2/ It looks silly to name an unsightly conversion factor after three great names: Joule, Kelvin, and Boltzmann.
All units are silly, but they are necessary evils.
Let's learn about the two units of temperature, Kelvin and Joule.
All units are silly, but they are necessary evils.
Let's learn about the two units of temperature, Kelvin and Joule.
3/ Entropy of an isolated system is defined as the logarithm of the number of quantum states of the isolated system:
S = log Ω
For a thermal system, which transfers energy with surroundings, entropy is a function of energy, S(U).
Temperature T is defined by
1/T = dS(U)/dU
S = log Ω
For a thermal system, which transfers energy with surroundings, entropy is a function of energy, S(U).
Temperature T is defined by
1/T = dS(U)/dU
#thermofact
Thermodynamics of phase transition
1/10 This thread focuses on a simple case, which illustrates the thermodynamic method.
Make a system of one species of molecules.
Neglect change in volume.
Thus, the system has a single independent variable: energy.
Thermodynamics of phase transition
1/10 This thread focuses on a simple case, which illustrates the thermodynamic method.
Make a system of one species of molecules.
Neglect change in volume.
Thus, the system has a single independent variable: energy.
2/10 Consider a system of H2O molecules and two phases, ice and water. Change in volume is small, and is neglected in this model.
Water is a phase, which can be in many states. The same is true for ice.
Water and ice can equilibrate in mixtures.
Water is a phase, which can be in many states. The same is true for ice.
Water and ice can equilibrate in mixtures.
3/10 Let u be the average energy per molecule, and s be the average entropy per molecule.
Draw a u-s plane.
On the u-s plane, each pure state corresponds to a point, and all pure states correspond to a set of points.
Draw a u-s plane.
On the u-s plane, each pure state corresponds to a point, and all pure states correspond to a set of points.
