Thermodynamics formulae sheet

Crying on the formulae sheet - physics edition



Covering the thermodynamics basics, this messy and all over the place piece is a methaphor for all the sweat and tears that some students go through when preparing for their finals. It's packed with real formule and mathematic relationships, featuring the ideal gas law in the centre and all the other formulas derived from it, the 1st principle of thermodynamics, mechanical work calculation, Robert Mayer relationships as well as 3 graphics of the (in)famous Otto, Carnot and Diesel cycles.

The ideal gas ecuation (and the basis of all thermodynamic principles) describes the correlation between different variables that can influence the status of the gas. Those variables are: pressure, temperature, volume, R, and number of moles (the quantity of the gas).

Symple processes:

In an isobaric process P is constant;

In an isochore process V stays constant;

In an isothermal process T does not change;

In an adiabatic process there is no heat exchange ( ΔQ= 0);

Carnot cycle - expansion (1-2 isothermal), expansion (2-3 adiabatic), and compression (3-4 isothermal), compression (4-5 adiabatic). All reversible in theory only.

Otto cycle - aspiration (1-2 isobaric), compression (2-3 adiabatic), burning (3-4 isochore), expansion (4-5 adiabatic) and last isochore process (5-2). All reversible in theory only.

Diesel cycle - compression (1-2 adiabatic), burning (2-3 isobaric) and expansion (3-4 adiabatic) followed by last isochore process (4-1)

Symbols:

U - energy, ΔU- change in energy

Q - heat

ν - no. of moles

μ - molar mass

ρ - density

P - pressure, ΔP - change in pressure

V - volume, ΔV - change in volume

T - temperature, ΔT - change in temperature

R - gas constant

L - mechanical work

ln - natural logarithm (in e)

Cp/ cp - molar/ specific heat when ΔP = 0

Cv/ cv - molar/ specific heat when ΔV = 0

Avogadro's number: 6.022 × 10^23

Done in Studio Clip Paint