Basic Laws

a) First Law

In the society process that happen according to equation (3), the change in pressure P is indirectly proportional to the change of volume V.

If the initial pressure is P1 and the final pressure is P2 this Law can be written as follows:

P1/P2 = V2/V1 or P1*V1 = P2 * V2 or P * V = const (4).

Pic. 2 shows this Law schematically.

b) Second Law

When gas temperature grows with constant pressure, the volume of gas grows too, and vice versa, when the temperature decreases the gas volume decreases.

This can be written by equation

delta V = k * delta T,

where delta V – change in volume, delta T is change in temperature and k is proportionality coefficient.

This results in the equation

V1/V2 = T1/T2 (5),

where V1, T1 – volume and temperature at point 1, V2, T2 – volume and temperature at point 2.

The corresponding diagram is shown on Pic. 3.

c) Third Law

Let there exists a process АВ (shown on Pic. 4), in which all parameters P,V, T change.

Let us identify the relationship between those.

The law of how it changes is generally unknown, hence we will study it by drawing the line AC with constant temperature T1 and the line CB with constant pressure P2 (see Pic. 4).

For the first line AC according to First Law we have

V1/Vc = Pc/P1.

Since Pc = P2, we have

V1/Vc = P2/P1.

For the line CB according to Second Law we have

Vc/V2 = Tc/T2.

Since Tc = T1, we have

Vc/V2 = T1/T2.

Hence we derive the law

P * V / T = const (6).

As an immediate consequence we obtain

if V → infinity and pressure P = const,

ie. when one individual Egoism grows infinitely,

then temperature T also grows infinitely,