List of formulas related to Gas Laws

Kelvin Temprerature

T: temperature in Kelvin scale, t: temperature in Celsius scale

T = t^oC + 273(K)

Equation Of State

p: pressure(P, Pascal), V: volume(m³), n: number of moles of the gas(mol), R: universal gas constant, T: Kelvin temperature of the gas (K), k: Boltzmann’s constant, N: number of molecules in the gas.

pV = nRT = NkT

k = 1.38(24) X 10^-23J/K

k = 8.617(15) X 10^-5eV/K

R = 8.314J/mol.K

Ideal Gas Law

$\frac{p_1 V_1}{T_1} = \frac{p_2 V_2}{T_2}$

$\frac{p V}{T} = constant$

Boyle's Law For Pressure

If the temperature of the gas is constant

pV = constant

p₁V₁ = p₂V₂ = ....p_nV_n

Gay-Lussac's Law Of Pressure-Temperature

If tha volume on a gas is constant

$\frac{P}{T} = constant$

$\frac{P_1}{T_1} = \frac{P_2}{T_2} = ..... = \frac{P_n}{T_n}$

P: pressure of gas at temperature t, p_o; pressure at 0 celsius, γ: factor when volume is constant

$p = p_0 (1 + \gamma t)$

$= p_0( 1 + \frac{1}{273} t)$

$\text{Example when t=0 kelvin}$

$t = \frac{-1}{\gamma} = -273^o C$

$p = p_0( 1 + \gamma \frac{-1}{\gamma}) = 0$

Charle's Law Of Volumes

If the pressure on a gas is constant

$\frac{V}{T} = constant$

$\frac{V_1}{T_1} = \frac{V_2}{T_2} = ..... = \frac{V_n}{T_n}$