Charles' Law:
Charles' Law states that the volume of a gas is directly proportional to its absolute temperature, provided that the pressure and the number of moles of gas are kept constant.
This law can be expressed mathematically as:
V/T = k
where
- V is the volume of the gas,
- T is the absolute temperature (in Kelvin),
- and k is a constant.
Gas Equation in terms of Density:
The Ideal Gas Law states that the pressure, volume, and temperature of an ideal gas are related by the equation:
PV = nRT,
where
- P is the pressure,
- V is the volume, n is the number of moles of gas,
- R is the Universal Gas Constant,
- and T is the temperature in Kelvin.
By rearranging the Ideal Gas Law equation, we can obtain an expression for the density of a gas in terms of its pressure, temperature, and molar mass:
ρ = m/V = nM/V = PM/RT,
where
- ρ is the density of the gas,
- m is the mass of the gas,
- M is the molar mass, and
- R and T are as defined above.
So, in terms of density, the Ideal Gas Law can be written as: ρ = PM/RT, where P is the pressure, T is the temperature in Kelvin, M is the molar mass, and R is the Universal Gas Constant.