Question

What is an ideal gas law? How did scientist arrive at the present day ideal gas equation. (Hint: explain different gas laws and how you come to ideal gas law equation using all the laws)

Answer 1

As per your question, First, we discussed all different gas law.

1 . Boyles Law:- According to this law, the pressure of a gas is inversely proportional to its volume.

2. Charles' Law: According to this law, the volume of a gas is proportional to its temperature.

3.Gay-Lussac's Law: According to this law, the temperature of a gas is directly proportional to its pressure.

4. Avogadro's Law: Equal volumes of all ideal gases (at the same temperature and pressure) contain the same number of molecules.

For above three Law, Below are the equation :

On combinig above law, we get ideal law :

V proportional to nT/P

for removing a propertionality sign, we multiply it by R( gas constant)

so, Ideal law equation is given by- PV= nRT

IDEAL GAS LAW- An ideal gas is defined when there are assumptions which we follow. These are:-

All collisions between atoms or molecules are perfectly eleastic and in which there are no intermolecular attractive forces.

All the internal energy is in the form of kinetic energy and If there is any change in internal energy which is accompanied by a change in temperature.

By concluding above assumption, The temperature is proportional to this average kinetic energy.

Where R = Gas constant, k= Boltzmann constant

Hope you get it what you want.