Question

What is the Ideal gas law?

Answer 1

Hint: We are going to discuss the ideal gas law by combining all the gas laws. To find the Ideal gas law we have to go through another law which upon aggregation gives the Ideal gas law. Ideal gas is defined as a hypothetical gas which does not occupy any space around it and follows all the gas laws.

Complete step by step solution:
To find the Ideal gas law we have to go through another law which upon aggregation gives the Ideal gas law.
Ideal gas is defined as a hypothetical gas which does not occupy any space around it and follows all the gas laws.
Let us discuss about the laws here:
A. Boyle’s Law
If the number of moles $n$ and temperature $T$ is fixed. According to Boyle’s Law when temperature is made constant then the pressure of the gas $P$ is inversely proportional to the volume $V$.
$P\propto {\displaystyle \frac{1}{V}}$
B. Charles’ Law
According to Charles’ Law we get, when the pressure of a gas is fixed then the volume $V$ is directly proportional to the temperature $T$.
$V\propto T$
C. Gay Lussac’s Law
According to Gay Lussac’s Law, when the volume of the gas is made constant then the pressure of the gas $P$ is directly proportional to the temperature $T$.
Combining all the Laws we get,
$PV\propto T$
The constant of proportionality is $R$, where $R$ is the universal gas constant.
Therefore, we get, $PV=RT$ for $1$ mole of gas.
For $n$ moles of gas, we get,
$PV=nRT$ which is the Ideal gas law.

Note:
It must be noted that a normal gas does not obey this law completely, as they occupy some spaces and there happens to be collisions. Ideal gas is defined as a hypothetical gas which does not occupy any space around it and follows all the gas laws.