Name: Gay Lussac's and Avogadro's Law
Uploaded: 2019-07-19
Duration: 18 min 33 s
Description: The video beautifully explains the two laws for an easy understanding of the students. Gay Lussac's law and Avogadro's law are explained here. Watch and learn.

Question

What is ideal gas equation? How can it be derived? Also express it in terms of density of the gas.

Accepted Answer

Ideal gas equation is an equation which gives the simultaneous effect of pressure and temperature on the volume of a gas.
Ideal gas equation can be mathematically represented as:
$PV = nRT$
Where, $P$ – pressure of gas
$V$ – Volume of gas
$n$ – Number of moles of gas
$R$ – Universal gas constant
$T$ – Temperature.

Let us consider the pressure exerted by the gas to be ‘ $P$ ,’

The volume of the gas be – ‘ $V$ ’

Temperature be – T

$n$ – be the number of moles of gas

Universal gas constant – $R$

According to Boyle’s Law,

At constant $n & T$ , the volume bears an inverse relation with the pressure exerted by a gas i.e. $V \propto \frac{1}{P}$ ………………………………(i)

According to Charles’ Law,

When $P$ & $n$ are constant, the volume of a gas bears a direct relation with the Temperature.

i.e. $V \propto T$ ………………………………(ii)

According to Avogadro’s Law,

When $P$ & $T$ are constant, then the volume of a gas bears a direct relation with the number of moles of gas.

i.e. $V \propto n$ ………………………………(iii)

Combining all the three equations, we have-
$V \propto nTP$
or $PV = nRT$

where $R$ is the Universal gas constant, which has a value of $8.314 J / molK$ .

Also, in terms of density, it can be represented as following-

$PV = nRT PV = \frac{m}{M} RT \frac{m}{V} = \frac{PM}{RT} d = \frac{PM}{RT}$

where $d$ is the density of gas and $M$ is the molar mass of the gas.

What is ideal gas equation? How can it be derived? Also express it in terms of density of the gas.

Important Questions on States of Matter: Gases and Liquids

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