Chemistry Revision Notes Of Gas Laws
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Gas Laws

Gaseous state is the simple state of the matter. The behaviour of gases is governed by some general laws known as Gas laws. These laws are relationships between temperature, pressure, volume and mass.

Gas laws are as follows :

Boyle's Law According to Boyle's law, at constant temperature, pressure of a gas varies inversely with its volume.

`p prop 1/V \ \ \ \ \ \ [ " at constant T " ]`

`=> pV = K \ \ \ \ \ \ \ \ \ \ [ K = "constant" ]`

`p_1V_1 = p_2V_2`


Charles' Law According to this law, at constant pressure the volume of a given mass of a gas varies directly with
its temperature.

`V prop T \ \ \ \ \ \ \ \ \ \ \ \ \ \ [ "at constant p"]`

`V = KT \ \ \ \ \ \ \ \ \ \ \ \ [K= "constant"]`

`=> V/T = K`

`=> V_1/T_1 = V_2/T_2`

Bursting of hydrogen balloon and making of chappati are the applications of Charles' law.

Gay-Lussac's Law Aco)rding to this law, "At a constant volume, the pressure of a given mass of a gas is directly proportional to its absolute temperature."


`p prop T` or `p/T = "constant", p_1/T_1 = p_2/T_2`


Avogadro's Law Under similar conditions of temperature and pressure, equal Volume of all gases contain equal number of molecules .

or

At a given temperature and pressure, the volume of any gas is directly proportional to the number of moles of gas.
`V prop n` where, `n =` number of moles

`V/n = K "(constant)"`

Dalton's Law of Partial Pressure

According to this law, if two or more gases, which do not react chemically, are enclosed in a vessel, the total pressure e>:erted by the gaseom mixture is the sum of partial pressures exerted by the constituent gases".

`p = p_1+p_2+p_3`

where, `p =` Total pressure of mixture

`p_1 , p_2 , p_3 ...............` = Partial pressures of gases 1 , 2 , 3 , ......................

IDEAL GAS

The gas which obeys gas laws at all conditions of temperature and pressure is known as ideal gas.

Characteristics of an Ideal Gas

These are as follows :

(i) It obeys Boyle's law, Charles' law and Avogadro's law at all conditions of temperature and pressure.

(ii) It is hypothetical.

(iii) Attractive forces among the molecules do not exist therefore an ideal gas cannot be converted into liquid or solid.

Note : Real gases show ideal behaviour only at low pressure and high temperature. `H_2, O_2, N_2` etc. are real gases.

Ideal Gas Equation

From Boyle's law and Charles' law,

we have `(PV)/T = "constant"` .....................(i)

for 1 mole gas, `(p_1V_1)/T_1 = (p_2V_2)/T_2` ...................(ii)

This relation is known as gas equation.

Therefore gas equation for 1 mole gas , `(pV)/T = R` or `pV = RT`

For `n` mole gas, `pV = nRT` or `pV = W/M RT` or `pM = dRT`

Where, `W =` mass of a gas, `M =` molar mass of a gas, `d =` density of a gas, `p =` pressure of a gas, `T =` temperature
in Kelvin, `V =` volume

Here, `R` is a gas constant (universal gas constant). Its different values are as follows:

`R = 0.0821 L atm mol^(-1) K^(-1)`

` = 8.314 xx 10^7 erg mol^(-1) K^(-1) = 1.99 cal mol^(-1) K^(-1)`


 
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