Various laws for gases Assignment Help

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Boyle's law:

At a fixed temperature, the volume of the given mass of gas is inversely proportional to its pressure.

P ∝ 1/V or PV = constant or P1V1 = P2 V2.  This law is perfectly ruled at high temperature and low pressure of a gas.

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Charle's law

At fixed pressure the volume of a given mass of gas is directly proportional to its absolute temperature.

V ∝ T or V/T = Constant => V1/T1=V2/T2 => V1T2 = V2T1     T1Ρ1= T2 Ρ2

At constant pressure the volume of a given man of gas increases by 1/273 of its volume of 0°C for 1°C gain in its temperature. 

Vt = Vo[1+ (1/273)t] 

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Gay Lussac's law:

Gay Lussac's law on kelvin scale defines that volume having constant, the pressure of the required mass of a gas is directly Proportional to its kelvin temperature.

            P ∝ T . P1/T1=P2T2

It said that the volume remaining fixed, the pressure of a given man of a gas decrease or increases by 1/273.15 of its pressure at 0°C for each 1°C rise or fall in temperature Pt = Po{1+(1*t)/273.15}

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Dalton's law of partial pressure:

The net pressure exerted by the mixture of in passive gases in a vessel is same to the sum of partial pressure due to individual gases P = P1 + P2 +P3   .......

 

Avogadro's law:

It defines that same volumes of all gases under identical conditions of pressure and temperature, contain the similar number of molecules. If P1 = P2 ,V1 = V2, T1 = T2     then n1 = n2

 

Graham's law of diffusion:

It defines that the rates of diffusion of two gases are inversely proportional to the square roots of their densities r ∝1/√Ρ; Where r = Rate of diffusion, Ρ = density of gas.

 

Ideal gas equation:

It is a relation which relates to the pressure, temperature and volume of the given state of an ideal gas.

PV = RT

            for 1 mole of gas

PV = nRT

            for n mole of gas

PV = rT

            for 1 gram of gas

PV = nrT

            for n gram of gas

PV = KT

            for 1 molecule of gas

PV = nKT

            for n molecule of gas

 R = universal gas constant; r = specific gas constant;  k = Boltzmann's constant ; P = pressure

V = volume; T = temperature

 

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