Dalton’s Law of Partial Pressure Calculator ,Formula ,Calculation

Dalton’s Law of Partial Pressure Calculator:

Enter the Dalton’s law Total pressure in kPa, Mole fraction Partial pressure kPa, Ideal gas law in Temperature in °C, Volume in m³, Partial pressure in kPa, and  Henry’s law – method 1 in Gas in oxygen, Concentration in M, Partial pressure in kPa.

Partial Pressure Calculator

Dalton’s Law Formula:

Dalton’s law formula is partial pressure of the ideal gas mixture Ptotal is equal to the partial pressure of the nitrogen PN2 and addition the partial pressure of the hydrogen PH2  and addition partial pressure of the oxygen P o2.Hence the Dalton’s law formula can be written as

Ptotal = PN2 + PH2 +P o2

Derivation:

Ptotal = partial pressure of the ideal gas mixture

PN2 = partial pressure of the nitrogen

PH2 = partial pressure of the hydrogen

P o2 = partial pressure of the oxygen

Formula of Mole Fraction:

Xi = ni /ntotal

Xi = mole fraction

Ni =number of moles of an individual gas constituent of the mixture

Ntotal =total number of moles of all constituents of the mixture

Mole fraction is also called amount fraction

Relationship between mole fraction and partial pressure for ideal gases

Mole fraction of an individual gas component of an ideal gas mixture can be expressed as

Xi = ni /n…..(1)

Where n is the number of moles of an individual gas of the ideal gas mixture

N =total number of moles of all constituents of the ideal gas mixture

Xi =mole fraction

Xi = pi /p …..(2)

Pi= partial pressure of an individual gas in the ideal gas mixture

P = total pressure of the ideal gas mixture

Xi = mole fraction

From equation (1) and (2) we can write

Xi =ni / n = pi /p

So partial pressure of an individual gas of the ideal gas mixture can be expressed as

Pi =xi *p

Now as we know mole fraction of gas component in a gas mixture is equal to its volumetric fraction in the gas mixture, so we can write

NX / ntotal = px / ptotal = vx/ vtotal

when nx =moles of the gas component x

ntotal = total number of moles of all components of the mixture

px = partial pressure of gas x

ptotal =total pressure of the gas mixture

vx = partial volume of any individual gas component x

vtotal = total volume of the gas mixture

Example:1

Calculate the mixture of hydrogen gas and oxygen gas exerts a total pressure of 1.8 atm, partial pressure of hydrogen is 2 atm.

Answer:

Given

phydrogen =2 atm, ptotal =1.8 atm

Applying Dalton’s law formula Ptotal =Phydrogen  +Poxygen

Therefore Poxygen =0.8atm

Now the mole fraction of Xoxygen  =(Poxygen / Ptotal) =0.8/1.8=0.44

Therefore, the mole fraction of oxygen in the mixture is 0.44

Example:2

Calculate the  mixture of hydrogen gas and oxygen gas exerts a total pressure of 1.3 atm on the walls of its container. In partial pressure of hydrogen is 4 atm.

Answer:

Given

phydrogen =1 atm, ptotal =1.5 atm

Applying Dalton’s law formula Ptotal =Phydrogen  +Poxygen

Therefore Poxygen =0.5atm

Now the mole fraction of Xoxygen  =(Poxygen / Ptotal) =0.5/1.5=0.33

Therefore, the mole fraction of oxygen in the mixture is 0.33

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