- The pressure exerted by an individual gas in a mixture is known as its partial pressure, for example Oxygen and Carbon Dioxide. Always assume that the given gas mixture behaves ideally, or follows the ideal gas law, with this assumption, it is easier to solve problems involving gas mixtures. The Dalton's Law of Partial Pressure states that the total pressure of the gas mixture is equal to the sum of each gas mixture individual components. In mathematics, Pa + Pb + . . . + Pn is equal to Pmix; Where P is the partial pressure of components a to n, and Pmix or Pressure of the mixture is the total pressure of the gas mixture: In addition, the Dalton's law can also be expressed using the mole fraction of a gas: Pa = XaPmix or partial pressure of the gas "a" is equal to the mole fraction of gas "a" multiplied by the total pressure or the pressure of the gas mixture.
Question and Solution: What is the total pressure and mole fraction of 0.750 atm and 1.2 atm ?
→ As the the Dalton's Law stated, the total pressure of a gas mixture is equal to the sum of the partial pressure of each individual components, that is
For the mole fraction of Oxygen, we can solve it using the total pressure exerted by the gas mixture which is 1.95 atm; So, , rearranging the equation; Mole fraction of Oxygen is, , For the mole fraction of Carbon Dioxide; .
Take note that the sum of the mole fraction of each individual gases is equal to unity. That means regardless of the number of the components of a gas mixture, their total mole fraction is always equal to 1 (one).
Therefore, you can also solve the mole fraction of the Carbon Dioxide gas using 1 - 0.3846 = 0.6154 → which yielded the same answer using the dalton's law formula.
Answers & Comments
Verified answer
The Dalton's Law of Partial Pressure
Answer:
Ptotal = 1.95 atmospheres
Mole fraction Oxygen = 0.3846
Mole fraction Carbon Dioxide = 0.6154
Explanation
- The pressure exerted by an individual gas in a mixture is known as its partial pressure, for example Oxygen and Carbon Dioxide. Always assume that the given gas mixture behaves ideally, or follows the ideal gas law, with this assumption, it is easier to solve problems involving gas mixtures. The Dalton's Law of Partial Pressure states that the total pressure of the gas mixture is equal to the sum of each gas mixture individual components. In mathematics, Pa + Pb + . . . + Pn is equal to Pmix; Where P is the partial pressure of components a to n, and Pmix or Pressure of the mixture is the total pressure of the gas mixture: In addition, the Dalton's law can also be expressed using the mole fraction of a gas: Pa = XaPmix or partial pressure of the gas "a" is equal to the mole fraction of gas "a" multiplied by the total pressure or the pressure of the gas mixture.
Question and Solution: What is the total pressure and mole fraction of 0.750 atm
and 1.2 atm 
?
→ As the the Dalton's Law stated, the total pressure of a gas mixture is equal to the sum of the partial pressure of each individual components, that is
For the mole fraction of Oxygen, we can solve it using the total pressure exerted by the gas mixture which is 1.95 atm; So,
, rearranging the equation; Mole fraction of Oxygen is, 
, For the mole fraction of Carbon Dioxide; 
.
Take note that the sum of the mole fraction of each individual gases is equal to unity. That means regardless of the number of the components of a gas mixture, their total mole fraction is always equal to 1 (one).
Therefore, you can also solve the mole fraction of the Carbon Dioxide gas using 1 - 0.3846 = 0.6154 → which yielded the same answer using the dalton's law formula.
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