Question #37997

Two identical cylinders contain Helium at 2.5 atm and Argon at 1 atm respectively.If both the gases are transferred in one of the cylinders,what will be the new pressure?

Expert's answer

Answer on Question #37997, Physics, Other

Question:

Two identical cylinders contain Helium at 2.5 atm and Argon at 1 atm respectively. If both the gases are transferred in one of the cylinders, what will be the new pressure?

Answer:

Dalton's law (also called Dalton's law of partial pressures) states that the total pressure exerted by the mixture of non-reactive gases is equal to the sum of the partial pressures of individual gases. Mathematically, the pressure of a mixture of gases can be defined as the summation:


Ptotal=iPiP_{total} = \sum_{i} P_{i}


where PiP_{i} represents the partial pressure of the each component.

We have 2 components: Helium and Argon therefore:


Ptotal=PArgon+PHelium=1 atm+2.5 atm=3.5 atmP_{total} = P_{Argon} + P_{Helium} = 1 \text{ atm} + 2.5 \text{ atm} = 3.5 \text{ atm}


Answer: 3.5 atm

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