Solving 3 Gas Mixture: Assumptions & PV=mRT

In summary, the conversation discusses a process where a rigid container is filled with a mixture of three gases, with the pressure gauge reading P[T]. The container is then evacuated and filled with an equal amount of gas A, resulting in a pressure gauge reading of P[A]. This process is repeated for gases B and C, with pressure gauge readings of P[B] and P[C] respectively. The conversation also mentions the equation PV=mRT and that the gases are related by volume, potentially assuming a constant volume and ideal gas behavior. The unit for "amount of gas" is not specified.
  • #1
edwin.07
4
0
1. A rigid container is filled with a mixture of three gases: A, B and C. the pressure gauge reads P[T]. The container is evacuated and fill with an amount of gas A equal to that in the original mixture. The gauge now reads P[A]. This process is repeated for gases B and C with the pressure gauge reading P and P[C]? What assumptions are made?



2. PV=mRT



3. The gases are related by the volume because they might have different pressures, temperatures and mass.
 
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  • #2
I don't see any assumptions made (apart from "the container is filled with gas 4 times"), as there is no analysis described.
I guess an analysis will assume that volume is constant, and it might be a reasonable assumption that all gases are ideal.

What is the unit for "amount of gas" to compare different gases?
 

FAQ: Solving 3 Gas Mixture: Assumptions & PV=mRT

1. What is the purpose of solving a 3 gas mixture?

The purpose of solving a 3 gas mixture is to determine the properties of a mixture of three different gases, such as the total pressure, volume, and temperature. This information can then be used to make calculations and predictions about the behavior of the mixture.

2. What are the assumptions made when solving a 3 gas mixture?

The main assumptions made when solving a 3 gas mixture are that the gases behave ideally (follow the ideal gas law), and that the gases do not react with each other or the container they are in. This means that the total pressure is equal to the sum of the individual pressures of each gas, and the volume and temperature are shared by all the gases in the mixture.

3. How is the ideal gas law used to solve a 3 gas mixture?

The ideal gas law, PV=mRT, is used to relate the pressure, volume, amount of gas (moles), and temperature of each gas in the mixture. By rearranging the equation and plugging in the known values, the unknown properties can be solved for.

4. Can the ideal gas law be used for any type of gas mixture?

No, the ideal gas law can only be used for gas mixtures that behave ideally. This means that the gases must have negligible volume and attractive forces between molecules, and the temperature must be above the boiling point of the gases.

5. How does solving a 3 gas mixture help in real-world applications?

Solving a 3 gas mixture can help in real-world applications by providing important information about the behavior of gases in various situations. This information is useful in industries such as chemical engineering, where knowledge of gas mixtures is necessary for designing and optimizing processes. It can also be used in environmental science, for example, to study air pollution and its effects on human health.

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