Effect on Volume of a Change in the Pressure of Compressible Gas

In summary, the question is asking if the available volume of oxygen gas for patients will increase when the pressure is decreased from 12.4 MPa to 500 KPa, and whether Boyle's Law is the best way to calculate this. The conversation also discusses other factors such as the total mass of oxygen available and the pressure at which it is administered to patients.
  • #1
rjomega
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TL;DR Summary
From 12.4 MPa and 5660 L in pressurized cylinder to 500KPa will Volume available increase?
Will the available Volume of oxygen gas for use of patients increase when the pressure decreases from 12.4 MPa to 500 KPa?
Is using boyle's law the right way to calculate the available volume?
 
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  • #2
Welcome to the PF. :smile:

Is this question for schoolwork? If so, we can move it to the Homework Help forums where schoolwork is posted.

Also, what other constraints are there on this change in pressure? Is it isothermal? Other than Boyle's Law, is there another more detailed Law that could also apply?
 
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  • #3
rjomega said:
Will the available Volume of oxygen gas for use of patients increase when the pressure decreases from 12.4 MPa to 500 KPa?
If the pressure is reduced the volume will increase.

Is the 5660 litre you quote the volume of oxygen gas at atmospheric pressure, that has then been stored in a smaller ( ≈45.5 litre) portable cylinder at 12.4 MPa, or is 5660 litre the volume of a big high pressure storage cylinder that is about 6 metres long ?

Why 500 kPa ? That is five atmospheres. Unless the patient is in a hyperbaric chamber the patient will breath oxygen at 1 atmosphere pressure. If distributed within a hospital at 5 atm, the pressure will be reduced to 100 kPa where it is administered to the patient.

The important thing is the total mass of oxygen available. That is independent of the pressure and volume used to store or distribute the gas to patients. Efficient expansion is not important for medical oxygen delivery.
 
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1. How does the pressure of a compressible gas affect its volume?

The pressure of a compressible gas is directly proportional to its volume. This means that as the pressure increases, the volume decreases, and vice versa. This relationship is known as Boyle's Law.

2. What factors can cause a change in the pressure of a compressible gas?

The pressure of a compressible gas can be changed by altering the temperature, amount of gas present, or the volume of the container it is in. Additionally, external factors such as gravity or external forces can also impact the pressure of a gas.

3. How does a change in pressure affect the density of a compressible gas?

The density of a compressible gas is also affected by changes in pressure. As the pressure increases, the gas molecules are pushed closer together, resulting in a higher density. Conversely, a decrease in pressure will cause the gas molecules to spread out, resulting in a lower density.

4. Can the volume of a compressible gas be changed without changing its pressure?

Yes, the volume of a compressible gas can be changed without changing its pressure by altering the temperature. According to Charles's Law, as the temperature of a gas increases, its volume also increases, and vice versa.

5. How does the ideal gas law relate to the effect of pressure on the volume of a compressible gas?

The ideal gas law, which states that the product of pressure and volume is directly proportional to the number of moles of gas and its temperature, can be used to explain the effect of pressure on the volume of a compressible gas. As the pressure increases, the volume decreases, and the other variables in the equation remain constant, resulting in an overall decrease in volume.

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