How Does Compression Affect Air Density in a Cylinder?

In summary, the problem involves a cylinder with 30g of air at a starting volume of 3L and pressure of 0.1MPa. When the piston compresses the air to 0.5MPa, the density of the air will increase as the volume decreases. This can be determined using the Ideal Gas Law formula, where P stands for pressure, V for volume, n for number of moles, R for the gas constant, and T for temperature. As the temperature stays constant, the problem becomes easier to solve.
  • #1
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Homework Statement


in a cylinder there is 30g of air which starts with a volume of 3L and pressure 0.1MPa. What will be the density of the air when the piston of the cylinder compresses the air to 0.5MPa ?


Homework Equations





The Attempt at a Solution

 
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  • #2
Where are you stuck?
PV=nRT, density=mass/volume.
 
  • #3
I don't know where to start
 
  • #4
I'm not really sure, but if we suppose the temperature don't change then the problem is easy.
You are told that the pressure increases by a factor 5. So what can you say about the volume?
Use the formulas I gave you. (are you familiar with them?)
 
  • #5
yes the temperature stays constant. the volume will decrease so the density will increase? I'm not sure how to use the formulas what does each variable stand for?
 
  • #6

1. What is air pressure in a cylinder?

Air pressure in a cylinder refers to the force exerted by the air molecules inside the cylinder against the walls of the container. It is the result of the collisions of the air molecules with the walls of the cylinder.

2. How is air pressure in a cylinder measured?

Air pressure in a cylinder can be measured using a device called a pressure gauge. This tool typically contains a dial or digital display that shows the amount of pressure in units of pounds per square inch (psi) or kilopascals (kPa).

3. What factors affect air pressure in a cylinder?

The main factors that affect air pressure in a cylinder include the volume of the cylinder, the temperature of the air inside, and the number of air molecules present. Other factors such as the type of gas, humidity, and altitude can also impact air pressure.

4. How does air pressure change in a cylinder?

Air pressure in a cylinder changes when the volume of the cylinder is altered, the temperature of the air inside is changed, or when more or less air molecules are added or removed. These changes can cause the air pressure to increase or decrease accordingly.

5. Why is air pressure in a cylinder important?

Air pressure in a cylinder is important because it affects the performance of the equipment that uses it, such as engines or pneumatic tools. It is also crucial in many scientific experiments and industrial processes, and understanding and controlling air pressure is essential for safety and efficiency.

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