How Does Compression Affect Air Density in a Cylinder?

AI Thread Summary
In a cylinder containing 30g of air at an initial volume of 3L and pressure of 0.1MPa, the problem explores how air density changes when the pressure is increased to 0.5MPa. Assuming constant temperature, the volume will decrease as pressure increases, leading to an increase in density. The ideal gas law (PV=nRT) is relevant for understanding the relationship between pressure, volume, and density. Participants in the discussion emphasize the importance of recognizing how changes in pressure affect volume and density. Understanding these relationships is crucial for solving the problem effectively.
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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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Where are you stuck?
PV=nRT, density=mass/volume.
 
I don't know where to start
 
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?)
 
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?
 

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