Ideal Gases - Physics

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Question

If an ideal gas has its temperature doubled while its volume is cut in half, what happens to its pressure?

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Answer

In this question, we're told that an ideal gas undergoes a change in its temperature and volume, and we're asked to determine how its pressure changes.

First, we'll need to recall the ideal gas equation.

Then, we can rearrange to isolate the term for pressure.

From this expression, we can see that if we double the volume, the pressure will double. Also, cutting the volume in half would double the pressure as well. Therefore, doing both of these would cause the pressure to increase by a factor of .

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