Chemistry Practice Problems Kinetic Molecular Theory Practice Problems Solution: Consider the sample of gas depicted below:What wou...

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Solution: Consider the sample of gas depicted below:What would the drawing look like if the volume and temperature remained constant while you removed enough of the gas to decrease the pressure by a factor of 2?

Problem

Consider the sample of gas depicted below:

A diagram showing a group of gas molecules.

What would the drawing look like if the volume and temperature remained constant while you removed enough of the gas to decrease the pressure by a factor of 2?

Solution

We have to find out what would this picture look like if we wanted to decrease the pressure by a factor of 2.

This means that we have to establish a relation between pressure and amount of a gas.


Recall from the ideal gas equation:

<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>P</mi><mi>V</mi><mo>&#xA0;</mo><mo>=</mo><mo>&#xA0;</mo><mi>n</mi><mi>R</mi><mi>T</mi></math>


It could be rearranged as:

<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>P</mi><mo>&#xA0;</mo><mo>=</mo><mfrac><mrow><mo>&#xA0;</mo><mi>n</mi><mi>R</mi><mi>T</mi></mrow><mi>V</mi></mfrac></math>


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