# Problem: A sample of gas has an initial volume of 13.8 L at a pressure of 1.26 atm .If the sample is compressed to a volume of 10.8 L , what is its pressure?

###### FREE Expert Solution

The initial and final pressure and volume of the gas are related by Boyle’s Law:

$\overline{){{\mathbf{P}}}_{{\mathbf{1}}}{{\mathbf{V}}}_{{\mathbf{1}}}{\mathbf{=}}{{\mathbf{P}}}_{{\mathbf{2}}}{{\mathbf{V}}}_{{\mathbf{2}}}}$

We can use Boyle’s law as long as the units for the initial and final values are the same.

We can rearrange the combined gas law to solve for P2:

$\overline{){{\mathbf{P}}}_{{\mathbf{2}}}{\mathbf{=}}\frac{{\mathbf{P}}_{\mathbf{1}}{\mathbf{V}}_{\mathbf{1}}}{{\mathbf{V}}_{\mathbf{2}}}}$

94% (245 ratings) ###### Problem Details
A sample of gas has an initial volume of 13.8 L at a pressure of 1.26 atm .

If the sample is compressed to a volume of 10.8 L , what is its pressure?

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Our tutors have indicated that to solve this problem you will need to apply the The Ideal Gas Law Derivations concept. You can view video lessons to learn The Ideal Gas Law Derivations. Or if you need more The Ideal Gas Law Derivations practice, you can also practice The Ideal Gas Law Derivations practice problems.