 ## GOB Chemistry

Learn the toughest concepts covered in your GOB - General, Organic, and Biological Chemistry class with step-by-step video tutorials and practice problems.

Gases, Liquids and Solids

# The Ideal Gas Law Derivations

The Ideal Gas Law Derivations are a convenient way to solve gas calculations involving 2 sets of the same variables.

Ideal Gas Law Derivations
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concept

## The Ideal Gas Law Derivations 47s
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By rearranging the ideal gas law, we can derive new equations connected to pressure volume, moles and temperature. We're gonna say these derivations are required when we have variables with two sets of different values. So basically we'll be we'll be dealing with the question where the ideal gas laws in play and within the question they may give you two pressures and to temperatures or two volumes with two moles. That's when we have to do one of these types of derivations. So just remember, we're still utilizing the ideal gas law, which is changing it a bit when we're dealing with two pressures or two volumes, two moles or to temperatures within any given question. Now that we've seen this, let's go on to our example question in the next video.
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example

## The Ideal Gas Law Derivations Example 1 4m
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Problem

A sample of nitrogen dioxide gas at 130 ºC and 315 torr occupies a volume of 500 mL. What will the gas pressure be if the volume is reduced to 320 mL at 130 ºC?

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Problem

A cylinder with a movable piston contains 0.615 moles of gas and has a volume of 295 mL. What will its volume be if 0.103 moles of gas escaped?

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Problem

On most spray cans it is advised to never expose them to fire. A spray can is used until all that remains is the propellant gas, which has a pressure of 1350 torr at 25 ºC. If the can is then thrown into a fire at 455 ºC, what will be the pressure (in torr) in the can?

a) 750 torr

b) 1800 torr

c) 2190 torr

d) 2850 torr

e) 3300 torr 