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Solved Exercises

Learn how to solve and use the Ideal Gas equation in a simpler way. 2 different word problems have been provided and have been solved step by step with answers which will hopefully help the understanding of the equation and how it can be truly helpful in real life. 

Example Exercise 1

The problem:

 

There are 4.5 moles of Helium gas in a container. The sample of helium gas has a pressure of 3.2 atm and a temperature of 25°C, what is the volume of the gas (in Liters)? 

The equation that will be used is PV = nRT

Step 1: 

In this specific problem, we need to solve for volume (V) which is measured in Liters (L). But first, we need to convert the temperature which is Celsius, to Kelvin using this:

Screen Shot 2019-03-17 at 9.01.49 PM.png

Step 2: 

Write the ideal gas law equation and determine what the variable the question wants solved is:

Screen Shot 2019-03-17 at 9.01.55 PM.png

Step 3: 

Write the equation that will be used to solve the equation and cancel out common terms to be left with V (volume only): 

 

*Rearrange the formula divide each side of the equation by P (pressure) to get V (volume) alone by itself*

Screen Shot 2019-03-17 at 9.02.03 PM.png

Step 4: 

Plug in the variables into the equation: 

Screen Shot 2019-03-17 at 9.02.07 PM.png

Step 5: 

Cancel out common terms to be left with Liters because the volume of the helium gas has to be found as a result: 

Screen Shot 2019-03-17 at 9.02.12 PM.png

Step 6: 

Calculate the remaining numbers - 4.5, 298, 3.2 and 0.0821 and get the final answer:

*Multiply the amount of gas 4.5 (mol), temperature (298 K) and the constant (0.0821 L) and divide that number by the pressure (3.2 atm)*

Screen Shot 2019-03-19 at 9.14.53 PM.png
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