A can of coke contains 25 ML of carbon dioxide gas at 100 kpa . If you take it on a hike up Mount Everest and pressure to 50 Kpa what will the new volume of the carbon dioxide gas in your coke can be ?

The answer for the following problem is mentioned below.

Explanation:

Given:

Pressure of carbon dioxide gas () = 100 Kpa

Final pressure of the carbon dioxide gas () = 50 Kpa

Initial volume of carbon dioxide gas () = 25 ml

To find:

Final volume of the carbon dioxide gas ()

From the ideal gas equation;

   P × V = n × R × T

From the above equation,

  P×V = constant

   P  ∝  

So;

where;

represents the initial pressure of the gas

 represents the final pressure of the gas

represents the initial volume of the gas

represents the final volume of the gas

Substituting the values;

                          =

         = 50 ml

Therefore the final volume of the gas is 50 ml.