Question

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 ?

Answer 1

The answer for the following problem is mentioned below.

• Therefore the final volume of the gas is 50 ml.

Step-by-step explanation:

Given:

Pressure of carbon dioxide gas (
`P_(1)`) = 100 Kpa

Final pressure of the carbon dioxide gas (
`P_(2)`) = 50 Kpa

Initial volume of carbon dioxide gas (
`V_(1)`) = 25 ml

To find:

Final volume of the carbon dioxide gas (
`V_(2)`)

From the ideal gas equation;

P × V = n × R × T

From the above equation,

P×V = constant

P ∝
`(1)/(V)`

So;

`(P_(1) )/(P_(2) ) = (V_(2) )/(V_(1) )`

where;

`P_(1)` represents the initial pressure of the gas

`P_(2)` represents the final pressure of the gas

`V_(1)` represents the initial volume of the gas

`V_(2)` represents the final volume of the gas

Substituting the values;

`(100)/(50)` =
`(V_(2) )/(25)`

`V_(2)` = 50 ml

Therefore the final volume of the gas is 50 ml.