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

50 mL

Explanation:

We can solve this problem by using Boyle's Law, which states that:

"For a fixed mass of an ideal gas kept at constant temperature, the pressure of the gas is inversely proportional to its volume"

Mathematically:

where

p is the pressure of the gas

V is the volume of the gas

The equation can be rewritten as

where in this problem:

is the initial pressure of the gas in the coke

is the initial volume

is the final pressure

Solving for V2, we find the final volume:

oh it is true if thats what you are asking