Question

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?

Answer 1

50 ml will be the new volume of the carbon dioxide gas in your coke can.

Explanation:

Data given:

Initial volume of the coke having CO2, V1 =25 ml

initial pressure of the coke having C$O_{2}$,  P1 = 100KPa OR 0.98 atm

final pressure when hiked to Mount Everest  P2 = 50 kPa or 0.49atm

final volume V2 when hiked to Mount Everest = ?

From the data given formula for Boyles' Law will be used as:

P1V1 = P2V2

V2 = $\frac{P1V1}{P2}$

putting the values in the equation, we get,

V2 = $\frac{100X 25}{50}$

    = 50 ml

As we hike on the mountain the drop in pressure causes the volume of gas to increase  hence the volume of carbon dioxide gas increased from 25 ml to ml.