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 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,  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 =

putting the values in the equation, we get,

V2 =

    = 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.

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