The Ideal Gas Law Video Lessons

Concept: Boyle's Law

# Problem: A rigid vessel containing a 3:1 mol ratio of carbon dioxide and water vapor is held at 210˚C  where it has a total pressure of 2.10 atm. If the vessel is cooled to 10˚C so that all of the water vapor condenses, what is the pressure of carbon dioxide? Neglect the volume of the liquid water that forms on cooling.

###### FREE Expert Solution

We have to find the pressure of a gas after temperature has been decreased.

We will use the ideal gas law to solve this problem. First, let’s analyze what data we have.

Total pressure of the gas mixture 2.10 atm. We will use the 3:1 mole ratio of CO2: H2O to find the partial pressure of CO2 and this will be our P1.

T1 = 210 °C

T2 = 10 °C

P2 = ? atm

Since all of the water vapors condense into liquid when the temperature is dropped, we won’t be using any data for water for the calculation of P2.

Additionally, the question asks that we ignore the volume of liquid water that forms upon cooling.

###### Problem Details

A rigid vessel containing a 3:1 mol ratio of carbon dioxide and water vapor is held at 210˚C  where it has a total pressure of 2.10 atm. If the vessel is cooled to 10˚C so that all of the water vapor condenses, what is the pressure of carbon dioxide? Neglect the volume of the liquid water that forms on cooling.