Skip to main content
Chemistry LibreTexts

2.6.5: Applications of the Ideal Gas Law and Partial Pressures (Problems)

  • Page ID
    210667
  • PROBLEM \(\PageIndex{1}\)

    What is the density of laughing gas, dinitrogen monoxide, N2O, at a temperature of 325 K and a pressure of 113.0 kPa?

    Answer

    1.84 g/L

    PROBLEM \(\PageIndex{2}\)

    Calculate the density of Freon 12, CF2Cl2, at 30.0 °C and 0.954 atm.

    Answer

    4.64 g/L

    PROBLEM \(\PageIndex{3}\)

    Which is denser at the same temperature and pressure, dry air or air saturated with water vapor? Explain.

    Answer

    air saturated with water vapor - it has a higher molar mass

    PROBLEM \(\PageIndex{4}\)

    A cylinder of O2(g) used in breathing by emphysema patients has a volume of 3.00 L at a pressure of 10.0 atm. If the temperature of the cylinder is 28.0 °C, what mass of oxygen is in the cylinder?

    Answer

    38.8 g

    PROBLEM \(\PageIndex{5}\)

    What is the molar mass of a gas if 0.0494 g of the gas occupies a volume of 0.100 L at a temperature 26 °C and a pressure of 307 torr?

    Answer

    30.0 g/mol

    PROBLEM \(\PageIndex{6}\)

    What is the molar mass of a gas if 0.281 g of the gas occupies a volume of 125 mL at a temperature 126 °C and a pressure of 777 torr?

    Answer

    72.0 g/mol

    PROBLEM \(\PageIndex{7}\)

    The density of a certain gaseous fluoride of phosphorus is 3.93 g/L at STP. Calculate the molar mass of this fluoride and determine its molecular formula.

    Answer

    88.1 g mol−1; PF3

    PROBLEM \(\PageIndex{8}\)

    What is the molecular formula of a compound that contains 39% C, 45% N, and 16% H if 0.157 g of the compound occupies 125 mL with a pressure of 99.5 kPa at 22 °C?

    Answer

    H5CN

    Click here to see a video of the solution

    PROBLEM \(\PageIndex{9}\)

    A sample of gas isolated from unrefined petroleum contains 90.0% CH4, 8.9% C2H6, and 1.1% C3H8 at a total pressure of 307.2 kPa. What is the partial pressure of each component of this gas? (The percentages given indicate the percent of the total pressure that is due to each component.)

    Answer

    CH4: 276 kPa; C2H6: 27 kPa; C3H8: 3.4 kPa

    PROBLEM \(\PageIndex{10}\)

    Automobile air bags are inflated with nitrogen gas, which is formed by the decomposition of solid sodium azide (NaN3). The other product is sodium metal. Calculate the volume of nitrogen gas at 27 °C and 756 torr formed by the decomposition of 125 g of sodium azide.

    Answer

    71.26 L

    Click here to see a video of the solution

    PROBLEM \(\PageIndex{11}\)

    A sample of a compound of xenon and fluorine was confined in a bulb with a pressure of 18 torr. Hydrogen was added to the bulb until the pressure was 72 torr. Passage of an electric spark through the mixture produced Xe and HF. After the HF was removed by reaction with solid KOH, the final pressure of xenon and unreacted hydrogen in the bulb was 36 torr. What is the empirical formula of the xenon fluoride in the original sample? (Note: Xenon fluorides contain only one xenon atom per molecule.)

    Answer

    XeF2

    Have a video solution request?

    Let your professors know here.

    ***Please know that you are helping future students - videos will be made in time for next term's class.

    Contributors and Attributions

    Feedback

    Think one of the answers above is wrong? Let us know here.

    • Was this article helpful?