Skip to main content
Ch.5 - Gases
Chapter 5, Problem 48

Cyclists sometimes use pressurized carbon dioxide inflators to inflate a bicycle tire in the event of a flat. These inflators use metal cartridges that contain 16.0 g of carbon dioxide. At 298 K, to what pressure (in psi) can the carbon dioxide in the cartridge inflate a 3.45-L mountain bike tire? (Note: Assume that atmospheric pressure is 14.7 psi; the gauge pressure is the total pressure minus the atmospheric pressure.)

Verified step by step guidance
1
Identify the known values: mass of CO2 = 16.0 g, temperature = 298 K, volume = 3.45 L.
Convert the mass of CO2 to moles using the molar mass of CO2 (44.01 g/mol).
Use the ideal gas law equation, PV = nRT, to solve for the pressure P. Here, R is the ideal gas constant (0.0821 L·atm/mol·K).
Convert the pressure from atm to psi using the conversion factor (1 atm = 14.7 psi).
Calculate the gauge pressure by subtracting the atmospheric pressure (14.7 psi) from the total pressure.
Related Practice
Textbook Question

A piece of dry ice (solid carbon dioxide) with a mass of 28.8 g sublimes (converts from solid to gas) into a large balloon. Assuming that all of the carbon dioxide ends up in the balloon, what is the volume of the balloon at 22 °C and a pressure of 742 mmHg?

4491
views
2
rank
Textbook Question

A 1.0-L container of liquid nitrogen is kept in a closet measuring 1.0 m by 1.0 m by 2.0 m. Assuming that the container is completely full, that the temperature is 25.0 °C, and that the atmospheric pressure is 1.0 atm, calculate the percent (by volume) of air that is displaced if all of the liquid nitrogen evaporates. (Liquid nitrogen has a density of 0.807 g/mL.)

2827
views
2
rank
Open Question
A wine-dispensing system uses argon canisters to pressurize and preserve wine in the bottle. An argon canister for the system has a volume of 55.0 mL and contains 26.0 g of argon. When the argon is released from the canister, it expands to fill the wine bottle. How many 750.0-mL wine bottles can be purged with the argon in the canister at a pressure of 1.20 atm and a temperature of 295 K? Assuming ideal gas behavior, what is the pressure in the canister at 295 K?
Textbook Question

Which gas sample has the greatest pressure? Assume that all the samples are at the same temperature. Explain.

1332
views
Textbook Question

This picture represents a sample of gas at a pressure of 1 atm, a volume of 1 L, and a temperature of 25 °C. Draw a similar picture showing what would happen to the sample if the volume were reduced to 0.5 L and the temperature were increased to 250 °C. What would happen to the pressure?

810
views
Textbook Question

Aerosol cans carry clear warnings against incineration because of the high pressures that can develop upon heating. Suppose that a can contains a residual amount of gas at a pressure of 755 mmHg and a temperature of 25 °C. What would the pressure be if the can were heated to 1155 °C?

3243
views
3
rank