Skip to main content
Ch.10 - Gases
Brown - Chemistry: The Central Science 15th Edition
Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970당신이 사용하는 게 아니라요?교과서 변경
모든 교과서Brown 15th EditionCh.10 - Gases문제 39b
10장, 문제 39b

A scuba diver’s tank contains 0.29 kg of O2 compressed into a volume of 2.3 L. b. What volume would this oxygen occupy at 26°C and 0.95 atm?

검증된 단계별 안내
1
Convert the mass of O2 to moles using the molar mass of O2. The molar mass of O2 is approximately 32 g/mol. Remember to convert the mass from kilograms to grams before using the molar mass.
Use the ideal gas law equation, PV = nRT, to calculate the volume at the new conditions. Rearrange the equation to solve for V (volume).
Convert the temperature from degrees Celsius to Kelvin by adding 273.15 to the Celsius temperature.
Insert the values for n (moles from step 1), R (the ideal gas constant, which is approximately 0.0821 L·atm/mol·K), T (temperature in Kelvin from step 3), and P (the pressure in atm) into the rearranged ideal gas law equation.
Calculate the volume V, which will be the volume the oxygen would occupy at 26°C and 0.95 atm.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
7m

주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Ideal Gas Law

The Ideal Gas Law is a fundamental equation in chemistry that relates the pressure, volume, temperature, and number of moles of a gas. It is expressed as PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is temperature in Kelvin. This law allows us to predict the behavior of gases under various conditions.
추천 영상:
가이드 코스
01:15
Ideal Gas Law Formula

Molar Mass and Moles

Molar mass is the mass of one mole of a substance, typically expressed in grams per mole (g/mol). To find the number of moles of a gas, you can use the formula n = mass/molar mass. In this question, knowing the molar mass of O2 (approximately 32 g/mol) is essential for converting the mass of oxygen into moles, which is necessary for applying the Ideal Gas Law.
추천 영상:
가이드 코스
02:11
Molar Mass Concept

Gas Behavior Under Different Conditions

Gases behave differently under varying conditions of temperature and pressure. According to the Ideal Gas Law, if the temperature increases, the volume of a gas will also increase if the pressure remains constant. Conversely, if the pressure increases, the volume will decrease. Understanding these relationships is crucial for solving problems involving gas volumes at different temperatures and pressures.
추천 영상:
가이드 코스
02:13
Ideal Gas Conditions Example
관련 실천
교과서 질문

The adult blue whale has a lung capacity of 5.0×103 L. Calculate the mass of air (assume an average molar mass of 28.98 g/mol) contained in an adult blue whale’s lungs at 0.0°C and 1.00 atm, assuming the air behaves ideally.

교과서 질문

An aerosol spray can with a volume of 250 mL contains 2.30 g of propane gas (C3H8) as a propellant. a. If the can is at 23°C, what is the pressure in the can?

교과서 질문

Carbon dioxide makes up approximately 0.04% of Earth’s atmosphere. If you collect a 2.0-L sample from the atmosphere at sea level (1.00 atm) on a warm day (27°C), how many CO2 molecules are in your sample?

교과서 질문

A 35.1 g sample of solid CO2 (dry ice) is added to a container at a temperature of 100 K with a volume of 4.0 L. If the container is evacuated (all of the gas is removed), sealed, and then allowed to warm to room temperature (𝑇=298 K) so that all of the solid CO2 is converted to a gas, what is the pressure inside the container?

교과서 질문

If the pressure exerted by ozone, O3, in the stratosphere is 3.0×10−3atm and the temperature is 250 K, how many ozone molecules are in a liter?

교과서 질문

An aerosol spray can with a volume of 250 mL contains 2.30 g of propane gas (C3H8) as a propellant. c. The can’s label says that exposure to temperatures above 130°F may cause the can to burst. What is the pressure in the can at this temperature?