How many molecules are in 1.0 L of O2 at STP? How may grams of O2?

Ch.8 Gases, Liquids and Solids

McMurry - Fundamentals of General, Organic, and Biological Chemistry 8th Edition

McMurry8th EditionFundamentals of General, Organic, and Biological ChemistryISBN: 9780134015187당신이 사용하는 게 아니라요?교과서 변경

모든 교과서

McMurry 8th Edition

Ch.8 Gases, Liquids and Solids

문제 70

8장, 문제 70

How many molecules are in 1.0 L of O₂ at STP? How may grams of O₂?

검증된 단계별 안내

Step 1: Recall that at Standard Temperature and Pressure (STP), 1 mole of any gas occupies 22.4 L. Use this information to calculate the number of moles of O₂ in 1.0 L. The formula is: \( \text{moles of O}_2 = \frac{\text{volume of O}_2}{22.4 \ \text{L/mol}} \).

Step 2: Use Avogadro's number \( 6.022 \times 10^{23} \ \text{molecules/mol} \) to calculate the number of molecules in the moles of O₂ obtained in Step 1. The formula is: \( \text{molecules of O}_2 = \text{moles of O}_2 \times 6.022 \times 10^{23} \).

Step 3: To calculate the mass of O₂, first determine the molar mass of O₂. Since oxygen has an atomic mass of approximately 16.00 g/mol, the molar mass of O₂ is \( 2 \times 16.00 = 32.00 \ \text{g/mol} \).

Step 4: Use the moles of O₂ calculated in Step 1 and the molar mass of O₂ to find the mass. The formula is: \( \text{mass of O}_2 = \text{moles of O}_2 \times 32.00 \ \text{g/mol} \).

Step 5: Combine the results from Steps 2 and 4 to report the number of molecules and the mass of O₂ in 1.0 L at STP.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

주요 개념

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

Molar Volume at STP

At Standard Temperature and Pressure (STP), one mole of any ideal gas occupies a volume of 22.4 liters. This concept is crucial for converting between the volume of a gas and the number of moles, allowing us to determine how many molecules are present in a given volume.

Avogadro's Number

Avogadro's Number, approximately 6.022 x 10²³, represents the number of molecules in one mole of a substance. This constant is essential for calculating the total number of molecules in a given number of moles, which is necessary for answering the first part of the question regarding the number of molecules in 1.0 L of O₂.

Molar Mass of O₂

The molar mass of O₂ (oxygen gas) is approximately 32 grams per mole, calculated from the atomic mass of oxygen. This value is important for converting moles of O₂ into grams, which is needed to answer the second part of the question about how many grams of O₂ are present in 1.0 L at STP.