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Ch.10 - Gases
Brown - Chemistry: The Central Science 14th Edition
Brown14th EditionChemistry: The Central ScienceISBN: 9780134414232당신이 사용하는 게 아니라요?교과서 변경
모든 교과서Brown 14th EditionCh.10 - Gases문제 109
10장, 문제 109

An ideal gas at a pressure of 152 kPa is contained in a bulb of unknown volume. A stopcock is used to connect this bulb with a previously evacuated bulb that has a volume of 0.800 L as shown here. When the stopcock is opened, the gas expands into the empty bulb. If the temperature is held constant during this process and the final pressure is 92.66 kPa, what is the volume of the bulb that was originally filled with gas? Diagram showing two connected bulbs; one with gas at 1.76 atm and volume 0.500 L.

검증된 단계별 안내
1
Convert the initial pressure from kPa to atm using the conversion factor: 1 atm = 101.325 kPa.
Use the combined gas law, which states that P1 * V1 = P2 * V2, where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume.
Let V1 be the unknown volume of the initially filled bulb and V2 be the total volume after the stopcock is opened (V1 + 0.800 L).
Substitute the known values into the combined gas law equation: (P1 * V1) = (P2 * (V1 + 0.800 L)).
Solve for V1 by isolating it on one side of the equation.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
3m

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 (P), volume (V), temperature (T), and number of moles (n) of an ideal gas. It is expressed as PV = nRT, where R is the ideal gas constant. This law allows us to predict the behavior of gases under various conditions, making it essential for solving problems involving gas expansion and compression.
추천 영상:
가이드 코스
01:15
Ideal Gas Law Formula

Boyle's Law

Boyle's Law states that the pressure of a gas is inversely proportional to its volume when the temperature and the amount of gas are held constant. Mathematically, it can be expressed as P1V1 = P2V2. This principle is crucial for understanding how gases behave when they expand or compress, particularly in scenarios like the one described in the question.
추천 영상:
가이드 코스
03:13
Boyle's Law

Pressure Units and Conversion

Pressure is commonly measured in various units, including atmospheres (atm), pascals (Pa), and kilopascals (kPa). Understanding how to convert between these units is vital for solving gas-related problems. In this question, the initial pressure is given in kPa, while the diagram shows pressure in atm, necessitating conversion for accurate calculations.
추천 영상:
가이드 코스
01:15
Pressure Units
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