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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
10장, 문제 98

A gas bubble with a volume of 1.0 mm3 originates at the bottom of a lake where the pressure is 3.0 atm. Calculate its volume when the bubble reaches the surface of the lake where the pressure is 730 torr, assuming that the temperature does not change.

검증된 단계별 안내
1
Step 1: Convert the given pressures into the same units. Since 1 atm = 760 torr, the pressure at the bottom of the lake is 3.0 atm * 760 torr/atm = 2280 torr.
Step 2: Use the ideal gas law in the form P1V1 = P2V2, where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume. This equation is valid because the temperature and the amount of gas are constant.
Step 3: Substitute the given values into the equation. P1 = 2280 torr, V1 = 1.0 mm^3, and P2 = 730 torr. Solve for V2.
Step 4: Rearrange the equation to solve for V2: V2 = (P1V1) / P2.
Step 5: Substitute the values into the equation to find the volume of the gas bubble when it reaches the surface of the lake.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
2m

주요 개념

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

Ideal Gas Law

The Ideal Gas Law relates the pressure, volume, temperature, and number of moles of a gas through the equation PV = nRT. In this scenario, while the temperature remains constant, the law helps us understand how changes in pressure affect the volume of a gas bubble as it rises.
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 temperature is held constant (P1V1 = P2V2). This principle is crucial for solving the problem, as it allows us to calculate the new volume of the gas bubble at a different pressure.
추천 영상:

Unit Conversion

Unit conversion is essential in this problem because the initial pressure is given in atmospheres (atm) and the final pressure in torr. Understanding how to convert between these units (1 atm = 760 torr) ensures accurate calculations when applying gas laws.
추천 영상:
가이드 코스
01:56
Conversion Factors
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