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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 43c
10장, 문제 43c

Chlorine is widely used to purify municipal water supplies and to treat swimming pool waters. Suppose that the volume of a particular sample of Cl2 gas is 8.70 L at 119.3 kPa and 24 °C. (c) At what temperature will the volume be 15.00 L if the pressure is 116.8 kPa

검증된 단계별 안내
1
Identify the initial and final conditions of the gas: Initial volume \( V_1 = 8.70 \text{ L} \), initial pressure \( P_1 = 119.3 \text{ kPa} \), initial temperature \( T_1 = 24^\circ \text{C} \), final volume \( V_2 = 15.00 \text{ L} \), and final pressure \( P_2 = 116.8 \text{ kPa} \).
Convert the initial temperature from Celsius to Kelvin using the formula \( T(K) = T(^\circ C) + 273.15 \).
Use the combined gas law, which is \( \frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2} \), to relate the initial and final states of the gas.
Rearrange the combined gas law to solve for the final temperature \( T_2 \): \( T_2 = \frac{P_2 V_2 T_1}{P_1 V_1} \).
Substitute the known values into the equation and solve for \( T_2 \) in Kelvin.

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이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
4m

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. This law is fundamental in understanding gas behavior under varying conditions. In this scenario, it helps to determine how changes in temperature and pressure affect the volume of chlorine gas.
추천 영상:
가이드 코스
01:15
Ideal Gas Law Formula

Charles's Law

Charles's Law states that the volume of a gas is directly proportional to its temperature (in Kelvin) when pressure is held constant. This principle is crucial for solving the problem, as it allows us to predict how the volume of Cl2 gas will change with temperature adjustments while considering the pressure changes.
추천 영상:
가이드 코스
02:06
Charles's Law

Pressure-Volume Relationship

The relationship between pressure and volume of a gas is described by Boyle's Law, which states that at constant temperature, the pressure of a gas is inversely proportional to its volume. Understanding this relationship is essential for analyzing how the pressure of chlorine gas changes when the volume is altered, as seen in the given problem.
추천 영상:
가이드 코스
01:09
Relationship of Volume and Moles Example
관련 실천
교과서 질문

Many gases are shipped in high-pressure containers. Consider a steel tank whose volume is 210.0 L that contains O2 gas at a pressure of 16,500 kPa at 23 °C. (a) What mass of O2 does the tank contain?

교과서 질문

Chlorine is widely used to purify municipal water supplies and to treat swimming pool waters. Suppose that the volume of a particular sample of Cl2 gas is 8.70 L at 119.3 kPa and 24 °C. (b) What volume will the Cl2 occupy at STP?

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교과서 질문

Chlorine is widely used to purify municipal water supplies and to treat swimming pool waters. Suppose that the volume of a particular sample of Cl2 gas is 8.70 L at 119.3 kPa and 24 °C. (d) At what pressure will the volume equal 5.00 L if the temperature is 58 °C?

교과서 질문

Many gases are shipped in high-pressure containers. Consider a steel tank whose volume is 210.0 L that contains O2 gas at a pressure of 16,500 kPa at 23 °C. (b) What volume would the gas occupy at STP?

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views
교과서 질문
A 50.0 g sample of solid CO2 (dry ice) is added at -100 °C to an evacuated (all of the gas removed) container with a volume of 5.0 L. If the container is sealed and then allowed to warm to room temperature 125 °C2 so that the entire solid CO2 is converted to a gas, what is the pressure inside the container?
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교과서 질문
A 334-mL cylinder for use in chemistry lectures contains 5.225 g of helium at 23 °C. How many grams of helium must be released to reduce the pressure to 7.60 MPa assuming ideal gas behavior?
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