Skip to main content
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 44b
10장, 문제 44b

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?

검증된 단계별 안내
1
Identify the initial conditions of the gas: volume \( V_1 = 210.0 \) L, pressure \( P_1 = 16,500 \) kPa, and temperature \( T_1 = 23 \, ^\circ\text{C} \).
Convert the initial temperature from Celsius to Kelvin using the formula \( T(K) = T(\degree C) + 273.15 \).
Recall the conditions for STP (Standard Temperature and Pressure): \( P_2 = 101.3 \) kPa and \( T_2 = 273.15 \) K.
Use the combined gas law \( \frac{P_1 \cdot V_1}{T_1} = \frac{P_2 \cdot V_2}{T_2} \) to solve for the final volume \( V_2 \).
Rearrange the equation to solve for \( V_2 \): \( V_2 = \frac{P_1 \cdot V_1 \cdot T_2}{P_2 \cdot T_1} \).

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. This law is essential for understanding how gases behave under different conditions and allows for calculations involving changes in state, such as volume at standard temperature and pressure (STP).
추천 영상:
가이드 코스
01:15
Ideal Gas Law Formula

Standard Temperature and Pressure (STP)

STP is defined as a temperature of 0 °C (273.15 K) and a pressure of 1 atm (101.3 kPa). At STP, one mole of an ideal gas occupies 22.4 liters. Understanding STP is crucial for converting gas volumes from one set of conditions to another, as it provides a reference point for gas behavior.
추천 영상:
가이드 코스
01:08
Standard Temperature and Pressure

Gas Volume Conversion

Gas volume conversion involves using the Ideal Gas Law and STP conditions to determine how the volume of a gas changes with variations in pressure and temperature. This concept is vital for solving problems where the initial and final states of a gas are compared, allowing for the calculation of unknown volumes under specified conditions.
추천 영상:
가이드 코스
02:38
Common Conversion Factors
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. (c) At what temperature would the pressure in the tank equal 15.2 MPa?

735
views
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. (d) What would be the pressure of the gas, in kPa, if it were transferred to a container at 24 °C whose volume is 55.0 L?

398
views
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. (d) At what pressure will the volume equal 5.00 L if the temperature is 58 °C?

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. (c) At what temperature will the volume be 15.00 L if the pressure is 116.8 kPa

938
views