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Ch.6 - Gases
Tro - Chemistry: A Molecular Approach 6th Edition
Tro6th EditionChemistry: A Molecular ApproachISBN: 9780137832217당신이 사용하는 게 아니라요?교과서 변경
모든 교과서Tro 6th EditionCh.6 - Gases문제 51
6장, 문제 51

A piece of dry ice (solid carbon dioxide) with a mass of 22.1 g sublimes (converts from solid to gas) into a large balloon. Assuming that all of the carbon dioxide ends up in the balloon, what is the volume of the balloon at and a pressure of 742 mmHg?

검증된 단계별 안내
1
Identify the given values: mass of CO2 = 22.1 g, pressure = 742 mmHg, temperature = 25°C (which is 298 K).
Convert the mass of CO2 to moles using the molar mass of CO2 (44.01 g/mol).
Use the ideal gas law equation, PV = nRT, to solve for the volume V. Here, P is the pressure in atm, n is the number of moles, R is the ideal gas constant (0.0821 L·atm/mol·K), and T is the temperature in Kelvin.
Convert the pressure from mmHg to atm by dividing by 760 mmHg/atm.
Substitute the values of n, R, T, and P into the ideal gas law equation to solve for V, the volume of the balloon.

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이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
7m

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, volume, temperature, and number of moles of a gas. It is expressed as PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant, and T is temperature in Kelvin. This law allows us to calculate the volume of a gas when the amount of substance and conditions are known.
추천 영상:
가이드 코스
01:15
Ideal Gas Law Formula

Molar Mass of Carbon Dioxide

The molar mass of carbon dioxide (CO2) is essential for converting the mass of dry ice into moles. The molar mass is calculated by adding the atomic masses of its constituent elements: carbon (12.01 g/mol) and oxygen (16.00 g/mol). Since CO2 has one carbon atom and two oxygen atoms, its molar mass is approximately 44.01 g/mol, which is used to determine the number of moles from the given mass.
추천 영상:
가이드 코스
02:11
Molar Mass Concept

Gas Volume and Pressure Relationship

The relationship between gas volume and pressure is described by Boyle's Law, which states that at constant temperature, the volume of a gas is inversely proportional to its pressure. This means that if the pressure increases, the volume decreases, and vice versa. Understanding this relationship is crucial for calculating the volume of the balloon when the pressure of the gas is provided.
추천 영상:
가이드 코스
01:09
Relationship of Volume and Moles Example
관련 실천
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