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Ch.10 - Gases
Brown - Chemistry: The Central Science 15th Edition
Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970당신이 사용하는 게 아니라요?교과서 변경
모든 교과서Brown 15th EditionCh.10 - Gases문제 52
10장, 문제 52

Calculate the molar mass of a vapor that has a density of 7.135 g/L at 12°C and 743 torr.

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1
Convert the temperature from Celsius to Kelvin using the formula: \( T(K) = T(°C) + 273.15 \).
Convert the pressure from torr to atm using the conversion factor: \( 1 \text{ atm} = 760 \text{ torr} \).
Use the ideal gas law equation in the form \( PV = nRT \) to solve for the molar mass \( M \). Rearrange it to \( M = \frac{dRT}{P} \), where \( d \) is the density, \( R \) is the ideal gas constant (0.0821 L·atm/mol·K), \( T \) is the temperature in Kelvin, and \( P \) is the pressure in atm.
Substitute the values for density, \( R \), temperature in Kelvin, and pressure in atm into the rearranged ideal gas law equation.
Calculate the molar mass using the substituted values.

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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 is used to derive relationships between density, molar mass, and other properties of gases.
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가이드 코스
01:15
Ideal Gas Law Formula

Density of Gases

Density is defined as mass per unit volume. For gases, density can be influenced by temperature and pressure. The density of a gas can be used in conjunction with the Ideal Gas Law to calculate molar mass, as it provides a direct relationship between the mass of the gas and its volume under specific conditions.
추천 영상:
가이드 코스
01:56
Density Concepts

Molar Mass Calculation

Molar mass is the mass of one mole of a substance, typically expressed in grams per mole (g/mol). To calculate the molar mass of a vapor using its density, temperature, and pressure, one can rearrange the Ideal Gas Law to find the molar mass in terms of these variables, allowing for the determination of the substance's identity.
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가이드 코스
03:12
Molar Mass Calculation Example
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In the Dumas-bulb technique for determining the molar mass of an unknown liquid, you vaporize the sample of a liquid that boils below 100°C in a boiling-water bath and determine the mass of vapor required to fill the bulb. From the following data, calculate the molar mass of the unknown liquid: mass of unknown vapor, 1.012 g; volume of bulb, 354 cm3; pressure, 742 torr; temperature, 99°C.

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(b) Calculate the molar mass of a gas if 2.50 g occupies 0.875 L at 685 torr and 35 °C

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