A sample of gas has a mass of 38.8 mg. Its volume is 224 mL at a temperature of 55 °C and a pressure of 886 torr. Find the molar mass of the gas.

검증된 단계별 안내

Convert the mass of the gas from milligrams to grams by dividing by 1000.

Convert the temperature from Celsius to Kelvin by adding 273.15.

Convert the pressure from torr to atmospheres by dividing by 760.

Use the Ideal Gas Law equation \( PV = nRT \) to solve for the number of moles \( n \). Here, \( P \) is the pressure in atm, \( V \) is the volume in liters, \( R \) is the ideal gas constant \( 0.0821 \text{ L atm mol}^{-1} \text{ K}^{-1} \), and \( T \) is the temperature in Kelvin.

Calculate the molar mass of the gas by dividing the mass of the gas in grams by the number of moles calculated in the previous step.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

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 behavior of gases under various conditions, which is essential for solving problems involving gas samples.

Molar Mass

Molar mass is the mass of one mole of a substance, typically expressed in grams per mole (g/mol). It is calculated by summing the atomic masses of all the atoms in a molecule. In the context of gas calculations, determining the molar mass is crucial for converting between mass and moles, which is necessary for applying the Ideal Gas Law and finding the identity of the gas.

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one set of units to another set of units. In gas calculations, it is often necessary to convert measurements such as pressure (from torr to atm), volume (from mL to L), and temperature (from Celsius to Kelvin) to ensure consistency with the units used in the Ideal Gas Law. Mastery of unit conversion is essential for accurate calculations in chemistry.