Question

Газовая смесь содержит кислород объемом 2,24 л и оксид серы (IV) объемом 3,36 л. Объемы газов приведены к нормальным условиям. Определите массу смеси

Answer 1

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Answer 2

Gas Mixture Calculation

To determine the mass of the gas mixture, we can use the ideal gas law equation, which states:

PV = nRT

Where: - P is the pressure of the gas - V is the volume of the gas - n is the number of moles of the gas - R is the ideal gas constant - T is the temperature of the gas in Kelvin

Given that the volumes of the gases are provided at standard conditions, we can use the molar volume of an ideal gas at standard conditions, which is approximately 22.4 liters per mole.

Calculation Steps

1. Calculate the number of moles of oxygen (O2) and sulfur dioxide (SO2) gas: - Oxygen (O2) volume = 2.24 L - Sulfur dioxide (SO2) volume = 3.36 L - Molar volume at standard conditions = 22.4 L/mol

Number of moles of O2 = Volume of O2 / Molar volume at standard conditions Number of moles of SO2 = Volume of SO2 / Molar volume at standard conditions

Number of moles of O2 = 2.24 L / 22.4 L/mol Number of moles of SO2 = 3.36 L / 22.4 L/mol

2. Calculate the total number of moles: Total moles = Number of moles of O2 + Number of moles of SO2

3. Calculate the mass of the gas mixture using the molar mass of oxygen and sulfur: - The molar mass of O2 = 32 g/mol - The molar mass of SO2 = 64 g/mol

Mass of O2 = Number of moles of O2 * Molar mass of O2 Mass of SO2 = Number of moles of SO2 * Molar mass of SO2

Total mass of the gas mixture = Mass of O2 + Mass of SO2

Calculation

1. Number of moles of O2: Number of moles of O2 = 2.24 L / 22.4 L/mol = 0.1 moles

2. Number of moles of SO2: Number of moles of SO2 = 3.36 L / 22.4 L/mol = 0.15 moles

3. Total number of moles: Total moles = 0.1 moles + 0.15 moles = 0.25 moles

4. Mass of O2: Mass of O2 = 0.1 moles * 32 g/mol = 3.2 grams

5. Mass of SO2: Mass of SO2 = 0.15 moles * 64 g/mol = 9.6 grams

6. Total mass of the gas mixture: Total mass of the gas mixture = 3.2 grams + 9.6 grams = 12.8 grams

Therefore, the mass of the gas mixture is 12.8 grams.