Question

Плотность газа по воздуху равна 0.5. Какова молекулярная масса газа?

Answer 1

М(газа) = 0,5* 29 = 14,5 г/моль

Answer 2

Calculating Molecular Mass of Gas with Given Density

To calculate the molecular mass of a gas with a given density, we can use the ideal gas law equation:

Molecular Mass (M) = (density * gas constant) / molar volume

Given: - Density of the gas = 0.5 - Gas constant = R (constant for ideal gases) - Molar volume = V (volume occupied by one mole of a substance)

We can rearrange the ideal gas law equation to solve for the molecular mass:

M = (density * R) / V

Now, let's find the value of the gas constant (R) and the molar volume (V) to calculate the molecular mass.

Finding the Gas Constant (R) and Molar Volume (V)

The gas constant (R) is a constant value and the molar volume (V) can be calculated using the ideal gas law equation:

Ideal Gas Law: PV = nRT

Where: - P = Pressure - V = Volume - n = Number of moles - R = Gas constant - T = Temperature

Given that the gas is at standard temperature and pressure (STP), we can use the following values: - Pressure (P) = 1 atm - Temperature (T) = 273.15 K - Number of moles (n) = 1 mole (for simplicity)

Using these values, we can calculate the molar volume (V) and the gas constant (R).

Calculating Molecular Mass

After obtaining the values for the gas constant (R) and the molar volume (V), we can use the rearranged ideal gas law equation to calculate the molecular mass (M) of the gas.

M = (density * R) / V

Let's proceed with the calculations to find the molecular mass of the gas.

Answer 3

Calculating Molecular Mass of Gas with Given Density

The molecular mass of a gas can be calculated using the ideal gas law equation, which relates the pressure, volume, temperature, and the number of moles of a gas. The ideal gas law equation is given by:

PV = nRT

Where: - P = pressure - V = volume - n = number of moles - R = ideal gas constant - T = temperature

The molecular mass of a gas can be calculated using the formula:

Molecular mass = (density * R * T) / P

Where: - R = ideal gas constant (approximately 0.0821 L.atm/mol.K) - T = temperature in Kelvin - P = pressure

Calculation

Given: - Density of the gas = 0.5

Using the ideal gas law equation, we can calculate the molecular mass of the gas. Let's assume standard temperature and pressure (STP) for the calculation: - Temperature (T) = 273 K (standard temperature) - Pressure (P) = 1 atm (standard pressure)

Using the formula: Molecular mass = (density * R * T) / P

Substituting the given values: Molecular mass = (0.5 * 0.0821 * 273) / 1

Calculating the molecular mass: Molecular mass ≈ 11.2 g/mol

Conclusion

The molecular mass of the gas, based on the given density, is approximately 11.2 g/mol.