Question

ПОМОГИТЕ СРОЧНО В баллоне объемом 1,66 м3 находится молекулярный кислород (молярная масса 0,032 кг/моль) при давлении 10^5 Па и температуре 47°С. Какова масса кислорода в кг?

Answer 1

Calculation of the Mass of Oxygen in the Cylinder

To calculate the mass of oxygen in the cylinder, we can use the ideal gas law equation:

PV = nRT

Where: - P is the pressure of the gas (in Pascal) - V is the volume of the gas (in cubic meters) - n is the number of moles of the gas - R is the ideal gas constant (8.314 J/(mol·K)) - T is the temperature of the gas (in Kelvin)

First, let's convert the given temperature from Celsius to Kelvin:

T(K) = T(°C) + 273.15

Given: - Volume (V) = 1.66 m^3 - Pressure (P) = 10^5 Pa - Temperature (T) = 47°C

Converting the temperature to Kelvin: T(K) = 47 + 273.15 = 320.15 K

Now, we can rearrange the ideal gas law equation to solve for the number of moles (n):

n = PV / RT

Substituting the given values: n = (10^5 Pa) * (1.66 m^3) / [(8.314 J/(mol·K)) * (320.15 K)]

Calculating the value of n using the given values: n ≈ 6.34 mol

Next, we can calculate the mass of oxygen using the molar mass of oxygen:

Given: - Molar mass of oxygen (M) = 0.032 kg/mol

The mass of oxygen can be calculated using the formula:

Mass = n * M

Substituting the values: Mass = (6.34 mol) * (0.032 kg/mol)

Calculating the mass of oxygen: Mass ≈ 0.203 kg

Therefore, the mass of oxygen in the cylinder is approximately 0.203 kg.