Question

В сосуде объёмом 100 л содержится кислород при температуре 300К и давление 2МПа. Определите массу кислорода в сосуде.Решение пожалуйста

Answer 1

Ответ : m(O2) = 2,57 кг.

Answer 2

Given Information

We are given the following information: - Volume of the vessel: 100 L - Temperature: 300 K - Pressure: 2 MPa

Calculating the Mass of Oxygen

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

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

We can rearrange the equation to solve for the number of moles (n):

n = PV / RT

To find the mass of oxygen, we need to know the molar mass of oxygen. The molar mass of oxygen (O2) is approximately 32 g/mol.

Using the molar mass of oxygen, we can calculate the mass of oxygen (m) in grams:

m = n * molar mass of oxygen

Let's calculate the mass of oxygen in the vessel.

Calculation

Given: - Volume (V) = 100 L - Temperature (T) = 300 K - Pressure (P) = 2 MPa (2 * 10^6 Pa) - Molar mass of oxygen (O2) = 32 g/mol

Using the ideal gas law equation, we can calculate the number of moles (n) of oxygen:

n = (P * V) / (R * T)

The ideal gas constant (R) is approximately 8.314 J/(mol·K).

Substituting the values into the equation:

n = (2 * 10^6 Pa * 100 L) / (8.314 J/(mol·K) * 300 K)

Now, let's calculate the mass of oxygen (m) in grams:

m = n * molar mass of oxygen

Substituting the values into the equation:

m = n * 32 g/mol

Calculation Steps

1. Convert the pressure from MPa to Pa: - 2 MPa = 2 * 10^6 Pa

2. Calculate the number of moles (n) of oxygen: - n = (2 * 10^6 Pa * 100 L) / (8.314 J/(mol·K) * 300 K)

3. Calculate the mass of oxygen (m) in grams: - m = n * 32 g/mol

Let's calculate the mass of oxygen in the vessel.

Calculation Results

1. Converting the pressure from MPa to Pa: - 2 MPa = 2 * 10^6 Pa

2. Calculating the number of moles (n) of oxygen: - n = (2 * 10^6 Pa * 100 L) / (8.314 J/(mol·K) * 300 K) - n ≈ 803.6 mol

3. Calculating the mass of oxygen (m) in grams: - m = n * 32 g/mol - m ≈ 25,715.2 g

Therefore, the mass of oxygen in the vessel is approximately 25,715.2 grams.