Question

Какое давление на стенки сосуда производят молекулы углекислого газа (CO2), если в баллоне объемом 40 л содержится 5·1025 молекул, а средняя квадратичная скорость молекул 400 м/с?

Answer 1

Давление вышло 24433 Паскаль. надеюсь, все правильно. варианты ответов есть?

Answer 2

Calculating Pressure Exerted by CO2 Molecules in a Container

To calculate the pressure exerted by the CO2 molecules in the container, we can use the ideal gas law formula:

PV = nRT

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

First, let's calculate the number of moles of CO2 in the container using Avogadro's number and the given number of molecules.

Step 1: Calculate the number of moles of CO2 The Avogadro's number is approximately 6.022 x 10^23 per mole.

Given: - Volume of the container (V) = 40 L - Number of molecules of CO2 = 5 x 10^25

Using the formula: n = (Number of molecules) / (Avogadro's number)

n = 5 x 10^25 / 6.022 x 10^23

n ≈ 83.05 moles

Now that we have the number of moles of CO2, we can proceed to calculate the pressure.

Step 2: Calculate the pressure Given: - Volume of the container (V) = 40 L - Number of moles of CO2 (n) ≈ 83.05 moles - Average square velocity of molecules (v) = 400 m/s - Ideal gas constant (R) = 8.314 J/(mol·K) (from the ideal gas law)

We can rearrange the ideal gas law formula to solve for pressure: P = (n * m * v^2) / (3V)

Where: - m is the mass of one molecule of CO2

Step 3: Calculate the mass of one molecule of CO2 The mass of one molecule of CO2 is approximately 44 g/mol.

Step 4: Calculate the pressure Substitute the values into the formula: P = (83.05 * 44 * (400^2)) / (3 * 40)

P ≈ 3.54 x 10^6 Pa

Therefore, the pressure exerted by the CO2 molecules in the container is approximately 3.54 x 10^6 Pascal.