Question

Чему равно давление гелия на стенки сосуда емкостью 10 л, если в нем находится 4,5*10^30 молекул?Масса молекулы гелия 6,64*10^-27 кг, средний квадрат скорости молекул 1,6*10^6 м^2/с^2

Answer 1

Решение в картинке.!!

Answer 2

Calculating Pressure of Helium in a Vessel

To calculate the pressure of helium on the walls of a 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 container - n is the number of moles of the gas - R is the ideal gas constant - T is the temperature in Kelvin

Given: - Volume of the vessel, V = 10 L - Number of helium molecules, n = 4.5 * 10^30 molecules - Mass of a helium molecule, m = 6.64 * 10^-27 kg - Average square velocity of the molecules, v^2 = 1.6 * 10^6 m^2/s^2

We can calculate the pressure using the formula:

P = (n * m * v^2) / (3V)

Let's calculate the pressure using the given values.

Calculating Pressure

Using the given values: - n = 4.5 * 10^30 molecules - m = 6.64 * 10^-27 kg - v^2 = 1.6 * 10^6 m^2/s^2 - V = 10 L

We can calculate the pressure using the formula:

P = (n * m * v^2) / (3V)

Substituting the values: P = (4.5 * 10^30 * 6.64 * 10^-27 * 1.6 * 10^6) / (3 * 10)

P ≈ 2.39 * 10^6 Pa

So, the pressure of helium on the walls of the vessel is approximately 2.39 * 10^6 Pa.