Question

молекулы какого газа при 20 градусах имеют среднюю квадратичную скорость 510 м/с?

Answer 1

Газ этот называется - азот.

Answer 2

Calculation of Average Speed of Gas Molecules

To calculate the average speed of gas molecules at a given temperature, we can use the root mean square (RMS) speed formula. The RMS speed is the square root of the average of the squares of the individual speeds of gas molecules.

The formula for calculating the RMS speed of gas molecules is:

v_rms = sqrt((3 * k * T) / m)

Where: - v_rms is the root mean square speed of the gas molecules - k is the Boltzmann constant (1.38 x 10^-23 J/K) - T is the temperature in Kelvin - m is the molar mass of the gas in kilograms per mole

In this case, we are given the temperature in degrees Celsius. To convert it to Kelvin, we can use the formula:

T(K) = T(°C) + 273.15

Let's calculate the average speed of gas molecules at 20 degrees Celsius (293.15 Kelvin) with a given RMS speed of 510 m/s.

Calculation:

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

T(K) = 20 + 273.15 = 293.15 K

Now, we can rearrange the RMS speed formula to solve for the molar mass of the gas:

m = (3 * k * T) / v_rms^2

Substituting the given values:

m = (3 * (1.38 x 10^-23 J/K) * (293.15 K)) / (510 m/s)^2

Calculating the value:

m ≈ 3.2 x 10^-26 kg/mol

Therefore, the gas molecules with an average root mean square speed of 510 m/s at 20 degrees Celsius have a molar mass of approximately 3.2 x 10^-26 kilograms per mole.

Please note that the calculation assumes an ideal gas behavior and uses the given RMS speed value.