Question

What is the average speed of a nitrogen molecule in air?

1) 10 m/s
2) 100 m/s
3) 1000 m/s
4) 10000 m/s

Answer 1

The average speed of a nitrogen molecule in air at 295 K is approximately 464 m/s.

Step-by-step explanation:

The average speed of a nitrogen molecule in air can be calculated using the formula:

Average speed = sqrt(8 * (k * T) / (pi * m))

Where:

k is the Boltzmann constant (1.380649 * 10^-23 J/K)

T is the temperature in Kelvin

m is the molar mass of nitrogen (28.014 g/mol)

Substituting the values, we get:

Average speed = sqrt(8 * (1.380649 * 10^-23 J/K * 295 K) / (pi * 28.014 g/mol))

Solving this equation gives us an average speed of approximately 464 m/s for a nitrogen molecule in air at 295 K.