Calculate the number of carbon molecules in a unit of volume, if the mass of the molecule is 3.98 * 10-26 kg

Calculate the number of carbon molecules in a unit of volume, if the mass of the molecule is 3.98 * 10-26 kg, the average velocity of the molecules is 600 m / s, and the gas pressure is 1.2 MPa.

From the basic equation of molecular kinetic theory, we can derive the following formula:
p = (n * m * V²) / 3,
Then from this formula we find:
n = 3 * p / (m * V²);
Substitute the values into the formula:
n = 3 * 1.2 * 10⁶ / (3.98 * 10⁻²⁶ * 600²);
Let’s count:
n = 2.5 * 10²⁶.
Answer: 2.5 * 10²⁶ molecules