Determine the density of a gas if the mean square velocity of its molecules is 1000m / s and its pressure is 0.625 MPa.

Initial data: Vav (mean square velocity of molecules of the taken gas) = 1000 m / s; P (taken gas pressure) = 0.625 MPa (0.625 * 10 ^ 6 Pa).

The gas density can be expressed from the following formula: P = 1/3 * ρg * Vav ^ 2, whence ρg = 3P / Vav ^ 2.

Let’s make a calculation: ρg = 3 * 0.625 * 10 ^ 6/1000 ^ 2 = 1.875 kg / m3.

Answer: The density of the taken gas is 1.875 kg / m3.