What volume does a gas take at a pressure of 2 * 10 ^ 5 Pa, if its mass is 1 kg, and the mean square velocity of molecules is 600 m / s

given:
p = 2 * 10⁵ Pa m = 1 kg = 600 m / s
V -?
decision:
the formula for the mean square velocity: = √ (3 * R * T / m) we will square it: ² = 3 * (R * T / m) from here: (R * T / m) = ² / 3 p * V = m * (R * T / M) from here: (R * T / M) = p * V / m equate (2) and (1): p * V / m = ² / 3 V = m * ² / (3 * p) V = 1 * 600² / (3 * 2 * 10⁵) = 0.6 m³
answer: the volume is 0.6 cubic meters.