The cylinder with a capacity of 8 liters contains oxygen at a temperature of 30C and a pressure
The cylinder with a capacity of 8 liters contains oxygen at a temperature of 30C and a pressure of 3 * 10 ^ 3Pa. Determine the mass of gas in the cylinder
V = 8 l = 0.008 m3.
t = 30 ° C.
P = 3 * 103 Pa.
M = 0.032 kg / mol.
R = 8.31 m2 * kg / s2 * K * mol.
m -?
Let us write down the Mendeleev-Cliperon law for oxygen: P * V = m * R * T / M, where m is the mass of oxygen, R is the universal gas constant, T is the absolute temperature of oxygen, M is the molar mass, P is the gas pressure, V is the volume that the gas occupies.
m = P * V * M / R * T.
We find the absolute temperature by the formula: T = 273 + t.
T = 273 + 30 ° C = 303 ° K.
m = 3 * 10 ^ 3 P * 0.008 m3 * 0.032 kg / mol / 8.31 m2 * kg / s2 * K * mol * 303 ° K = 0.0003 kg.
Answer: the cylinder contains m = 0.0003 kg of oxygen.