Calculate the root mean square velocity of theoxygen gas (O2) molecules at 77 °C. (R =8.314 Kg.m²/S².mol.K). (atomic mass of O-15.999 g/mol).

Answer 1

We can use the root mean square velocity formula:

v rms = √(3RT/M)

where R is the gas constant, T is the temperature in Kelvin, and M is the molar mass of the gas.

First, we need to convert the temperature to Kelvin:

77 °C = 350 K

Next, we convert the molar mass of oxygen from g/mol to kg/mol:

M = 15.999 g/mol = 0.015999 kg/mol

Now, we can plug in the values and solve:

v rms = √(3 * 8.314 Kg.m²/S².mol.K * 350 K / 0.015999 kg/mol)

v rms = √(622.38 m²/s²)

v rms = 24.95 m/s

Therefore, the root mean square velocity of the oxygen gas molecules at 77 °C is 24.95 m/s.