Calculate the root mean speed of oxygen gas O2 at 27.0 oC. (R=8.314 Kg.m3/s2.K.mol)

(Molar mass: O= 16 g/mol)

1 answer

First, we need to convert the temperature from Celsius to Kelvin:

27.0°C + 273.15 = 300.15 K

Next, we can use the formula for root mean speed:

u rms = √(3RT/M)

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

Plugging in the values:

u rms = √(3 * 8.314 * 300.15/0.032)

u rms = 482.8 m/s (rounded to three significant figures)

Therefore, the root mean speed of oxygen gas, O2, at 27.0°C is approximately 482.8 m/s.