Solvedquestioncompute the root-mean-square speed molecules sample nitrogen gas temperature

To calculate the root-mean-square (rms) speed of N₂ molecules in a sample of nitrogen gas, we can use the following formula:

rms speed = sqrt ((3 * k * T) / m)

First, let's convert the temperature from Celsius to Kelvin:

T(K) = T(°C) + 273.15

= sqrt ((3 * 1.38 x 10^(-23) J/K * 380.15 K) / 0.028 kg/mol)

≈ sqrt (1.623 x 10^(-20) J / 0.028 kg/mol)