Answer:- rms speed of nitrogen gas is 526.93 m/s.
Solution:- The formula used to calculate the rms that is root mean square velocity is....
[tex]v_r_m_s = \sqrt(3RT/M)[/tex]
where, R is universal gas constant in terms of energy and it's value is 8.314 J/mol.K
T is kelvin temperature.
T = 38.7 + 273 = 311.7 K
M is molar mass and the molar mass of nitrogen gas is 28 g/mol. Need to convert it to kg/mol and so it becomes 0.028 kg/mol.
Let's plug in the values in the formula...
[tex]v_r_m_s = \sqrt(3*8.314*311.7/0.028)[/tex]
[tex]v_r_m_s = 526.93 m/s
