Answer:
[tex]C_{rms}=465.76\ m/s[/tex]
Explanation:
The expression for the root mean square speed is:
[tex]C_{rms}=\sqrt {\dfrac {3RT}{M}}[/tex]
R is Gas constant having value = 8.314 J / K mol
M is the molar mass of gas
Molar mass of [tex]NO_2[/tex] = 0.04599 kg/mol
Temperature = 400 K
Thus,
[tex]C_{rms}=\sqrt{\frac{3\times 8.314\times 400}{0.04599}}[/tex]
[tex]C_{rms}=\sqrt{\frac{9976.8}{0.04599}}[/tex]
[tex]C_{rms}=465.76\ m/s[/tex]
