Question

Calculate the root mean square velocity of So2 at S.T.P

Answer 1

v=under the root 3RT/M
T=273K
M=0.064kg
v=uder the root 3×8.8314×273/0.064
v=326m/s

Answer 2

The root mean square velocity of $SO_2$ at S.T.P is $326ms^{-1}$

Explanation:

Standard condition of temperature (STP)  is 273 K and atmospheric pressure is 1 atmosphere respectively.

Formula used for root mean square speed :

$\mu _{rms}=\sqrt{\frac{3RT}{M}}$

where,

$\mu _{rms}$ = rms speed of the molecule

R = gas constant  = 8.314 J/Kmol

T = temperature  = 273 K

M = molar mass of the gas = 64 g/mol =0.064 kg/mol

$\mu _{rms}=\sqrt{\frac{3\times 8.314J/Kmol\times 273K}{0.064kg/mol}}$

$\mu _{rms}=326ms^{-1}$

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