Suppose that the average velocity (vrmsvrms) of carbon dioxide molecules (molecular mass is equal to 44.0 g/mol) in a flame is found to be 1.05×105m/s1.05×105m/s. What temperature does this represent?

Respuesta :

Answer:

Temperature is 19464105 K or 1.94×[tex]10^{7}[/tex]K

Explanation:

Given data

mass=44 [tex]\frac{g}{mol}[/tex]

Vrms=[tex]1.05*10^{5}\frac{m}{s}[/tex]

Temperatur=?

Solution

[tex]Vrms=\sqrt{\frac{3kT}{m} }\\ k=1.38*10^{-23}\frac{j}{K}\\  Vrms^{2}=\frac{3kT}{m}\\  T=\frac{mVrms^{2} }{3k}[/tex]

[tex]T=\frac{(44*(\frac{1kg}{1000g} )*\frac{1}{6.02*10^{23}molecules } )*(1.05*10^{5} )}{3*1.38*10^{-23} }\\ T=19464105K\\T=1.9*10^{7} K[/tex]