Suppose that the root‑mean‑square velocity vrms of carbon dioxide molecules (molecular mass is equal to 44.0 g/mol ) in a flame is found to be 1310 m/s. What temperature T does this represent? The Boltzmann constant is k=1.38×10−23 J/K and Avogadro's number is A=6.022×1023 mol−1.

Answer : The value of temperature is, 3028.7 K

Explanation :

The formula used for root mean square speed is:

where,

= root mean square speed  = 1310 m/s

k = Boltzmann’s constant =

T = temperature = ?

M = molar mass = 44.0 g/mole  = 0.044 kg/mol

= Avogadro’s number =

Now put all the given values in the above root mean square speed formula, we get:

Therefore, the value of temperature is, 3028.7 K

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