At what temperature will uranium hexafluoride , the densest gas known have the same average speed as a molecule of the lightest gas, hydrogen at 37 degree celcius

the required temperature of uranium hexafluoride is 54156.25 K

Explanation:

Given the data in the question;

We know that average speed is;

u = ----------- let this be equation 1

where MM is the molar mass

T is temperature

R is universal gas constant and u is the average speed.

First we get the average speed of H₂

₂ =   ------ let this be equation 2

Next is the average speed of UF₆

₆ = ------ let this be equation 3

given that; both have the same average speed, equation 2 = equation 3;

=

we multiply both sides by 1/3R and also square both sides.

=

given that; temperature of hydrogen T₂ = 37°C = ( 37 + 273.15)K = 310.15 K

we know that Molar mass of H₂; MM₂ = 2.016 g/mol  

and molar mass of  UF₆; MM₆ = 352.02 g/mol

so we substitute

[ 310.15 K / 2.016 g/mol  ] = [ T₆ / 352.02 g/mol ]

T₆ = [ 352.02 g/mol  × 310.15 K ] / 2.016 g/mol

T₆ = 109179.003 K/ 2.016

T₆ = 54156.25 K

Therefore, the required temperature of uranium hexafluoride is 54156.25 K

answers: to make sure that all of the broken pieces of tablet were added to the water, to allow for fair comparison of all three trials, with different particle sizes to avoid experimental error