Question

for a constant temperature, which will have the greatest average speed? answer: a ne b ar c kr d theyll all have equal speeds.

Explanation:

Step1: Recall the formula for average speed

The formula for the average speed of gas molecules is \(v_{avg}=\sqrt{\frac{8RT}{\pi M}}\), where \(R\) is the gas constant, \(T\) is the temperature, and \(M\) is the molar mass of the gas.

Step2: Analyze the effect of molar mass

Since \(R\) and \(T\) (constant temperature) are the same for all gases in the options, the average speed is inversely proportional to the square - root of the molar mass (\(v_{avg}\propto\frac{1}{\sqrt{M}}\)).
The molar mass of \(Ne\) (\(M_{Ne} = 20.18\space g/mol\)), \(Ar\) (\(M_{Ar}=39.95\space g/mol\)), \(Kr\) (\(M_{Kr} = 83.80\space g/mol\)).
As \(M_{Ne}

Answer:

A. Ne