Question

At 35°C, argon has a velocity of 300 m/s. What is the velocity of helium at the same temperature?

Answer 1

`"948 m/s"`

Explanation:

Velocity of gas molecules at constant temperature is inversely proportional to square root of Molar mass of gas

`"v" ∝ 1/sqrt"M"`

From above

`"v"_"He"/"v"_"Ar" = sqrt("M"_"Ar"/"M"_"He")`

`"v"_"He" = "v"_"Ar" × sqrt("M"_"Ar"/"M"_"He")`

`color(white)("v"_"He") = "300. m/s" × sqrt("39.948 g/mol"/"4.0026 g/mol")`

`color(white)("v"_"He") = 947._8 "m/s"`