Given the molar mass of N as 140 g/mol .find the root mean square of the velocity at T=50K?

1 Answer
Junaid Mirza
May 19, 2018

#"298 m/s"#

Explanation:

Molar mass of nitrogen (#"N"#) = #"14.0 g/mol" = 14.0 × 10^-3\ "kg/mol"#

Root mean square speed of gas is

#"v" = sqrt("3RT"/"M")#

#"v" = sqrt("3 × 8.314 J / (mol K) × 50 K"/(14.0 × 10^-3\ "kg/mol"))#

#"v" = sqrt("89078.57 J/kg") ≈ "298 m/s"#

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