Calculate RMS speed of hydrogen molecules in a sample of hydrogen gas at 300 K?
1 Answer
Dec 14, 2017
The RMS speed of any homogeneous gas sample is given by:
#v_(RMS) = sqrt((3RT)/M)# ,where
#R# is the universal gas constant in#"J/mol"cdotK"# ,#T# is temperature in#"K"# , and#M# is molar mass in#"kg/mol"# .
Thus,
#color(blue)(v_(RMS)) = sqrt((3 cdot "8.314472 J/mol"cdot"K" cdot "300. K")/("0.0020158 kg/mol"))#
#=# #color(blue)("1930 m/s")#
to three sig figs. Why did we have to use molar masses in