In: Chemistry
Part A
Place the following gases in order of decreasing average molecular speed at 29 °C: Ne, HBr, SO2, NF3, CO.
Part B
Calculate the rms speed of NF3 molecules at 29 °C.
A)
vrms = sqrt (3*R*T/M)
here : T is temperature in Kelvin
M is molar mass
vrms = sqrt (3*R*T/M)
here : T is temperature in Kelvin
M is molar mass
Since T is same for all, the one with lower molar mass will have higher speed
Lets list out molar mass of all given compounds
Molar mass of Ne = 20.18
Molar mass of HBr = 80.908
Molar mass of SO2 = 64.07
Molar mass of NF3 = 71.01
Molar mass of CO = 28.01
Increasing order of molar mass is:
Ne
CO
SO2
NF3
HBr
Same is the order of decreasing vrms
From fastest to slowest
Ne
CO
SO2
NF3
HBr
Ne > CO > SO2 > NF3 > HBr
B)
Molar mass of NF3,
mm = 71.01g/mol
= 0.07101 Kg/mol
T= 29.0 oC
= (29.0+273) K
= 302 K
vrms = sqrt (3*R*T/M)
here : T is temperature in Kelvin
and M is molar mass in Kg/mol
So,
vrms = sqrt(3*8.314*302.0/0.07101)
= 326 m/s
Answer: 326 m/s