Question

Find the RMS speed of N2 at 27degreeC

Answer 1

 Best Answer

The rms speed is related to the other variables such as temperature and molecular mass through 

Vrms = sqrt(3 R T/M), where M is the molar mass of the gas, R the gas constant and T the ABSOLUTE temperature. 

So if rms speeds are equal, then 

T1/M1 = T2/M2 

or 

T1 = (M1/M2) T2 

Now M1 (the molar mass of SO2) is 64.1 g/mole, whilst that of O2 is 32.0 grams/mole. 

Therefore M1/M2 = 2, so the absolute temerature of SO2 should be twice that of the absolute temperature of O2. 

So 

T1 = 2 T2 
= 2 * (273 + 27) = 600 K 

In Celsius that is 327 Celcius.

Answer 2

RMS= square root of (3RT/M)
where R=8.314 J/K/mole
T=25+273=298K
M= molecular mass of N2 in kg=28x10^-3Kg

putting the values.....


RMS= square root of (3x8.314x298/28x)
10^-3= square root of (265454.143)= 515.2m/s