Calculate the temperature at which root mean square speed of SO2 molec

1.	Calculate the temperature at which root mean square speed of SO2 molecules is the same as that of oxygen at 27°C
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.

Calculate the temperature at which root mean square speed of SO2 molecules is the same as that of oxygen at 27°C

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

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.

T1 = 2 T2= 2 * (273 + 27) = 600 K

In Celsius that is 327 Celcius.