Question

Calculate the root mean square velocity and kinetic energy of CO, CO2, and SO3 at 264 K .​

A. Calculate the root mean square velocity of CO at 264 K

B. Calculate the root mean square velocity of CO2at 264 K .

C. Calculate the root mean square velocity of SO3at 264 K .

D. Calculate the kinetic energy of CO at 264 K .

E.Calculate the kinetic energy of CO2 at 264 K .

F. Calculate the kinetic energy of SO3 at 264 K .

Answer 1

for A-C use

RMS = sqrt(3RT/MW)

all msut be in SI units

then

A

MW of CO = 28 g/mol = 28*10^-3 kg/mol

RMS = sqrt(3*8.314*264/(28*10^-3))

RMS = 484.94 m/s

B)

MW of CO2 = 44g/mol = 44*10^-3 kg/mol

RMS = sqrt(3*8.314*264/(44*10^-3))

RMS = 386.84 m/s

C)

MW of SO3 = 80.066 g/mol = 80.066 *10^-3 kg/mol

RMS = sqrt(3*8.314*264/(80.066 *10^-3))

RMS = 286.776 m/s

for

D-F

use

Ek = 1/2*m*V^2

where m = MW

so

d)

MW of CO = 28 g/mol = 28*10^-3 kg /mol

V= 484.94 m/s

Ek = 1/2*m*V^2

Ek = (1/2)(28*10^-3)(484.94 ^2)= 3292.3 J

e)

MW of CO2 = 44g/mol = 44*10^-3 kg /mol

V= 386.84 m/s

Ek = 1/2*m*V^2

Ek = (1/2)(44*10^-3)(386.84 ^2)= 3292.19 J

f)

MW of SO3= 80.066 g/mol = 80.066 *10^-3 kg /mol

V= 386.84 m/s

Ek = 1/2*m*V^2

Ek = (1/2)(80.066 *10^-3)(286.776 ^2)= 3292.33 J