A) Find the gas speed of ethane at 200.0 degrees Celsius. b) What is the rate of effusion of ethane (C2H6) compared to hexane (C6H14) gas at the same temperature?

a. 627.1 m/s

b.  the rate of effusion of ethane = 1.7 faster than hexane

Given

T = 200 + 273 = 473 K

Required

a. the gas speed

b. The rate of effusion comparison

Solution

a.

Average velocities of gases can be expressed as root-mean-square averages. (V rms)  

R = gas constant, T = temperature, Mm = molar mass of the gas particles  

From the question  

R = 8,314 J / mol K  

T = temperature  

Mm = molar mass, kg / mol  

Molar mass of Ethane = 30 g/mol = 0.03 kg/mol

b. the effusion rates of two gases = the square root of the inverse of their molar masses:  

M₁ = molar mass ethane =30

M₂ =  molar mass hexane = 86

the rate of effusion of ethane = 1.7 faster than hexane