Question

Gas Laws:

A) Determine the DENSITY of Chlorine gas at 30.0 degrees celsius and 750 mm of Hg?

B) How much faster are fluorine molecules than chlorine molecules at the same temperture?

c) What would be the volume of a container with 20.0 g of nitrogen gas at 27 degrees celcius and 770 mm of Hg?

d) For the reaction: Al₂ (CO₃)₃ (s) + 6HCl (aq) ----> 2AlCl₃ (aq) +3CO₂ (g) + 3H₂O(l)

If 2.00 g of aluminum carbonate react, the carbon dioxide gas is collected over water (VPH2O) = 24 mm og Hg) what volume of carbon dioxide gas at 20 degrees celsius and 772 mm of Hg would form?

Answer 1

(A)

We know that PV = nRT

                             = ( m/M ) RT

                         P = ( m/V ) * ( RT / M )

                         P = dRT /M

Where

d = density = ?

T = Temperature = 30.0oC = 30.0+273 = 303.0 K

P = pressure = 750 mm Hg = 750/760 = 0.987 atm

M = Molar mass of Cl2 = 71g/mol

R = gas constant = 0.0821 L atm / mol - K

m = mass of the gas

V= Volume of the gas

Plug the values we get d = (PM) / (RT)

= 2.82 g/L

(B) According to Grahm's law of diffision , r is inversly proportional to square root of its molar mass

So r'/r = (M/M')

Where

r' = rate of F2

r = rate of Cl2

M' = Molar mass of F2 = 38 g/mol

M = MOlar mass of Cl2 = 71 g/mol

Plug the values we get r'/r = 1.37

So r' = 1.37 x r

Therefore Fluorine travels 1.37 times faster than that of Cl2