CHEMISTRY HeLP!?!?!?!?

Question

I need help w/ these questions...

-If 10 liters of Nitrogen reacts w/ 4 liters of Hydrogen at te same temperature and pressure - what is the volume of Ammonia produced?

-A sample of helium effuses through a porous container 6.5 times faster than does an unknown gas X. What is the molar mass of the unknown gas?

-At a certain temperature and pressure, chlorine molecules have a velocity of .038 m/s. What is the velocity of sulfur dioxide molecules under the same conditions?


Know Im basically clueless on how to do these, so ANY help would be great

Answer 1

N2+3H2--->2NH3
So 1 volume of N2 reacts with 3 volumes of H2 . this ,since in a gaz the volume is proportional to the number of moles . Here we see that the Grahams laws R1/R2 =(M1/M2)^0.5
so 6.5 = R(g)/(R(He) = (M(g)/M(He))^0.5
6.5^2 =42.25
42.25 = (M(g)/M(He)
M(g) = 42.25*4 =169

you have kinetic theory of gazes mv^2 =3kT

mis proportional to atomic weight Chlorine has MW =71

SO2 =32+2 =64

so m (SO2) v^2 (SO2) =m (Cl2) v^2 (Cl2)

and v^2 (SO2) = m (Cl2) v^2 (Cl2)/SO2

v^2 (SO2) = 71 * (0.038)^2/64 =0.0016m^2/s^2

and v (SO2) =0.04m/s