Can a Cloud Containing 8 Solar Masses Collapse?

[Meganwright]

Homework Statement

A cloud consists of 8 solar masses of hydrogen gas (H2). Its temperature is 20 K and its radius is 0.6 light years. Will it collapse?

Homework Equations

Mj=3kTR/2Gm
3/2kT<GMm/R

The Attempt at a Solution

m=2 x 1.67 x 10^-27
G=6.67 x 10^-11
k=1.38 x 10^-23
T=20
M=1.67 x 10^31
8 solar masses = 1.67 x 10^31

mj=(3 x (1.38x10^-23) x 20)/(2 x (6.67x10^-11) x (2 x 1.67 x 10^-27)
mj = (8.28 x 10^-22)/(4.45556 x 10^-37)
mj=1.858 x 10^15

 

[mfb]

There are several units missing, and you could explain what you did.
Which conclusion did you draw based on that calculation?