Will a cloud collapse?

  • #1

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
 

Answers and Replies

  • #2
35,437
11,856
There are several units missing, and you could explain what you did.
Which conclusion did you draw based on that calculation?
 

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