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## 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