# Cloud Collapse/Degeneracy

1. Oct 2, 2011

### AnniB

1. The problem statement, all variables and given/known data
1. Consider a cloud that consists entirely of molecular hydrogen. The temperature is a uniform 15 K and the number density of particles is 5x109 m-3. Assuming a 100% efficient collapse, subsequent star birth and normal evolution, what type of degenerate remnant will result? Justify your answer with appropriate calculations.

2. For the same cloud in problem 1, assume that the cloud is able to form multiple stars of various masses. Calculate the initial mass of a star whose main sequence lifetime will equal the free fall timescale for the cloud.

2. Relevant equations
N=Mcloud/mH
M=(4/3)$\pi$r3$\rho$
r=(3M/(4$\pi$$\rho$))1/3
tff=$\sqrt{}3\pi/32Gρ$