The initial stage of star formation is the collapse of a gravitationally unstable volume of gas within a molecular cloud. a Find the Jeans mass and radius for a molecular cloud at a temperature T = 10 K and number density n = Give your answers in solar masses and au, respectively. 106 cm-3. Assume the mean particle mass is µmH, where u = 2.8. b Assuming the molecular gas follows the ideal gas law, calculate |dP/dr| ~ |AP/Ar| ~ Pe/RJ (units [N m-³]) at the beginning of the collapse, where Pe is an approximate value for the central pressure of the cloud. Assume that P = 0 at the edge of the molecular cloud, and the mass and radius are the values determined above.

The initial stage of star formation is the collapse of a gravitationally unstable volume of gas within a molecular cloud. a Find the Jeans mass and radius for a molecular cloud at a temperature T = 10 K and number density n = Give your answers in solar masses and au, respectively. 106 cm-3. Assume the mean particle mass is µmH, where u = 2.8. b Assuming the molecular gas follows the ideal gas law, calculate |dP/dr| ~ |AP/Ar| ~ Pe/RJ (units [N m-³]) at the beginning of the collapse, where Pe is an approximate value for the central pressure of the cloud. Assume that P = 0 at the edge of the molecular cloud, and the mass and radius are the values determined above.