A spherical giant molecular cloud, composed predominantly of molecular hydrogen, H2, has a total mass of 15M@, has constant density throughout the cloud, and is 0.3 pc in diameter. Part (a): Calculate the density and the number density of hydrogen molecules, nH2 . Part (b): If the temperature of this cloud is 15 K, what is its Jeans mass? Part (c): Explain briefly - would this cloud collapse spontaneously