Two-fluid magnetohydrodynanic equations are applied to dark molecular clouds that are composed of neutrals mixed with minor charged particles, weakly ionized gas systems. The result shows the temperatures are higher at the cloud edges than at their inner regions, the cause of which is that the cloud potential, released as clouds contract particularly at their edges, along with some dissipated rotational kinetic energy is converted into thermal.The cloud contracting is due to the loss of the magnetic field that threads it through ambipolar diffusion.Nevertheless, without the support of the magnetic and the centrifugal forces in the direction of the magnetic field assumed to be parallel to the cloud rotating axis, the cloud collapses in that direction when its mass is over the Jeans mass.