# Space Is Full Of Hot Gas

A hot, spherically symmetric cloud of an ideal gas ($$H_2$$ for example) is in intergalactic space. The gas is in equilibrium and the density $$\rho(r)$$ of the gas is given by $$\rho(r)=\rho_0r^{-2}$$. What is the ratio of the temperature at a distance $$r_0$$ to the temperature at a distance $$2r_0$$?

×