The atmosphere on Venus can be considered to behave as an ideal gas with a mean molecular weight of 44 . The temperature varies little with depth but hovers at an incredible $350^{\circ} \mathrm{C}$. The density of the atmosphere at the planet's surface is $2 \mathrm{~kg} / \mathrm{m}^{3}$ and the acceleration due to gravity is the same as the Earth's. Calculate how the density of the atmosphere varies as a function of height above the surface.