Yes, the sky is typically blue in the desert.
The reason for the blue sky in the desert is essentially the same reason the sky is blue anywhere else: Rayleigh scattering. This phenomenon occurs when sunlight interacts with the molecules in the atmosphere, primarily nitrogen and oxygen. Shorter wavelengths of light, such as blue and violet, are scattered more effectively than longer wavelengths like red and orange. This scattering effect causes us to perceive the sky as blue.
However, the purity of the desert air often enhances this blue color. Deserts generally have less pollution, fewer clouds, and a lower concentration of water vapor compared to many other environments. This reduced presence of aerosols (tiny particles suspended in the air) means less light is absorbed or scattered by these particles, allowing the blue light to dominate.
In summary, the relative absence of pollutants and water vapor in desert air allows for a clearer and more vibrant blue sky due to Rayleigh scattering. This clear air also contributes to the stunning sunsets often observed in desert regions.