a raindrop with an initial radius of 1000 m exits the cloud base which is located 5 km above the

To solve the problem step by step, we will break it down into parts a, b, c, and d.

Question

A raindrop with an initial radius of 1000 μm exits the cloud base, which is located 5 km above the ground. Assume that as the drop falls, it’s radius will change as it evaporates, but it’s velocity is always given by it’s terminal velocity, or v = ar, where r is radius and a = 8 x 103 s-1. If the relative humidity between cloud base and ground is constant 60%: [Hint: use the growth equation and assume ξ1 = 700 μm2 s-1] a) What will be its radius at the ground? b) How long will it take to reach the ground? c) Alternatively, if we make the assumption that the saturation ratio beneath the cloud base is constant. If a raindrop after falling 500 meters completely evaporates in 10 minutes. What would be its saturation ratio? d) Using assumptions from part c, what would be the new corresponding relative humidity?

          A raindrop with an initial radius of 1000 μm exits the cloud base, which is located 5 km above the ground. Assume that as the drop falls, it’s radius will change as it evaporates, but it’s velocity is always given by it’s terminal velocity, or v = ar, where r is radius and a = 8 x 103 s-1. If the relative humidity between cloud base and ground is constant 60%: [Hint: use the growth equation and assume ξ1 = 700 μm2 s-1] a) What will be its radius at the ground? b) How long will it take to reach the ground? c) Alternatively, if we make the assumption that the saturation ratio beneath the cloud base is constant. If a raindrop after falling 500 meters completely evaporates in 10 minutes. What would be its saturation ratio? d) Using assumptions from part c, what would be the new corresponding relative humidity?

Added by Douglas H.

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