$[10$ points$]$ Thinking back to our discussion about condensation particle counters...

a$.[5$ points$]$ What is the minimum relative humidity required to keep a $0\mathrm{.}2m$ water

droplet from evaporating, supposing you had very cold conditions of $274$ K $?$

b$.[5$ points$]$ What would the minimum relative humidity needed be if you instead

had a $0\mathrm{.}05m$ water droplet? You may need to look some values up in reference

tables $($it$\text{'}$s ok if they are approximate and are not exactly for $274$ K $,$ as long as

they are close$).$ Compare your two results and explain why the values are

different.