Problem 1.5 (20 pts) (1)Consider an air parcel at sea level (p=1013hPa) with 30 ∘
C and 50%RH. The saturation water vapor pressure at 30 ∘
C is 42hPa. Show that the water mixing ratio in this air parcel is C H2O
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=0.021 mol mol −1
. (2) Assume a CO 2
​
mixing ratio of 410ppm in that sea-level air parcel. As the air parcel rises through the air, its water vapor may be removed by cloud formation and precipitation. Assuming 100% removal of water vapor, and no dissolution of CO 2
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in the condensed water, what is the mixing ratio of CO 2
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in the dried-out air parcel? (3) A way to ensure that mixing ratio is conserved during transport is to define it relative to dry air, so Cx= moles of X/( mole of dry air) where "dry air" excludes the contribution from water vapor. Briefly explain.