Discussion
Which relationship connects mixing ratio and vapour pressure?
Answer: D
The relation \( w = \epsilon e/(p-e) \) follows directly from applying the ideal gas law to each component and taking the ratio of the masses. Because \( e \) is usually small compared with \( p \), the approximation \( w \approx \epsilon e/p \) is often used and is accurate to about one per cent in the lower troposphere. Deriving the exact form once makes the approximation easy to justify when it is needed. Most errors here come from carrying a result across from a neighbouring case where it does not hold.
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