[Four-digit Integer] Temperature and relative humidity of air are 27°C and 75% on a certain day. Vap — States of Matter and Gaseous State Chemistry Question
Question
[Four-digit Integer] Temperature and relative humidity of air are 27°C and 75% on a certain day. Vapour pressure of water at 27°C and 7°C are 24.0 mm and 8.4 mm Hg, respectively. If the fraction of the mass of water vapour that will condense, if the temperature falls to 7°C, is x, then the value of 1000x is
![Chemistry diagram for: [Four-digit Integer] Temperature and relative humidity of air are 27°C and 75% on a certain day. Vapour pressure of wate](https://urywdhpqdpvmqzlenttu.supabase.co/storage/v1/object/public/question-images/nk/ch03_exII_Q9.png)
Answer: 0500
💡 Solution & Explanation
Initial partial pressure of water: $P_1=0.75\times24=18$ mm Hg at 300 K. After cooling to 280 K, remaining: $P_2=8.4$ mm Hg (saturated). Fraction remaining: $\frac{n_2}{n_1}=\frac{8.4\times300}{18\times280}=0.50$. Fraction condensed: $x=0.50$. $1000x=500$. Answer: $\boxed{0500}$
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