[Four-digit Integer] A faulty barometer has some trapped air above the mercury column due to which i β States of Matter and Gaseous State Chemistry Question
Question
[Four-digit Integer] A faulty barometer has some trapped air above the mercury column due to which it does not give the correct reading. When the atmospheric pressure is 760 mm Hg, the barometer reads 750 mm Hg and when the pressure is 800 mm Hg, the barometer reads 770 mm Hg. The actual pressure (in mm Hg), when the barometer reads 760 mm Hg, is
![Chemistry diagram for: [Four-digit Integer] A faulty barometer has some trapped air above the mercury column due to which it does not give the](https://urywdhpqdpvmqzlenttu.supabase.co/storage/v1/object/public/question-images/nk/ch03_exII_Q1.png)
Answer: 0775
π‘ Solution & Explanation
Let $L$ be tube length. Air pressure $= P_{atm} - h$; volume $\propto (L-h)$. Using Boyle's law: $10(L-750)=30(L-770)$ $\Rightarrow L=780$ mm. When reading = 760: $10\times30 = (P-760)\times20$ $\Rightarrow P=775$ mm Hg. Answer: $\boxed{0775}$
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