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Question: Answered & Verified by Expert
An air column closed in a tube sealed at one end by a Hg column having height h . When the tube is placed with open end down, the height of the air column is l1. If the tube is turned so that its open end is at the top, the height of the air column is l 2 . What is the atmospheric pressure P0-

ChemistryStates of MatterJEE Main
Options:
  • A P0=hl1+l2l2-l1 cm of Hg
  • B P0=hl1-l2l1+l2 cm of Hg
  • C 76 cm of Hg
  • D P0=hl1+l2l1-l2cm of Hg .
Solution:
2710 Upvotes Verified Answer
The correct answer is: P0=hl1+l2l1-l2cm of Hg .
Let P 0 be the value at atmospheric pressure



In case I:
Pgas+h cm of Hg=P0 cm of Hg
In case ii
Pgas=P0 cm of Hg+h cm of Hg
By applying Boyle's law between I & II
P0  h×l1=P0+h×l2
or P0l1- hl1=P0l2+hl2
or P0 l1-l2=h l1+l2
or P0=hl1+l2l1-l2

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