a barometer record 700 mmHg pressure when the atmospheric pressure is 720 mmHg and the barometer records 720 mmHg pressure when the atmospheric pressure is a 750 mmHg what should be the atmospheric pressure when parameter records 750 mmHg

Asked by shivamdubey8140 | 19th May, 2022, 04:48: AM

Expert Answer:

Let pressure that is read from barometer be P . Let this pressure P varies with atmospheric pressure Pa linearly
 
P = m Pa + C
 
where m and C are constants to be determined
 
when atmospheric pressure Pa = 720 mm of Hg , barometer reads P = 700 mm of Hg
 
700 = m 720 + C  .........................(1)
 
when atmospheric pressure Pa = 750 mm of Hg , barometer reads P = 720 mm of Hg
 
720 = m 750 + C  ....................(2)
 
Bysubtracting eqn.(1) from eqn.(2) , we get
 
we get  m = (2/3)
 
By substituting m = (2/3) in eqn.(1) we get C = 220
 
Hence , Pa = ( P - C ) / m
 
If barometer reads P = 750 mm , then Pa = ( 750 - 220 ) × (3/2) = 795 mm of Hg
 

Answered by Thiyagarajan K | 19th May, 2022, 09:29: AM

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