Question #103508
A column of air 26cm long is trapped by a Mercury thread 5 cm.whenthe tube is inverted the air column now is 28cm. What is the atmospheric pressure
1
Expert's answer
2020-02-24T10:10:12-0500

Let the atmospheric pressure be P and the pressure of the trapped gas be p

when tube is in vertical direction then

p1=P+5p_1=P+5

when tube is inverted

p2=P5p_2=P-5

As here temperature and number of moles are constant so we can apply boyle's law

pV=constantpiVi=pfVfpV=constant\newline p_iV_i=p_fV_f

(P+5)A26=(P5)A28(P+5)*A*26=(P-5)*A*28

26P+130=28P14026P+130=28P-140

P=135cm of hgP=135cm \ of \ hg





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