1.

A horizontal uniform glass tube of 100 cm length, sealed at both ends contains 10 cm mercury column in the middle. The temperature and pressure of air on either side of mercury column are respectively 31°C and 76 cm of mercury. If the air column at one end is kept at 0^@C and the other end at 273^@C, the pressure of air which is at 0^@C is (in cm of Hg)

Answer»

<P>76
88.2
102.4
122

Solution :Using IDEAL gas equation
`(76xx45)/((273+31)) =(P_(2)xxl)/(273+0) =(P_(3)(90-l))/(273 + 273)`
`(P_(2)xxl)/273 =(P_(3)(90-l))/546`
[`because` Mercury COUMN is at REST, `P_(2) = P_(3)`]
`therefore l=30cm`
`(76xx45)/304 =(P_(2)xx30)/273`
`therefore P_(2) = 102.4`


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