At the top of a mountain a thermometër r...

At the top of a mountain a thermometër reads `7^@C` and a barometer reads 70 cm of Hg. At the bottom of the mountain these read `27^@C` and 76 cm of Hg respectively. Comparison of density of air at the top with that of bottom is

75/76

70/76

76/75

76/70

Text Solution

Verified by Experts

The correct Answer is:

`P_1/(rho_1T_1)=P_2/(rho_2T_2)`
`rArrrho_1/rho_2=P_1/P_2xxT_2/T_1`
`rho_"top"/rho_"Bottom"=P_"Top"/P_"Bottom"xxT_"Bottom"/T_"Top"=(70)/(76)xx(300)/(280)=(75)/(76)`

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