At the top of the mountain, the thermometer reads `0^(@)C` and the barometer reads 710 mm Hg. At the bottom of the mountain the temperature is `30^(@)C` and the prëssure is 760 mm Hg. The ratio of the density of air at the top with that at the bottom is (assume average molar mass of air remains constant)

Options

A. `1 : 1`
B. `1.04 : 1`
C. `1 : 1.04`
D. `1 : 1.5`

Answer

B

Explanation

`PV= nRT= (w)/(m)RT implies P= (dRT)/(m)`
`d propto (P)/(T) implies (d_("top"))/(d_("bottom"))= (710)/(273)xx(303)/(760)= 1.04 : 1`.