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 pressure is `760 mm Hg`. The ratio of the density of air at the top with that at the bottom is

Options

A. (a)`1:1`
B. (b)`1.04:1`
C. (c )`1:1.04`
D. (d)`1:1.5`

Answer

B

Explanation

`PV=nRT=w/mRT`
`P=(dRT)/m d prop P/T`
`d_(("top"))/d_(("bottom"))=710/273xx303/760=1.04:1`