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

Explanation

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