First slide

Gaseous state

Question

At the top of the mountain the thermometer reads O°C and the barometer reads 71O mmHg. At the bottom of the mountain the temperature is 30°C and pressure is 760 mmHg. Densify of air at the top with that at the bottom is

Moderate

A

1 : 1
B

1.04 : 1
C

1 : 1.04
D

1 : 1.5

Solution

$Density (d) = \frac{pm}{RT} d \propto \frac{p}{T}$ (If m is same)
$\frac{(d)_{top}}{(d)_{bottom}} = (\frac{p_{top}}{T_{top}}) (\frac{T_{bottom}}{p_{bottom}}) = (\frac{710}{273}) (\frac{303}{760}) = 1 .04$

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