Question

At the top of a mountain a thermometer read 7⁰ C and barometer reads 70 cm of Hg. At the bottom of the mountain the barometer reads 76cm of Hg and thermometer reads 27⁰ C. The density of air at the top of mountain is ______ times the density at the bottom.

Moderate

Solution

$\frac{PV}{T} = constant$
$V = \frac{m}{d}; \frac{Pm}{dT} = constant; \frac{P_{1}}{d_{1} T_{1}} = \frac{P_{2}}{d_{2} T_{2}}$

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