At the top of a mountain a thermometer reads `7^(0)C` and barometer reads `70 cm` of `Hg`. At the bottom of the mountain the barometer reads `76 cm` o

Question

At the top of a mountain a thermometer reads `7^(0)C` and barometer reads `70 cm` of `Hg`. At the bottom of the mountain the barometer reads `76 cm` o

At the top of a mountain a thermometer reads `7^(0)C` and barometer reads `70 cm` of `Hg`. At the bottom of the mountain the barometer reads `76 cm` of `Hg` and thermometer reads `27^(0)C`. The density of air at the top of mountain is "_" times the density at the bottom.

Monjur Alahi

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2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

By gas equation `PV = (M)/(M_(w)) RT implies (P)/(rhoT) = (R)/(M_(w)) [because mu = (M)/(M_(w))` and ` (M)/(V) = rho]`
Now as `M_(w)` and `R` are same for top and bottom `[(P)/(rhoT)]_(T) = [(P)/(rhoT)]_(B)` So `(rhoT)/(rhoB) = (P_(T))/(P_(B))xx(T_(B))/(T_(T)) = 70/76xx300/280= 75/76 = 0.9868`

5 views Answered 2023-02-05 15:29