magine a giant dry-cleaner’s bag full of air at a temperature of −35°C floating like a balloon with a string hanging from it 10 km above the ground. Estimate what its temperature would be if you were able to yank it suddenly back to Earth’s surface.
The combined gas law states that
P V / T = a constant
If the volume constant then P / T = a constant
Where P and T are pressure and the temperature of the gas at a
time
The pressure at 10 km above the sea level is
P1 = 265 milli bar = 26.5 k Pa
The pressure at the sea level is P2 = 1000 milli bar =
100 k Pa
The temperature of the air at 10 km is T1 =
238 K
We need to find the temperature at the sea level
T2
Using the above law
P1 / T1 = P2 /
T2
T2 = (P2 / P1)
T1
T2 = (100 k Pa / 26.5 ) x 238
T2 = 898.11 K = 625.110C
magine a giant dry-cleaner’s bag full of air at a temperature of −35°C floating like a...
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