Question

Maybelline Cousteau’s backup oxygen tank reads 900 mmHg while on her boat, where the temperature is 27 o C. When she dives down to the bottom of an unexplored methane lake on a recently-discovered moon of Neptune, the temperature will drop down to –183 o C. What will the pressure in her backup tank be at that temperature? (270 mmHg)

Answer 1

Using the gas laws, the final pressure is 270 mmHg.

Gas laws

The gas laws are all based on the ideas that gases have ideal gas behavior at elevated temperatures and pressure.

Now we have;

P1 = 900 mmHg

T1 = 27 o C or 300 K

P2 = ?

T2 = –183 o C or 90K

So;

P1/T1 = P2/T2

P1T2 =P2T1

P2 = P1T2/T1

P2 =  900 mmHg ×  90K/300 K

P2 = 270 mmHg

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