The temperature inside the space station is 18 degrees Celsius and the air press

Question

The temperature inside the space station is 18 degrees Celsius and the air pressure in the space station is 7 mmhg. A balloon with a volume of 893 mL inside the station floats out onto Planet X where the atmospheric pressure is 0.294 atm. The volume of the balloon is now 2305 mL. What is the temperature on Planet X in units of Celsius. The temperature inside the space station is 18 degrees Celsius and the air pressure in the space station is 7 mmhg. A balloon with a volume of 893 mL inside the station floats out onto Planet X where the atmospheric pressure is 0.294 atm. The volume of the balloon is now 2305 mL. What is the temperature on Planet X in units of Celsius.

Explanation / Answer

T1 = 18°C = 18+273 = 291 K

P1 = 7 mm Hg

V1 = 893 mL

P2 = 0.294 atm = 0.294*760 = 223.44 mm Hg

V2 = 2305 mL

T2 = ?

assume ideal gas law

P1V1/T1 = P2V2/T2

T2 = P2V2/(P1V1) * T1

T2 = (223.4*2305)/(7*893) * (291) = 23975.923 K

T2 = 23975.923 -273 = 23702.923 °C (due to increase in P)

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