QUESTION 7 A gas filled weather balloon has a volume a volume of 50.0 L at ground level, where the pressure is 767 mm Hg and the temperature is 22.6o C. after being released, the balloon reaches to an altitude where the temperature is – 2.56 0C and the pressure is 0.0786 atm. What is the weather balloon's Volume in L at the higher altitude ?

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QUESTION 7

  1. A gas filled weather balloon has a volume a volume of 50.0 L at ground level, where the pressure is 767 mm Hg and the temperature is 22.6C. after being released, the balloon reaches to an altitude where the temperature is – 2.56 0C and the pressure is 0.0786 atm. What is the weather balloon's Volume in L at the higher altitude ?

Expert Solution
Step 1

For the phase change of the ideal gas the temperature, pressure, and volume of the initial state and the final state are given by the following combined gas equation:

Chemistry homework question answer, step 1, image 1

Where

P1 = initial pressure of gas = 767 mmHg

V1 = initial volume of gas = 50.0 L

T1 = initial temperature of gas = 22.6oC = 22.6oC +273.15 = 295.75 K

P2 = final pressure of gas = 0.0786 atm

V2 = final volume of gas = ?

T2 = final temperature of gas = – 2.56 0C = – 2.56 0C +273.15 = 270.59 K

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