In 1992, a Danish study concluded that a standard toy balloon, made from latex a

Question

In 1992, a Danish study concluded that a standard toy balloon, made from latex and filled with helium, could rise to 10000 m (where the pressure is 1/3 of that at sea level) in the atmosphere before bursting. In the study, a number of balloons were filled with helium, and then placed in a chamber maintained at -20°C. The pressure in the chamber was gradually reduced until the balloons exploded, and then the researchers determined the height above sea level corresponding to that pressure. Assume each balloon was filled with helium at +20°C and at about atmospheric pressure. Determine the balloon's volume just before it exploded, if its volume when it was first filled was 500 cm3.

Explanation / Answer

I hope this helps. I used this for my friend and myself. Learnt it in high school so I hope it is of help to you too!! (P1 x V1)/T1 = (P2 x V2)/T2 P1= Atm. Pressure= 10^5Pa V1= 500cm3=0.0005m3 T1=+20C=293K P2= 1/3 x sea level = 1/3 x 101,325Pa = 33775Pa V2= ? T2=-20C=253K (10^5 x 0.0005)/293 = (33775 x V2)/253 V2= 0.0012782845m3 = 1278.28cm3

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