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 560 cm $^3$ .
_______ cm $^3$ .

Answer 1

Here, there are two - States of balloon. & the initial state is at 1. +20°c & I atm.& given volume second i, at -20°C, ½ ceton - & volume is variable of interest. - - so, no. of particles in the balloon remains . constant. -= Vi = 560 m2 given. . 80 V2 = PViTa Pa Us :. V2 = (I atm) (253k) T 13 atm) (293k) "

8 V2 = 2.6 V s To = -20° c = 253 k LT, = +20°C = 293. K o Vs 2.6 (560) 8 V2 = 1456 cm²