Question

A particular balloon is designed by its manufacturer to be inflated to a volume of not more than 2.5 liters. If the balloon is filled with 2.0 liters of helium at sea level (101.3 kPa), and rises to an altitude at which the boiling temperature of water is only 88 degrees Celsius, explain whether or not the balloon will burst?

Answer 1

Explanation:

A particular balloon is designed by its manufacturer to be inflated to a volume of no more than 2.5 L. If the balloon is filled with 2.0 L helium at sea level, is released, and rises to an altitude at which the atmospheric pressure is only 500

Answer 2

The balloon will  burst in $x=2.27 L$.

Explanation:

The boiling point of water is  $100^{0}C$.so,

The ratio and proportion to estimate the pressure for water to  boil at $88^{0}C$

$100^{0}C$ is to $101.3 kp_{a}$ as $88^{0}C$ is to $x$

$x=89.144 kp_{a}$

We can solve the problem using Boyle's law:

$P_{1}V_{1}=P_{2}V_{2}$

$(101.3)(2.0)=(88.144)(X)\\X=2.27L$

The balloon will not burst.