Question

A gas-filled balloon with a volume of 12.5 L at 0.90 atm and 21°C is allowed to rise to the stratosphere where the temperature is –5°C and the pressure is 1.0 millibar. What is the final volume of the balloon in liters?

A) 10.82 L
B) 14.27 L
C) 16.34 L
D) 18.21 L

Answer 1

The final volume of the balloon is 44.24 L.

Step-by-step explanation:

In order to find the final volume of the balloon, we can use the combined gas law equation:

P1V1/T1 = P2V2/T2

Let's plug in the given values:

0.90 atm * 12.5 L / 294 K = 1.0 millibar * V2 / 268 K

Simplifying the equation, we get:

0.013 atm * 12.5 L = V2 * 3.73E-5 atm

Dividing both sides by 3.73E-5 atm, we find that:

V2 = 0.013 atm * 12.5 L / 3.73E-5 atm

V2 = 44.24 L

Therefore, the final volume of the balloon is 44.24 L.