You are in a hot air balloon and are hovering in the air so that the atmospheric pressure remains constant. At a temperature of 300 K your balloon holds 5x10⁶ liter of air. The sun comes out and the temperature rises to 330 K. What is the new volume of the balloon? You may assume that no air can exit or enter the balloon. A) 5x10⁶ liter B) 5.5x10⁶ liter C) 4.5x10⁶ liter D) Not enough information is given to determine.

Question

Quizplus · Accepted Answer

The volume of the gas in the balloon increases with temperature under constant pressure according to Charles's Law (V1/T1 = V2/T2). Given the initial volume (V1) is 5x10^16 liters at 300K, and the temperature increases to 330K, the new volume (V2) can be calculated as V2 = V1 * (T2/T1) = 5x10^16 * (330/300) = 5.5x10^16 liters.

You Are in a Hot Air Balloon and Are Hovering