Problem: A Kongming lantern, or Chinese sky lantern, is a small hot air balloon. At room temperature (25 °C), these have a volume of roughly 6.7 liters. After the fire is lit at the bottom, assume all the gas inside reaches a final temperature of 87 °C, what is the final volume of the balloon?A. 1.9 L B. 23 L C. 8.1 L D. 5.5 L E. 150 L

FREE Expert Solution

We are asked to calculate the final volume of the gas at  87 °C.

Recall that the ideal gas law is:

$\overline{){\mathbf{PV}}{\mathbf{=}}{\mathbf{nRT}}}$

The temperature and volume of a gas are related to the number of moles, gas constant and pressureThe value nR and P is constant

Problem Details

A Kongming lantern, or Chinese sky lantern, is a small hot air balloon. At room temperature (25 °C), these have a volume of roughly 6.7 liters. After the fire is lit at the bottom, assume all the gas inside reaches a final temperature of 87 °C, what is the final volume of the balloon?

A. 1.9 L

B. 23 L

C. 8.1 L

D. 5.5 L

E. 150 L