The Ideal Gas Law Derivations Video Lessons

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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:


PV=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


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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

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