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Imagine you are a pilot preparing a hot air balloon for an early morning flight. The morning air is chilly at 10C, and the large

Imagine you are a pilot preparing a hot air balloon for an early morning flight. The morning air is chilly at 10C, and the large nylon envelope of the balloon has a volume of 500 cubic meters. To lift off, you need the hot air inside the balloon to reach a temperature of 70C. However, your propane tank only holds enough fuel to heat the air by 20C. The Challenge: Can you use the ideal gas law to determine whether the propane in your tank is sufficient to raise the balloon's temperature enough for liftoff? If not, how much additional fuel would you need

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