Answered: Let’s look at a more realistic hot air…

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter4: The Second Law Of Thermodynamics

Section: Chapter Questions

Problem 92CP: Two moles of nitrogen gas, with =7/5 for ideal diatomic gases, occupies a volume of 102 m3 in an...

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Let’s look at a more realistic hot air Say the air inside the balloon is always 10 K warmer than the outside. The pressure inside the balloon is always 1000 Pa greater than outside. The balloon (not counting the air inside) has a mass of 100 kg (consider the volume of this 100 kg to be negligible compared to the total volume) and a total volume of 1000 cubic meters. The surrounding atmosphere is adiabatic, and has a ground temperature of 300 K. How high will the balloon go?

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Can someone please check the calculations on this for

ρ = m/V_air = nM/V_air = (P/RT)M

ρ = (102325)/(287310)(0.029)

I'm getting 12.2809 etc.

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