A spherical weather balloon is designed to inflate to a maximum diameter of 8.0 m at its working altitude, where the air pressure is 0.220 atm and the temperature is 182.0 K. If the balloon is filled at atmospheric pressure and temperature 282.0 K, what is its radius at lift-off? Treat the gas as an ideal gas. (Units: m)

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ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
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I calculated 5.59 (rounded to 3 significant figures) for this question however it says its wrong can you help me figure out where i went wrong. 

A spherical weather balloon is designed to inflate to a maximum diameter of
8.0 m at its working altitude, where the air pressure is 0.220 atm and the
temperature is 182.0 K. If the balloon is filled at atmospheric pressure and
temperature 282.0 K, what is its radius at lift-off? Treat the gas as an ideal gas.
(Units: m)
Transcribed Image Text:A spherical weather balloon is designed to inflate to a maximum diameter of 8.0 m at its working altitude, where the air pressure is 0.220 atm and the temperature is 182.0 K. If the balloon is filled at atmospheric pressure and temperature 282.0 K, what is its radius at lift-off? Treat the gas as an ideal gas. (Units: m)
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