ch19-p067 - × 10 3 m 3 and c = 11.9 N/m 3 This condition...

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67. In this solution we will use non-standard notation: writing ρ for weight -density (instead of mass-density), where ρ c refers to the cool air and ρ h refers to the hot air. Then the condition required by the problem is F net = F buoyant hot-air-weight balloon-weight 2.67 × 10 3 N = ρ c V h V – 2.45 × 10 3 N where V = 2.18
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Unformatted text preview: × 10 3 m 3 and c = 11.9 N/m 3 . This condition leads to h = 9.55 N/m 3 . Using the ideal gas law to write ρ h as PMg/RT where P = 101000 Pascals and M = 0.028 kg/m 3 (as suggested in the problem), we conclude that the temperature of the enclosed air should be 349 K....
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