A hot air balloon has a volume of 2.00 × 10³ m³ when fully inflated,and the air inside the balloon is always at atmospheric pressure of 1.01 × 10⁵ Pa because of the large opening used to fill the balloon and heat the air inside it.What is the mass of hot air inside the balloon if its temperature is 120°C? The universal gas constant is 8.314 J/mol • K.(Assume a molecular weight of 28.8 g/mol for air.) A) 1780 kg B) 5850 kg C) 203 kg D) 62.0 kg

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Quizplus · Accepted Answer

To find the mass of the hot air, use the ideal gas law: PV = nRT. Convert the temperature to Kelvin (120°C = 393 K). Solve for n (moles of air): n = PV/RT = (1.01 × 10^5 Pa)(2.00 × 10^3 m^3) / (8.314 J/mol•K)(393 K). Calculate n, then convert moles to mass using the molecular weight: mass = n × 28.8 g/mol. Convert grams to kilograms to find the mass in kg.

A Hot Air Balloon Has a Volume of 2