A perfectly expandable balloon filled with helium gas at 27°C and a pressure of 720 mm of Hg has a volume of 100 l. The balloon rises to an altitude where the pressure is 420 mm of Hg and the temperat

Question

A perfectly expandable balloon filled with helium gas at 27°C and a pressure of 720 mm of Hg has a volume of 100 l. The balloon rises to an altitude where the pressure is 420 mm of Hg and the temperature -53°C. What is the change in the volume of the balloon? [1]

Prashant Kotian · Accepted Answer

Correct answer: B. Using the combined gas law: P1*V1/T1 = P2*V2/T2. Given: P1 = 720 mm Hg, V1 = 100 l, T1 = 300 K, P2 = 420 mm Hg, T2 = 220 K. Substituting these values: V2 = 100 * (720/420) * (220/300) = 125.7 l. The change in volume is V2 - V1 = 125.7 - 100 = 25.7 l. [1]

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