A 21 L cylinder containing helium gas at a pressure of 35.1 ATM is used to fill a weather balloon in order to lift equipment into the stratosphere. To what maximum pressure (in ATM) could a 196 L ball?

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1269940

2026-05-04 06:15

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To determine the maximum pressure in the 196 L balloon when filled with helium from the 21 L cylinder, we can use Boyle's Law, which states that P1V1 = P2V2. Here, P1 is the initial pressure (35.1 ATM) and V1 is the initial volume (21 L), while P2 is the final pressure and V2 is the final volume (196 L). Rearranging the equation gives P2 = P1V1/V2. Substituting the values: P2 = (35.1 ATM * 21 L) / 196 L, which results in a maximum pressure of approximately 3.78 ATM.

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