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Question

# A balloon is filled with hydrogen at room temperature. It will burst if the pressure exceeds 0.2 bar. If at 1 bar pressure the gas occupies 2.27 L volume. Up to what volume can the balloon be expanded?

A

9.35 L

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B

10.35 L

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C

11.35 L

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D

0.454 L

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Solution

## The correct option is C 11.35 L Pressure P1 = 1 bar, Volume V1 = 2.27 L Pressure P2 = 0.2 bar, Volume V2 = To be calculated As temperature remains constant at room temperature, applying Boyle’s Law, P1V1=P2V2 (1 bar)(2.27 L) = (0.2 bar) (V2) V2 = 2.270.2 = 11.35 L Thus, the balloon can be expanded upto 11.35 L. Beyond this volume it will burst.

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