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Q.

A spherical balloon of radius 3cm containing helium gas has a pressure of 48×10−3 bar. At the same temperature, the pressure, of a spherical balloon of radius 12cm containing the same amount of gas will be __________×10−6bar.

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answer is 750.

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Detailed Solution

P1V1=P2V2⇒48×10−3×13=P2×r23∵V=43πr3⇒P=48×10−3×3123 =0.75×10−3=750×10−6bar

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A spherical balloon of radius 3cm containing helium gas has a pressure of 48×10−3 bar. At the same temperature, the pressure, of a spherical balloon of radius 12cm containing the same amount of gas will be __________×10−6bar.