A gas is filled in different spherical balloons in vacuum, each with n moles of an ideal gas at temperature T. Radius of a balloon is r. The stress in the walls of the balloon is

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ρ π r 2 = σ × 2 π rt σ P V p ​ = 2 t p r ​ = n RT = 3 4 ​ π r 3 n RT ​ ⇒ σ ∝ r 2 1 ​ ​

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