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A spherical balloon is filled with air a...

A spherical balloon is filled with air at 2 atm pressure. What pressure is to exerted on the balloon from outside so that its diameter will be reduced to half of its initial diameter?

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Initial state, `2xx(4)/(3)pir^(3)=nRT:`
Final state: `Pxx(4)/(3)pi((r)/(2))^(3)=nRT` [r=radius of the balloon]
`therefore PV=nRT, Pxx(1)/(8)=2 or, P=16` atm.
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