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A spherical balloon of radius 3 cm cont...

A spherical balloon of radius 3 cm containing helium gas has a pressure of ` 48 xx 10^(-3)` bar . At the same temperature , the pressure , of a spherical balloon of radius 12 cm containing the same amount of gas will be _______ ` xx 10^(-6)` bar

Text Solution

Verified by Experts

The correct Answer is:
750
At constant temperature and number of moles ,
`P_(1)V_(1)=P_(2)V_(2)`
`P_(1)=48 xx 10^(-3) " bar " , V_(1) = 4/3 pi(3)^(3)`
`V_(2) = 4/3 pi(12)^(3)`
`P_(2) = (P_(1)V_(1))/(V_(2))= (48 xx 10^(-3)xx(3)^(3))/((12)^(3))`
` = (48 xx 10^(-3))/(64) = 7.5 xx 10^(-4) = 750 xx 10^(-6) " bar"`
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