1.

A balloon containing 1 mole air at 1 atm initially is filled further with air till pressure increases to 4 atm. The intial diameter of the ballon is 1 m and the pressure at each stage is proportional to diameter of the balloon. How many moles of air added to change the pressure from 1 atm to 4 atm.A. 80B. 257C. 255D. 256

Answer» Correct Answer - c
(c) `P prop d, p=kd and k=(1 "atm")/(1 "metre")`
`PV=nRT, kd((1)/(6)pid^(3))=nRT,`
`(d_(1)^(4))/(d_(2)^(4))=(n_(1))/(n_(2)),(1)/(4^(4))=n_(1)//n_(2),n_(2)=256`
no. of moles added=256 - 1 =255


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