A balloon containing 1 mole air at 1 atm initially is filled further with air till pressure increases to 4atm. The initial diameter of the balloon is 1 m and the pressure at each stage is proportion to diameter of the balloon. How many no. of moles of air added to change the pressure from 1atm and 4 atm (ans=256)

Question

kanwal32 · Answer

@Kainui @Johnbc @aum @ganeshie8 @hartnn @Abhisar @ikram002p

kainui · Answer

I think if we systematically list out our variables to sort of lay out what we have, it will become more obvious as to what we need to look at by combining this with PV=nRT and the formula for volume of a sphere 4/3pi r^3

kanwal32 · Answer

yes

kanwal32 · Answer

@Kainui hlp

abmon98 · Answer

If pressure is proportional to diameter, the diameter 
at 4atm will be 4m. The ratio volume of sphere.
 4/3*pi(2)^3/(4/3*pi*(1/2)^3))=64 so the volume at 4 m is 64 times bigger than at 1 m
From the PV relationship 
4*64=256