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Assuming oxygen molecule to be spherical in shape, calculate the volume of a single molecule of oxygen if its radius is 150 pm. Also calculate the percentage of empty space in one mole of the gas at STP. |
Answer» As oxygen molecule is spherical, therefore, volume of one molecule `=(4)/(3)pir^(3)=(4)/(3)xx(22)/(7)(150xx10^(-10)cm)^(3)=1.41xx10^(-23) cm^(3)` To calculate the empty space in 1 mole of `O_(2)` molecules, let us first calculate the volume occupied by 1 mole of molecules, i.e., `(6.0 22xx10^(23))xx(1.41xx10^(-23)cm^(23)) ` molecules, This will be `=(6.022xx10^(23))xx(1.41xx10^(-23)cm^(3))=8.49" cm"^(3)`. But volume occupied by 1 mole of molecules at S.T.P.`=22400" cm"^(3)` `:. " "` Empty space=22400-8.49`" cm"^(3)=22391.51" cm"^(3)` `:. ` % age of empty space `=(22391.51)/(22400)xx100=99.9%` |
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