Mass of an atomic layer of a baloon

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SUMMARY

The discussion focuses on calculating the mass of a single atomic layer of aluminum (Al) on a spherical balloon with a radius of 10 cm. The density of aluminum is given as 2.7 x 103 kg/m3 and its molar mass is 27 grams per mole. The initial approach involved calculating the surface area of the balloon, estimating the volume of the atomic layer, and then applying the density to find the mass. However, the method did not incorporate the molar mass, prompting a request for alternative calculation methods that utilize this parameter effectively.

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An inflated smooth toy balloon is coated with a single atomic layer of aluminium. Esitimate the mass of Al that would be required. The density of Al is 2.7 x10^3kg/m^3 and its molar mass if 27 grams for mol.


I assusmed the balloon was a sphere of radius 10cm, found surface area then mutliplied by approximate radius of an atom to find volume of the layer. Then used volume x density to find mass, but this method doesn't make use of the molar mass in the question? Any other methods you can see?
 
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Myrddin said:
I assumed the balloon was a sphere of radius 10cm, found surface area then multliplied by approximate radius of an atom to find volume of the layer. Then used volume x density to find mass, but this method doesn't make use of the molar mass in the question? Any other methods you can see?

The approximate radius of the aluminium atom follows from the molar mass and density.

ehild
 

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