Mass of an atomic layer of a baloon

In summary, the conversation discusses estimating the mass of aluminium needed to coat an inflated smooth toy balloon with a single atomic layer. The method used involves assuming the balloon is a sphere and finding the surface area, then using the approximate radius of an aluminium atom to find the volume of the layer, and finally calculating the mass using the density of aluminium. However, there may be other methods that make use of the molar mass of aluminium.
  • #1
Myrddin
25
0
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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  • #2
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
 

1. What is the definition of mass in relation to an atomic layer of a balloon?

The mass of an atomic layer of a balloon refers to the amount of matter contained within that layer. It is typically measured in grams or kilograms.

2. How does the mass of an atomic layer of a balloon affect its overall weight?

The mass of an atomic layer of a balloon is directly related to its weight. The more mass an atomic layer has, the heavier the balloon will be. This is because weight is a measure of the force of gravity on an object, and the more mass an object has, the stronger the force of gravity on it.

3. How is the mass of an atomic layer of a balloon measured?

The mass of an atomic layer of a balloon can be measured using a scale or balance. The balloon is placed on one side and weights are added to the other side until the two sides are balanced. The mass of the balloon can then be calculated based on the weight of the added weights.

4. Does the material of the balloon affect the mass of its atomic layer?

Yes, the material of the balloon can affect the mass of its atomic layer. Different materials have different densities, which can impact the mass of the balloon. For example, a helium balloon made of a thin plastic material will have a different mass than a latex balloon filled with the same amount of helium.

5. How does the mass of an atomic layer of a balloon change when it is filled with air or helium?

The mass of an atomic layer of a balloon will increase when it is filled with air or helium. This is because the gas molecules added to the balloon add more mass to the overall system. However, the amount of increase will vary depending on the type and amount of gas used.

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