The solution must include following parts: or known, find, basic or basic relati
ID: 1531341 • Letter: T
Question
The solution must include following parts: or known, find, basic or basic relation(s), the symbolic or symbolic solution, the numerical or numerical solution. All work, units and conversions to standard units must be shown and must be correct. Calculate the true mass (in vacuum) of a piece of aluminum (SG 2.70000) whose apparent mass is 3.30000 kg when weighed in air (SG 0.00129000). (Express your answer to six significant figures.) Given: Find: Basic relations: Symbolic solution (Find completely expressed in terms of given): Numerical solution (show correct units):Explanation / Answer
This is an application of Archimedes's Principle: A body wholly or partially immersed in a fluid will experience an upthrust or apparent loss in mass equal to the mass of fluid displaced.
You have an aluminium body, mass = 3.3000kg. Density of aluminium is quoted at 2,700.0kg/m³
The volume of the body is: 3.300/2,700.0*1000 = 1.2222 litres.
Density of air = 1.2041 g/litre
You have displaced 1.2222litres or 1.222*1.2041 = 1.471g of air
You aluminium body has experienced an apparent loss in mass of 1.471g.
The mass if determined in a vacuum would be 3,201.427g
There will be slight different values used for density of air, and aluminium, depending on what references you use.