The solution must include the following pans: given or known, find, basic or bas
ID: 1531409 • Letter: T
Question
The solution must include the following pans: given or known, find, basic or basic relation(s), the symbolic or symbolic solution, and 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 pick 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.) Symbolic solution (Find completely expressed in terms of given): Numerical solution (show correct units):Explanation / Answer
m' = mass in air = 3.3 kg
density of aluminium = specific gravity x density of water = 2.7 x 1000 = 2700
density of air = specific gravity x density of water = 0.00129 x 1000 = 1.29
density of aluminium relative to air = 2700 - 1.29
Volume is given as
V = mass in air / relative density = 3.3 /(2700 - 1.29)
in vaccum , density of aluminium = 2700
actual mass = M = density of aluminium x V = 2700 (3.3 /(2700 - 1.29)) = 3.302 kg