laboratory experiment requires 13.0g of aluminum wire (d=2.70g/cm cubed). The diameter of the wire is 0.200 in. Determine the length of the wire, in centimeters, to be used for this experiment. The volume of the cylinder is pi  times radius squared times length.

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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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A laboratory experiment requires 13.0g of aluminum wire (d=2.70g/cm cubed). The diameter of the wire is 0.200 in. Determine the length of the wire, in centimeters, to be used for this experiment. The volume of the cylinder is pi  times radius squared times length.

Expert Solution
Step 1

Given, 

Mass of aluminum wire= m= 13 g

Density of aluminum wire= d= 2.70 g/cm3

Diameter of wire= D= 0.200 in = 0.508 cm

We know the relationship between mass and density as:

Density= Mass/Volume.

Substituting known, 

2.70 g/cm= (13 g/Volume) 

Therefore Volume = 4.81 cm3

 

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