Soru
estions A laboratory experiment requires 7.00 g of aluminum wire (d=2.70g/cm^3) 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 a cylinder is pi r^2e where r=radius and l=length. square cm
Çözüm
3.6
(284 Oylar)
Cemil
Profesyonel · 6 yıl öğretmeni
Uzman doğrulaması
Cevap
To determine the length of the aluminum wire, we need to use the formula for the volume of a cylinder:
where:-
is the volume of the cylinder,-
is the radius of the cylinder,-
is the height (or length) of the cylinder.Given:- The mass of the aluminum wire is
grams.- The density of aluminum is
grams per cubic centimeter (
).- The diameter of the wire is
inches.First, we need to convert the diameter from inches to centimeters. Since
inch is equal to
centimeters:
Next, we find the radius by dividing the diameter by 2:
Now, we can calculate the volume of the aluminum wire using the density formula:
Now that we have the volume, we can solve for the length
using the volume formula for a cylinder:
Therefore, the length of the aluminum wire to be used for this experiment is approximately
centimeters.