Question

Any of you familiar with Avogadro Goes to Court- Case Study? I have to calculate the cost in dollars of a single aluminum atom in the roll of aluminum foil. The roll cost is $1.59, and the area of the roll is 6.96 square metres. And I am given approximately 20.0 cm by 20.0 cm (8 inch by 8 inch) section of the roll that I have cut out.

Answer 1

what is mass of that square 20x20 you cut out?

Answer 2

2.5838g

Answer 3

i got that price of one atom is 1,58*10^-25 $

Answer 4

how did you get that?

Answer 5

ok lets start:
you are given that 6,96 m2 has price of 1,59 $
now you have cut out 20x20 piece which has surface area of 400 cm2
and 400 cm2 = 0,04 m2
now share is:
0,04/6,96= 5,747*10^-3
and share of price is:
5,747*10^-3 * 1,59$ = 9,1379*10^-3 $
now you take mass of that 20x20 piece and calculate amount:
n=m/M
n= 2,5838g/ 26,9815 gmol-1=0,095762 mol
now lets calculate number of atoms that corresponds:
n=N/L --> N= n*L
N= 0,095762mol * 6,022*10^23 mol-1 = 5,76678*10^22
now you must calculate price of 1 atom so lets again calculate share:
1/5,76678*10^22 = 1,734*10^-23
and now lets calculate what share of price that corresponds:
1,734*10^-23 * 9,1379*10^-3 = 1,58*10^-25 $

Answer 6

how do i find the total amount of the aluminum for 8inch by 8inch then?

Answer 7

it is calculated there are 5,76678*10^22 atoms in 20x20 piece

Answer 8

oh thank you very much!!!!!

Answer 9

not a problem, glad to help