Post on 02-Jan-2016
A mole of CAN $5.00 bills joined end to end would encircle the earth how many
times?
By Sydney Ginsler Viner and Anat Kabanovski
The circumference of the earth is 40 075 km.
The length of a Canadian five dollar bill is
15 cm.
A mole = 6.022 x 10^23 parts.
Thus, a mole of five dollar bills is 6.022 x 10^23 five dollar bills.
X
Let B represent the total length of the five dollar bills when joined end to end.
B = number of bills x length of bill
B = 6.022 x 10^23 x 15 cm
B = 9.033 x 10^24 cm
Length in km = 9.033 x 10^24 x
= 9.033 x 10^19 km
Therefore the total length
of the bills is 9.033 x 10^19 km.
1 km 100000 cm
Let B represent the number of times the bills can encircle the earth.
B =
B =
B = 2.254023706 x 10^15
B = 2.3 x 10^15
Therefore, a mole of five dollar bills can encircle the earth 2.3 x 10^15 times.
That’s 2 300 000 000 000 000 times around the equator!
Length of Bills Circumference
9.033 x 10^1940 075
That’s a BIG number!