Question

How many moles of gold are there in 4.54 x 10^22 atoms of gold

Answer 1

4.50

×

10

22

gold atoms

6.022

×

10

23

gold atoms per mole

×

196.97

⋅

g

⋅

m

o

l

−

1

=

?

?

g

Step-by-step explanation:

One mole of gold has a mass of

196.97

⋅

g

⋅

m

o

l

−

1

. By definition there are

Avogadro's number

of gold atoms that constitute this mass, i.e.

N

A

=

6.022

×

10

23

.

So we take the quotient to get an answer in moles, and mulitply this by the molar mass to get the mass:

4.50

×

10

22

gold atoms

6.022

×

10

23

gold atoms per mole

×

196.97

⋅

g

⋅

m

o

l

−

1

=

?

?

Answer 2

0.075moles

Step-by-step explanation:

1 gold gives 6.022×10^23atoms

X gold gives 4.54×10^22 atoms

Cross multiply

6.022×10^x=4.54×10^22

Divide both sides by 6.022×10^23

X=0.075 moles