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Atoms, Moles, Grams conversions How do you convert these using dimensional analy

ID: 523619 • Letter: A

Question

Atoms, Moles, Grams conversions

How do you convert these using dimensional analysis. I am confused. Please show work:

(a) How many atoms are in 0.534 mol of nickel, Ni? A. 13 x 1024 atoms B. 1.48 x 1025 atoms E. 6.98 x 1021 atoms D. 3.22 x 1023 atoms How many moles are in 8.73 x 1025 atoms of boron, B? B. 3.84 x 1027 moles A. 145 moles D. 5.04 x 10-25 moles E. 6.90 x 10-3 moles (c) How many grams are present in 0.885 moles of manganese? B. 48.6 g A. 62.1 g C. 21.5 g D. 27.5 g C. 2.44 x 1022 atoms C. 1.45 moles E. 0.016 g

Explanation / Answer

a)

1 mol has 6.022*10^23 atoms

so,

number of atoms = number of mol * 6.022*10^23

= 0.534 * 6.022*10^23 atoms

= 3.22*10^23 atoms

Answer: D

b)

number of moles = number of atoms / (6.022*10^23)

= (8.73*10^25)/(6.022*10^23)

= 145 moles

Answer: A

c)

molar mass of manganese = 55 g/mol

mass = number of mol * molar mass

= 0.885 mol * 55 g/mol

= 48.6 g

Answer: B