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Practice: Solve each of the following problems using dimensional analysis (or another method). Show your work. (Use a periodic table to look up the necessary atomic masses.) A. 75 g KMnO4 = molecules KMnO4 B. 7.23 × 1024 Al atoms = grams Al C. 9.23 × 1023 Au atoms = moles Au D. 125 g H3PO4 = molecules H3PO4 E. 0.75 moles CO2 = total atoms

Respuesta :

Answer:

Explanation:

A )

molecular weight of KMnO₄ =   158

75 g KMnO4 = 75 / 158 moles

= ( 75 / 158 )x 6.02 x 10²³ molecules

= 2.857 x 10²³ molecules KMnO4

so 75g KMnO₄ = 2.857 x 10²³ molecules KMnO4

B )

7.23 × 10²⁴ Al atoms = grams Al

72.3 X 10²³ Al atoms = 72.3 X 10²³ / 6.02 X 10²³ moles of Al

= 12 moles of Al

= 12 x 27 gm of Al

= 324 gm of Al .

7.23 × 10²⁴ Al atoms = 324 grams Al

C )

9.23 × 10²³ Au atoms = moles Au

9.23 × 10²³Au atoms = 9.23 × 10²³ / 6.02 x 10²³ moles of Au

= 1.53 moles of Au .

D )

125 g H₃PO₄ =   molecules H₃PO₄

125 g H₃PO₄ = 125 / 98 moles of H₃PO₄

= (125 / 98) x 6.02 x 10²³ molecules

= 7.678 x 10²³ molecules of H₃PO₄

125 g H₃PO₄ = 7.678 x 10²³  molecules H₃PO₄

E )

.75 moles of CO₂

= .75  x 6.02 x 10²³ molecules of CO₂

= 4.515 x 10²³ molecules of CO₂.

one molecule of CO₂ = 3 atoms

4.515 x 10²³ molecules of CO₂ = 3 x 4.515 x 10²³ atoms

= 13.545 x 10²³ atoms .

The molecules, atoms, and weight of all elements and compounds has been calculated.

(A) To calculate the molecules of a compound:

Molecules = [tex]\rm moles\;\times\;avagadro\;number[/tex]

Moles = [tex]\rm \frac{weight}{molecular\; weight}[/tex]

Moles of [tex]\rm KMnO_4[/tex] = [tex]\rm \frac{75}{158}[/tex]

Moles of [tex]\rm KMnO_4[/tex] = 0.474

Molecules of [tex]\rm KMnO_4[/tex] = [tex]\rm 0.474\;\times\;6.023\;\times\;10^2^3[/tex]

Molecules of [tex]\rm KMnO_4[/tex] = 2.85 [tex]\rm \times\;10^2^3[/tex]

(B) Weight of Al:

moles = [tex]\rm \frac{atoms}{avagadro\;number}[/tex]

Moles of Al = [tex]\rm \frac{7.23\;\times\;10^2^4}{6.023\;\times\;10^2^3}[/tex]

Moles of Al = 12

Weight of Al = [tex]\rm moles\;\times\;molecular\;weight[/tex]

Weight of Al = 12 [tex]\times[/tex] 27

Weight of Al = 324 grams

(C) Moles = [tex]\rm \frac{atoms}{avagadro\;number}[/tex]

Moles of Au = [tex]\rm \frac{9.23\;\times\;10^2^3}{6.023\;\times\;10^2^3}[/tex]

Moles of Au = 1.53 mol/liters

(D) Molecules = [tex]\rm moles\;\times\;avagadro\;number[/tex]

Moles = [tex]\rm \frac{weight}{molecular\; weight}[/tex]

Moles of [tex]\rm H_3PO_4[/tex] = [tex]\rm \frac{125}{98}[/tex]

Moles of [tex]\rm H_3PO_4[/tex] = 1.275

Molecules of [tex]\rm H_3PO_4[/tex] = 1.275 [tex]\rm \times\;6.023\;\times\;10^2^3[/tex]

Molecules of [tex]\rm H_3PO_4[/tex] = [tex]\rm 7.678\;\times\;10^2^3[/tex]

(E) Atoms of [tex]\rm CO_2[/tex]:

Molecules = [tex]\rm moles\;\times\;avagadro\;number[/tex]

Molecules of [tex]\rm CO_2[/tex] = 0.75 [tex]\rm \times\;6.023\;\times\;10^2^3[/tex]

Molecules of [tex]\rm CO_2[/tex] = 4.515 [tex]\rm \times\;10^2^3[/tex]

1 molecule of [tex]\rm CO_2[/tex] = 3 atoms

4.515 [tex]\rm \times\;10^2^3[/tex] molecules = [tex]\rm 4.515\;\times\;10^2^3\;\times\;3[/tex]

Atoms of [tex]\rm CO_2[/tex] = 13.545 [tex]\rm \times\;6.023\;\times\;10^2^3[/tex]

For more information about the dimensional analysis conversion, refer the link:

https://brainly.com/question/13156854?referrer=searchResults