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Molodets [167]
3 years ago
7

Use dimensional analysis to solve the following problems. Pay attention to correct use of units and correct use of significant f

igures in calculations. Please show work!
Convert 0.2502 grams of calcium nitrate to moles.

How many atoms are contained in 3.80 moles of magnesium?
Chemistry
2 answers:
Rudiy273 years ago
6 0

Answer:

a) 0.001525 mol Ca(NO₃)₂

b) 2.29 × 10²⁴ atoms Mg

General Formulas and Concepts:

<u>Atomic Structure</u>  

  • Reading a Periodic Table
  • Reactions rxn
  • Compounds

Explanation:

a)

Calcium (Ca) has a +2 charge on the periodic table. Polyatomic ion for nitrate (NO₃) has a -1 charge. We need to balance the compound:

Ca(NO₃)₂

To find the molar mass of calcium nitrate, we must pull data from the PT.

Ca has a molar mass of 40.08 g/mol

N has a molar mass of 14.01 g/mol

O has a molar mass of 16.00 g/mol

Add these all together and multiply respectively to find the molar mass of the compound:

40.08 + 2[14.01 + 3(16.00)] = 164.1 g/mol

To find the amount of moles we have given grams, divide the grams by the molar mass:

(0.2502 g) / (164.1 g/mol) = 0.001525 mol Ca(NO₃)₂

We are given 4 sig figs and our final answer is in 4 sig figs.

b)

We need to know Avogadro's Number - 6.022 × 10²³ atoms, molecules, formula units, etc. This converts moles into atoms, molecules, formula units, etc.

We are given 3.80 moles of Mg. To find the number of atoms, we multiply Avogadro's number:

3.80 mol Mg · (6.022 × 10²³ atoms Mg/ 1 mol Mg) = 2.28836 × 10²⁴ atoms Mg

Since we are given 3 sig figs, we must round:

2.28836 × 10²⁴ atoms Mg ≈ 2.29 × 10²⁴ atoms Mg

Aleks04 [339]3 years ago
4 0

Answer:

Solution given:

a.

we have

1 mole of calcium nitrate=164.088g

now

0.2502g of calcium nitrate=1/164.088*0.2502=

<u>0.0015248</u> mole of calcium nitrate

0.2502 grams of calcium nitrate

=<u>0.0015248moles</u>.

b.

1 mole of magnesium=6.02214076 × 10^{23}atoms

3.80 mole of magnesium=6.02214076 × 10^{23}×3.80=2.2884*10^{24}atoms

\bold{\underline{2.2884*10^{24}}}atoms

are contained in 3.80 moles of magnesium.

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