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nekit [7.7K]
3 years ago
10

Show your work and include answer with units. How many atoms in 55 grams of magnesium

Chemistry
1 answer:
Georgia [21]3 years ago
8 0

Answer:

1.38 x 10^{24} atoms

Explanation:

To get grams to atoms/molecules/particles we need to first convert grams > moles > atoms. This also applies in the other direction, where you have moles as that stepping stone.

Some key information we need:

Magnesium's molar mass= 24g/mol

Avogadro's Number= 6.022 x 10^{23} atoms

Where there is 1 mol per 6.022 x 10^{23}  atoms

*This maybe be something you want to memorize.

Grams to moles using molar mass , then to atoms using avogadro's number.

55g Mg x \frac{1 mol}{24g/mol} x \frac{6.022 x 10^{23} atoms }{1 mol} = 1.38 x 10^{24} atoms

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Boron has an average mass of 10.81. One isotope of boron has a mass of 10.012938 and a relative abundance of 19.80 percent. The
Andrej [43]

The average mass of an atom is calculated with the formula:

average mass = abundance of isotope (1) × mass of isotope (1) + abundance of isotope (2) × mass of isotope (2) + ...  an so on

For the boron we have two isotopes, so the formula will become:

average mass of boron = abundance of isotope (1) × mass of isotope (1) + abundance of isotope (2) × mass of isotope (2)

We plug in the values:

10.81 = 0.1980 × 10.012938  + 0.8020 × mass of isotope (2)

10.81 = 1.98 + 0.8020 × mass of isotope (2)

10.81 - 1.98 = 0.8020 × mass of isotope (2)

8.83 = 0.8020 × mass of isotope (2)

mass of isotope (2) = 8.83 / 0.8020

mass of isotope (2) = 11.009975

mass of isotope (1) = 10.012938 (given by the question)

5 0
3 years ago
2. Calculate the mass of 3.47x1023 gold atoms.
lapo4ka [179]

3.47 x 10^{23} atoms of gold have mass of 113.44 grams.

Explanation:

Data given:

number of atoms of gold = 3.47 x 10^{23}

mass of the gold in given number of atoms = ?

atomic mass of gold =196.96 grams/mole

Avagadro's number = 6.022 X 10^{23}

from the relation,

1 mole of element contains 6.022 x 10^{23} atoms.

so no of moles of gold given = \frac{3.47 X 10^{23}  }{6.022 X 10^{23} }

0.57 moles of gold.

from the relation:

number of moles = \frac{mass}{atomic mass of 1 mole}

rearranging the equation,

mass = number of moles x atomic mass

mass = 0.57 x 196.96

mass = 113.44 grams

thus, 3.47 x 10^{23} atoms of gold have mass of 113.44 grams

3 0
3 years ago
If an object has an acceleration of 9.8 m/s and a force of 58.8N what is the mass of an object ? What could the object be
Makovka662 [10]

Answer:

The mass of an object  is 0.6122 Kg

Explanation:

Given:

Acceleration  = 9.8 m/s

Force  = 58.8 N

To Find:

Mass of an object = ?

Solution:

We know that according to newtons 2nd law

Force is the product of the mass and acceleration

F= ma

where

F = Force

m = mass

a =  Acceleration

Substituting the values,

58.8 = m X  9.8

m= \frac{58.8}{9.8}

m = 0.6122 kg

7 0
3 years ago
What are the names of the compound (with roman numeral)? Na2SO4
sergiy2304 [10]

Answer:

Sodium sulphate

Or sodium (I) sulphate

Explanation:

7 0
3 years ago
What is the difference between a homogenous and a heterogeneous?
kobusy [5.1K]

Answer:

Explanation:

A homogeneous mixture consists of one single phase while a heterogeneous mixture consists of two or more phases.

5 0
3 years ago
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