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aev [14]
3 years ago
15

How many grams of Al2O3are present in 7.1 x 10^22 molecules of Al2O3?

Chemistry
1 answer:
Alexus [3.1K]3 years ago
5 0

Answer:

13.4g

Explanation:

we know that:

1 mole = 6.02 × 10²³ atoms

make the unknown number of moles = x

x = 7.1 × 10²² atoms

putting them both together:

1 mole = 6.02 × 10²³ atoms

x = 7.1 × 10²² atoms

Cross multiply:

6.02 × 10²³ x = 7.1 × 10²²

divide both sides by 6.02 × 10²³

x =  \frac{7.1  \times  10²² }{  6.02 × 10²³}

x =  \frac{71}{602}

we now have the number of moles of Al₂CO₃

to calculate the grams (mass):

moles =  \frac{mass}{relative \: formula \: mass}

mass = moles \:  \times  \: relative \: formula \: mass

add up all of the atomic masses of Al₂CO₃ to calculate relative formula mass:

(27 × 2) + 12 + (16 × 3) = 114

the grams (mass) of Al₂CO₃:

\frac{71}{602}  \times 114 = 13.4g

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A slice of pizza has 500 kcal. If we could burn the pizza and use all the heat to warm a 50-L container of cold water, what woul
gayaneshka [121]

Answer:

10°C  

Explanation:

Heat gain by water = Heat lost by the slice of pizza

Thus,    

m_{water}\times C_{water}\times \Delta T=Q

<u>For water:  </u>

Volume = 50.0 L

Density of water= 1 kg/L  

So, mass of the water:  

Mass\ of\ water=Density \times {Volume\ of\ water}  

Mass\ of\ water=1 kg/L \times {50.0\ L}  

Mass of water  = 50 kg

Specific heat of water = 1 kcal/kg°C  

ΔT = ?

For slice of pizza:  

Q = 500 kcal

So,

50\times 1\times \Delta T=500  

ΔT = 10°C  

Increase in temperature = 10°C  

3 0
3 years ago
Fill in the blank with the correct answer. The longer the handle the __________ the mechanical advantage and the greater the inc
ASHA 777 [7]

Answer:

Greater

Explanation:

The longer the handle, the greater the mechanical advantage and the greater the increase in force that is applied to the bolt.

Mechanical advantage is the rate at which force is multiplied.

  • It simply compares the output force to the input force.
  • M.A is the force increasing tendency of a tool.
  • The longer  the handle, the more the mechanical advantage and the lesser the applied force.
7 0
3 years ago
What is the difference in mass between 3.01×10^24 atoms of gold and a gold bar with the dimensions 6.00 cm X 4.25 cm X 2.00 cm
Zanzabum

Answer:

The difference in mass between 3.01×10^24 atoms of gold and a gold bar with the dimensions 6.00 cm X 4.25 cm X 2.00 cm is :

<u>Difference</u>  <u>in mass</u> =<u> 985.32 - 984.5 = 0.82 g</u>

Explanation:

<u>Part I :</u>

n =\frac{3.01\times 10^{24}}{6.022\times 10^{23}}

n = 4.9983

n = 4.99 moles

(Note : You can also take n = 5 mole )

Molar mass of gold = 196.96 g/mole

This means, 1 mole of gold(Au) contain = 196.96 grams

So, 4.99 moles of gold contain = 5\times 196.96 g

4.99 moles of gold contain = 984.8 g

Mass of {3.01\times 10^{24}} atoms of gold = 984.5 g

<u>Part II :</u>

Density of Gold = 19.32 g/cm^{3}

Volume of the cuboid = length\times breadth\times height

Volume of the gold bar =6.00\times 4.25\times 2.00

Volume of the gold bar = 51cm^{3}

Using formula,

Density = \frac{mass}{Volume}

Mass = Density\times Volume

Mass = 19.32 \times 51

Mass = 985.32 g

So, A  gold bar with the dimensions 6.00 cm X 4.25 cm X 2.00 cm has mass of <u>985.32 g</u>

<u>Difference</u>  <u>in mass</u> =<u> 985.32 - 984.5 = 0.82 g</u>

3 0
3 years ago
Can someone help me with this I've been stuck on it for a few days​
Fiesta28 [93]
So I haven’t got time to answer all of it for you but the id you look at the picture of the periodic table I’ve added the top number in the red boxes are the groups and the period is how many elements down from the top it is (remember that the hydrogen and helium make up period ONE) so remember to include them when counting the elements as you go down the table

5 0
2 years ago
Hydrochloric acid reacts faster with powdered zinc than with an equal mass of zinc strips because the greater the surface area o
inysia [295]

Answer:

increases the frequency of particle collisions

Explanation:

One factor upon which the rate of reaction depends is the surface area of reactants.

According to the collision theory, reactions occur when reactant particles having the required (activation) energy collide with each other, this collision is inelastic. However, collision of particles having energies less than the activation energy results in elastic collisions and no chemical reaction.

The more the exposed surface area of reactants, the greater the number of particles that come into contact with each other and the more the chances of frequent effective collisions that lead to reaction.

Thus, powdered zinc reacts faster with hydrochloric acid than zinc strips

7 0
3 years ago
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