A solid cube of aluminum (density 2.70 g/cm3) has a volume of

0.200 cm3. It is known that 27.0 g of aluminum contains 6.02 x

1023 atoms. How many aluminum atoms are contained in the

cube?

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__(0.540 g)(6.02 1023 atoms) 27.0 g 1.20 1022 atoms__

Because density equals mass per unit volume, the mass of the cube is m V (2.70 g/cm3)(0.200 cm3) 0.540 g write this relationship twice, once for the actual sample of aluminum in the problem and once for a 27.0-g sample, and then we divide the first equation by the second: m sample m 27.0 g kN sample kN27.0 g**m sample m 27.0 gNsample N27.0 g**

To solve this problem, we will set up a ratio based on the fact that the mass of a sample of material is proportional to the number of atoms contained in the sample. This technique of solving by ratios is very powerful and should be studied and understood so that it can be applied in future problem solving. Let us express our proportionality as m kN, where m is the mass of the sample, N is the number of atoms in the sample, and k is an unknown proportionality constant. We

Notice that the unknown proportionality constant k cancels, so we do not need to know its value. We now substitute the values: 0.540 g 27.0 g Nsample 6.02 N sample 1023 atoms

Posted on Jan 21, 2009

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Posted on Jan 02, 2017

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There are probably several ways to solve this, but I like setting them up in ratios.

weight (g) 2.7 54

------------------- = ------ = -----

volume(cm^3) 1 x

Multiplying both sides by x, we get 2.7 x = 54

Dividing both side by 2.7, we get x = 54/2.7

x = 20

Therefore, it is 20 centimetre cubed.

Good luck,

Paul

weight (g) 2.7 54

------------------- = ------ = -----

volume(cm^3) 1 x

Multiplying both sides by x, we get 2.7 x = 54

Dividing both side by 2.7, we get x = 54/2.7

x = 20

Therefore, it is 20 centimetre cubed.

Good luck,

Paul

Feb 20, 2018 | Homework

Sounds like a trick question. A "cc" is a cubic centimeter. "cm3" is technically the same thing. So if the mass is 1g/cc, then the mass of the volume is 20g.

Mar 05, 2015 | Office Equipment & Supplies

Try taking off a side or back panel and see if there is frost building up. If frost is present, it could be low on refrigerant.

If there is condensation, it could be the insulation is saturated with water allowing thermal transfer to condense water out of the air.

If there is condensation, it could be the insulation is saturated with water allowing thermal transfer to condense water out of the air.

Feb 06, 2015 | Scotsman Ice Maker CM3 30inW Cubed Ice...

The difference is 7.59 - 6.7 = 0.89 in the low or minus direction.

Taking the correct value as the basis, the error is

0.89 / 7.59 x 100 = 11.73% low

This may be quoted as - 11.73% of true value

Taking the correct value as the basis, the error is

0.89 / 7.59 x 100 = 11.73% low

This may be quoted as - 11.73% of true value

Sep 05, 2014 | Office Equipment & Supplies

should you have any questions, Thanks John Tripp Appliance 911

First let's look through the different service manuals. CM3 Water level sense diagnosticsDOWNLOAD

Head Pressure Control Kit - CM3DOWNLOAD

Reduce Air in CM3 ModelsDOWNLOAD

Replacement of the CM3 controllerDOWNLOAD

Service Handbook to 2007 - CM/CM3DOWNLOAD . I am here should you have any questions, Thanks John Tripp Appliance 911

First let's look through the different service manuals. CM3 Water level sense diagnosticsDOWNLOAD

Head Pressure Control Kit - CM3DOWNLOAD

Reduce Air in CM3 ModelsDOWNLOAD

Replacement of the CM3 controllerDOWNLOAD

Service Handbook to 2007 - CM/CM3DOWNLOAD . I am here should you have any questions, Thanks John Tripp Appliance 911

May 15, 2014 | Scotsman Ice Maker CM3 30inW Cubed Ice...

Assuming the density is 2.7g per cm^3, the mass of 1000cm^3 of aluminum is 2700g.

Apr 30, 2014 | Office Equipment & Supplies

4 cm3. ....

Sep 01, 2013 | Mathsoft Computers & Internet

The gram (g) is a measure of mass (or quantity of substance). The mL is a unit of capacity (volume). What links them together is a physical characteristics called volumic mass or specific density (gravity).

That property depends on the substance. Some solid sunstances (aluminum) are light , others are very heavy (lead, mercury).

The reference density is that of water, which is taken to be 1.

Because of this a lot of people confuse the mass and the capacity, that is why we see questions like the one you just asked.

**It has meaning only if you are talking about liquid water at a temperature of about 4 degrees Celsius. At that temperature 1 gram of liquid water ocupies a volume of 1 mL or 1 cm^3. Thus, 135 g of water occupies a volume of 135 cm^3, or 135 mL. **

That property depends on the substance. Some solid sunstances (aluminum) are light , others are very heavy (lead, mercury).

The reference density is that of water, which is taken to be 1.

Because of this a lot of people confuse the mass and the capacity, that is why we see questions like the one you just asked.

Mar 02, 2012 | Office Equipment & Supplies

1 Look up the formula for the aluminum acetate.

2 Count the number of Hydrogen atoms per molecule: Call that nH.

3 Dividing 2.24*10^22 by nH you get the number of molecules of acetate.

4. Divide that number by Avogadro's Number to obtain the number of moles required.

5. Multiply the number of moles by the molecular mass of the aluminum acetate (look it up or use the periodic table to calculate it), you will get the mass of aluminum acetate that contains 2.24*10^22 hydrogen atoms.

2 Count the number of Hydrogen atoms per molecule: Call that nH.

3 Dividing 2.24*10^22 by nH you get the number of molecules of acetate.

4. Divide that number by Avogadro's Number to obtain the number of moles required.

5. Multiply the number of moles by the molecular mass of the aluminum acetate (look it up or use the periodic table to calculate it), you will get the mass of aluminum acetate that contains 2.24*10^22 hydrogen atoms.

Sep 14, 2011 | Texas Instruments TI-84 Plus Calculator

let's look at **volume.** Consider a volume of a cube that is x on
a side. The volume of the cube is X x Xx X = X3 (with the appropriate
units - meters3 or km3 or cm3 (if you cannot
handle metric))

Mar 30, 2011 | Computers & Internet

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