What is the Density of a Carbon Atom with a Concentrated Mass in its Nucleus?

In summary, the question asks for the density of a carbon atom, given its mass and the shape and size of its nucleus. The mass of the carbon atom is 2.0*10^23 grams and the radius of its nucleus is 1.5*10^5 picometers. To calculate the density, the formula d=m/v is used, where d is density, m is mass, and v is volume. The volume can be calculated using the formula for the volume of a sphere, 4/3*pi*r^3, with r being the radius of the nucleus. The final answer should be expressed in units such as kg/m3 or g/cm3.
  • #1
omni
192
1
think that all the mass of the atom are concentrate in nucleus
and the shape of the nucleus is like a ball with
radius =1.5*10^5. IF the mass of the carbon atom = 2.0*10^23.
what is the density of the carbon atom?
the volume of the planet Earth=4/3pie*r^3

i just want to say that my English is not so good so i hope u can understand my question.

thanks you all.:smile:
 
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  • #2
Welcome to Physics Forums,

From now on, use the template given for homework help problems. You have given us the problem statement, now what are some relevant equations that would apply here? Also, most importantly, show us your attempt. What have you done so far on this problem?

You have stated a mass and a volume without units, which means these numbers are meaningless. WHAT UNITS are the mass and radius in?

What is the definition of density?
 
  • #3
hi thanks for ur remark.
ok so the units is:radius =1.5*10^5pm
the mass of the carbon atom =2.0*10^23.gr

i tried to use in this formula: d=m/v
m=mass
d=density
v=volume
i did like this:d=2.0*10^23.gr/1.5*10^5pm.
and i not sure if i right.

i will be happy for any help that i can get :).
 
  • #4
Does .gr mean, "grams" or...? :confused:

Your calculation steps are right so far, but you need to
1) actually calculate the final answer, and
2) express it in some reasonable units. For example, density is often expressed in kg/m3 or g/cm3. Do you know which units you are expected to use?

EDIT: In fact you have to decide (2) before you do (1), since you need to convert the numbers into the desired units before computing the final answer.
 
  • #5
ok i will try to keep from here alone thank you really much i think i understand this question.
:smile:
 

What is the density of the carbon atom?

The density of the carbon atom is approximately 2.267 grams per cubic centimeter.

How is the density of the carbon atom calculated?

The density of an atom is calculated by dividing its mass by its volume. In the case of carbon, the mass is determined by its atomic weight and the volume is determined by its atomic radius.

Why is the density of the carbon atom important?

The density of the carbon atom is important because it is a fundamental property of the element. It helps determine the physical and chemical properties of carbon, and is essential in understanding its behavior in various environments.

Is the density of the carbon atom constant?

Yes, the density of the carbon atom is a constant value. It does not change unless there is a change in the atomic structure or the environment in which it is located.

How does the density of the carbon atom compare to other elements?

The density of the carbon atom is relatively low compared to other elements. It is lighter than elements such as iron and gold, but heavier than elements such as helium and hydrogen.

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