1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Marina86 [1]
2 years ago
12

A very simple assumption for the specific heat of a crystalline solid is that each vibrational mode of the solid acts independen

tly and is fully excited and thus cv=3NAkB=24.9 kJ/(kmol⋅K). This is called the law of Dulong and Petit. Calculate the Debye specific heat (in units of kJ/(kmol⋅K) of diamond at room temperature, 298 K. Use a Debye temperature of 2219 K.​
Chemistry
1 answer:
MatroZZZ [7]2 years ago
7 0

Answer:

4.7 kJ/kmol-K

Explanation:

Using the Debye model the specific heat capacity in kJ/kmol-K

c = 12π⁴Nk(T/θ)³/5

where N = avogadro's number = 6.02 × 10²³ mol⁻¹, k = 1.38 × 10⁻²³ JK⁻¹, T = room temperature = 298 K and θ = Debye temperature = 2219 K  

Substituting these values into c we have

c = 12π⁴Nk(T/θ)³/5  

= 12π⁴(6.02 × 10²³ mol⁻¹)(1.38 × 10⁻²³ JK⁻¹)(298 K/2219 K)³/5

= 9710.83(298 K/2219 K)³/5

= 1942.17(0.1343)³

= 4.704 J/mol-K

= 4.704 × 10⁻³ kJ/10⁻³ kmol-K

= 4.704 kJ/kmol-K

≅ 4.7 kJ/kmol-K

So, the specific heat of diamond in kJ/kmol-K is 4.7 kJ/kmol-K

You might be interested in
Deuterium is an isotope of hydrogen. the nucleus of a deuterium atom consists of one proton and one neutron. when 2 deuterium nu
ozzi
D + D → ³He + n + E

or
²H + ²H → ³He + n + E

D=²H
3 0
3 years ago
In ionic bonding an arrow is often drawn on the diagram. What does
alexandr1967 [171]

In ionic bonding, an arrow is often drawn on the diagram to show the direction the electrons move to form the ions.

4 0
3 years ago
5. A filled balloon has a volume of 5.6 L at 25 ˚C and it is placed into liquid nitrogen at a temperature of -78 ˚C. What is the
Yuri [45]
The answer -103, hope this helps
6 0
3 years ago
How does the kinetic energy of solids liquids and gases compare?
maksim [4K]
<h2> <em>QUESTION</em><em>:</em><em> </em><em>how does the kinetic energy of solids liquids and gases compare?</em></h2>

<h2> ANSWER:</h2><h3><em>Gases have the high kinetic energy because its particles are far apart from each other and have negligible fprce of attraction whereas liquids have high force of attraction as compared to gases so they have less kinetic energy then gases,and Solids have high force of attraction between its particles because of that its molecules are closely packed ,so solids do not have kinetic </em><em>energy.</em></h3><h2><em>HOPE</em><em> </em><em>IT </em><em>HELPS </em><em>YOU</em></h2>
4 0
2 years ago
The amount of which subatomic particle is different between an atom and its ion?
11111nata11111 [884]
There are three subatomic particles known: (1) electron which is found outside the nucleus of an atom and (2 and 3) protons and neutrons which are both inside the nucleus. As they are outside the nucleus, it is easier to transport electron than any other subatomic particle. Thus, atom and its ion differ in the number of electrons. 
7 0
3 years ago
Other questions:
  • Which statements describe a closed circuit? Check all that apply.
    9·2 answers
  • A sample of seawater contains 1.3 g of calcium ions in 3,100 kg of solution. what is the calcium ion concentration of this solut
    5·1 answer
  • A 45 gram piece of metal has a volume of 18cm3. What is the density of this metal?
    10·1 answer
  • how do covalent bonds form between atoms?why is it that diatomic molecules always form nonpolar covalent bonds?
    6·1 answer
  • Patients give doctors information inside the protection of confidentiality agreements. Should the doctor refer the patient to a
    7·1 answer
  • The mass of solute per 100 mL of solution is abbreviated as (m/v). Mass is not technically the same thing as weight, but the abb
    5·1 answer
  • N2(g) + 3H2(g) -&gt; 2NH 3(g)
    10·1 answer
  • Propionic acid (CH3CH-COOH) has a K, 1.3 x 10^-5 and phosphoric acid (H3PO2) has a Ka = 7.5 x 10^-3
    7·1 answer
  • If a substance has a high hydronium concentration, the substance has a ____ pH.
    15·1 answer
  • How does changing the initial temperature of the copper affect how much heat energy it has?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!