Energy Change Nuclear Chemistry

In summary, the energy change, delta E, in J when 500 g of 229/90 Th undergoes the nuclear reaction 229/90 Th --> 225/88 Ra + 4/2 He is -1.09*10^12 J. This is calculated using the equation delta E = deltam(c)^2, where c = 3*10^8 and 1 g = 6.02*10^23, and incorporating the mass of 2.183 mol of Th and the mass defect of -4.
  • #1
NY152
25
0

Homework Statement


Determine the energy change, delta E, in J when 500 g of 229/90 Th undergoes the following nuclear reaction:
229/90 Th --> 225/88 Ra + 4/2 He
The nuclear masses in amu or g/mol are: Th-229: 229.03175; Ra-225: 225.02360; He-4: 4.00260

Homework Equations


delta E = deltam(c)^2
c= 3*10^8
1 g= 6.02*10^23

The Attempt at a Solution


I know how to do a problem like this without a different mass input, but I have no idea how to incorporate the 500 grams into the solution. The answer is -1.09*10^12 J
 
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  • #2
NY152 said:

Homework Statement


Determine the energy change, delta E, in J when 500 g of 229/90 Th undergoes the following nuclear reaction:
229/90 Th --> 225/88 Ra + 4/2 He
The nuclear masses in amu or g/mol are: Th-229: 229.03175; Ra-225: 225.02360; He-4: 4.00260

Homework Equations


delta E = deltam(c)^2
c= 3*10^8
1 g= 6.02*10^23

The Attempt at a Solution


I know how to do a problem like this without a different mass input, but I have no idea how to incorporate the 500 grams into the solution. The answer is -1.09*10^12 J
Step at a time: how many mol?
 
  • #3
Bystander said:
Step at a time: how many mol?
Would you do 500 g Th * 1 mol Th/229.03175 g Th = 2.183 mol Th
 
  • #4
Yes. Can you take it the rest of the way?
 
  • #5
Bystander said:
Yes. Can you take it the rest of the way?
Well I don't really know what to do with that number now. How do I incorporate it into the change in mass?
 
  • #6
NY152 said:
g/mol are: Th-229: 229.03175; Ra-225: 225.02360; He-4: 4.00260
229 = 225 + 4; what is the mass defect?
 
  • #7
Bystander said:
229 = 225 + 4; what is the mass defect?
The mass defect would be around -4, but so then how do you incorporate the 2.183 mol of Th??
 
  • #8
NY152 said:
The mass defect would be around -4
"WORNG!" Try again, please.
 

1. How does nuclear chemistry relate to energy change?

Nuclear chemistry is the study of the chemical and physical changes that occur within the nucleus of an atom. These changes often result in the release or absorption of energy in the form of radiation. This energy can then be harnessed and used to produce electricity, making nuclear chemistry a key factor in energy production and change.

2. What is the process of nuclear energy production?

Nuclear energy is produced through a process called nuclear fission, in which the nucleus of an atom is split into smaller fragments. This process releases a large amount of energy, which is then captured and converted into electricity. The fuel used in this process is typically uranium, which undergoes a series of nuclear reactions to produce the desired energy output.

3. What are the advantages of using nuclear energy?

Nuclear energy has several advantages, including its ability to produce large amounts of energy with relatively low carbon emissions. It is also a reliable and consistent source of energy, as nuclear power plants can operate for extended periods of time without interruption. Additionally, nuclear energy does not rely on finite resources like fossil fuels, making it a more sustainable option for meeting energy demands.

4. What are the potential risks associated with nuclear energy?

While nuclear energy has many benefits, it also carries some potential risks. The main concern is the possibility of a nuclear accident, which could result in the release of harmful radiation. Proper safety measures and regulations are in place to prevent such accidents, but they still pose a potential risk. Additionally, the disposal of nuclear waste can also be a challenge, as it remains radioactive for thousands of years.

5. How does nuclear chemistry impact our daily lives?

Nuclear chemistry plays a significant role in our daily lives, as it is used in various industries such as medicine, agriculture, and energy production. Nuclear medicine uses radioactive materials to diagnose and treat diseases, while nuclear techniques are used in agriculture to improve crop yields. Additionally, nuclear energy provides a significant portion of the world's electricity, making it an integral part of our daily lives.

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