Converting binding energy of an element to joules

In summary, to convert the binding energy of an element in megaelectron volts to joules, you can use the conversion factor of 1 megaelectron volt = 1.60217646 × 10-13 joules. In the case of Mg-24 with a binding energy of 198MeV, the value in joules would be 3.17E-11 joules, rounded to three significant figures. However, some software may require you to enter just the numerical value without the unit, so it is important to check the instructions carefully.
  • #1
Hannah1
47
0
Converting binding energy of an element to joules!

The binding energy of Mg-24 is 198MeV. What is this value in Joules? Write your answer correct to three significant figures.


MeV = megaelectron volt
1 megaelectron volt = 1.60217646 × 10-13 joules
198 megaelectron volts = 3.17230939 × 10^-11 joules



198 megaelectron volts = 3.17230939 × 10^-11 joules
So, the answer should be 3.17E-11. Correct?

I got the answer wrong on the homework... Could it be because I didn't add the unit to the end of the answer?
Or am I just completely wrong?
 
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  • #2


Hannah1 said:
The binding energy of Mg-24 is 198MeV. What is this value in Joules? Write your answer correct to three significant figures.


MeV = megaelectron volt
1 megaelectron volt = 1.60217646 × 10-13 joules
198 megaelectron volts = 3.17230939 × 10^-11 joules



198 megaelectron volts = 3.17230939 × 10^-11 joules
So, the answer should be 3.17E-11. Correct?

I got the answer wrong on the homework... Could it be because I didn't add the unit to the end of the answer?
Or am I just completely wrong?

The number is correct. But, yeah, an answer in physics without correct units on it is wrong.
 
  • #3


Dick said:
The number is correct. But, yeah, an answer in physics without correct units on it is wrong.

I added "Joules" to the end of the answer and submitted the homework again, but I still got the answer wrong. :frown:

Here are the steps I took to get my answer:

  1. I Googled "198 MeV to joules," and Google's built-in calculator gave me "198 megaelectron volts = 3.17230939 × 10-11 joules" as the result.
  2. Next, I simplified the number to three significant figures and got "3.17E-11".
  3. Finally, I added Joules to the end of my answer, and submitted "3.17E-11 Joules" as my answer.

Is there another way to solve this problem?
What did I do wrong?
 
  • #4


Hannah1 said:
[*]Next, I simplified the number to three significant figures and got "3.17E-11".
[*]Finally, I added Joules to the end of my answer, and submitted "3.17E-11 Joules" as my answer.
[/LIST]
Since it asked for the answer in Joules, it should be expecting just a number. But from another post of yours, it looks like the software is poorly written. Try just "J".
 
  • #5


Your answer is correct, but adding the unit at the end would make it more clear and easier to understand. It is important to always include units in your answer, especially in scientific calculations, to avoid confusion and ensure accuracy. So, the complete answer would be 3.17E-11 joules. It is possible that not including the unit may have resulted in points being deducted on your homework. It is always a good practice to double check your work and make sure all units are included.
 

Related to Converting binding energy of an element to joules

1. What is binding energy and how is it related to an element?

Binding energy refers to the amount of energy required to break apart an atomic nucleus into its individual protons and neutrons. It is related to an element because it is a measure of the stability of the nucleus, which is determined by the number of protons and neutrons in the element.

2. How is binding energy measured and expressed?

Binding energy is measured in units of energy, such as joules or electron volts (eV). It is typically expressed as the total amount of energy required to break apart a specific number of nuclei, such as one mole (Avogadro's number) of nuclei, in a given element.

3. What is the significance of converting binding energy to joules?

Converting binding energy to joules allows scientists to compare the stability of different elements and isotopes. It also helps in understanding nuclear reactions and the processes involved in nuclear power generation.

4. Can binding energy be converted to other units of energy?

Yes, binding energy can be converted to other units of energy, such as calories or kilowatt-hours. However, joules are the most commonly used unit in scientific calculations.

5. How does the binding energy of an element affect its properties?

The binding energy of an element is directly related to its stability. Elements with higher binding energies tend to be more stable and less likely to undergo nuclear reactions. This stability also affects the properties of the element, such as its density, melting point, and reactivity.

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