Calc. the MM from decay and half life

In summary, the conversation discusses how to determine molar mass when given the half life, decay rate, and mass of a substance. Gokul poses a question about the data needed to solve the problem, and the other person suggests posting the exact question for clarification. Finally, Gokul shares that there is enough data to solve the question if the decay is defined as counts per minute.
  • #1
shoopa
5
0
howdy,
how can one determine molar mass when the half life and dacay rate (d/min) and mass of matter are known? I am really puzzled. thanks for the help.
 
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  • #2
Please post the exact question and your thoughts. As of now, there's insufficient data.
 
  • #3
Gokul: if the decay is defined as counts/minute there is enough data to solve the question :smile:

Calculate number of atoms in the sample that shows known number of decays per minute. You know the number of atoms, you know number of moles. Ready.
 
  • #4
howdy,
how can one determine molar mass when the half life and dacay rate (d/min) and mass of matter are known? I am really puzzled. thanks for the help.

It would be appropriate to post the exact form of the question.
 
  • #5
Borek said:
Gokul: if the decay is defined as counts/minute there is enough data to solve the question :smile:
True (if the decay rate and mass are the "initial decay rate" and the "initial mass").
 

1. What is radioactive decay and half life?

Radioactive decay is the process by which a unstable atom releases energy and particles to become more stable. Half life is the amount of time it takes for half of the original amount of a radioactive substance to decay.

2. How do you calculate the molecular mass from decay and half life?

The molecular mass can be calculated using the equation: MM = (0.693 x N0) / (t1/2 x ln2), where MM is the molecular mass, N0 is the initial number of atoms, and t1/2 is the half life of the substance.

3. Can you give an example of calculating molecular mass using decay and half life?

Sure, let's say we have a sample of Carbon-14 with an initial amount of 1000 atoms and a half life of 5730 years. Plugging these values into the equation, we get MM = (0.693 x 1000) / (5730 x ln2) = 1.21 x 10^19 g/mol.

4. How does the half life affect the molecular mass?

The half life directly affects the molecular mass because it determines the rate at which the radioactive substance decays. A longer half life means a slower rate of decay and a higher molecular mass, while a shorter half life means a faster rate of decay and a lower molecular mass.

5. Are there any limitations to calculating molecular mass from decay and half life?

Yes, there are a few limitations to this method. Firstly, it assumes that the decay process is constant and does not take into account any external factors that may affect it. Additionally, it only applies to radioactive substances with a single decay pathway and does not account for any secondary decays. Lastly, it is important to note that the calculated molecular mass may not be an exact match to the actual molecular mass due to experimental error and uncertainty.

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