izzyrawrz
  • izzyrawrz
2. The data in the table show the amount of a 500 g sample of sodium-24 over time. Make a graph of the data, labeling all axes and adding a title. What is the half-life of sodium-24? Explain your answer. Sodium-24 decays by beta emission. Write a nuclear equation that shows the decay of sodium-24 and its products.
Chemistry
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
izzyrawrz
  • izzyrawrz
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izzyrawrz
  • izzyrawrz
Is the half-life 250? or is it 8? I'm thinking 250 but the half-life could mean the half of the half of the half life, right?
Fandude727
  • Fandude727
here someone else asked this question see if it'll help you out.

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izzyrawrz
  • izzyrawrz
@Fandude727 Was there supposed to be a link or something?
whpalmer4
  • whpalmer4
How much do you have at the start?
izzyrawrz
  • izzyrawrz
500 g
whpalmer4
  • whpalmer4
What is 1/2 of 500? At what time do you have that amount left?
izzyrawrz
  • izzyrawrz
250 g and the time would be 15 h
whpalmer4
  • whpalmer4
Right. So the half-life is 15 hours. If you take any point in the table, observe the amount Na at that point, then go look at the entry 15 hours later, it should be 1/2 of the amount of Na at the earlier spot.
izzyrawrz
  • izzyrawrz
Oh okay, I got it can you help me with the equation part?
whpalmer4
  • whpalmer4
After 1 half-life elapses, 1/2 of the original material has undergone decay. Of course!
whpalmer4
  • whpalmer4
What is the atomic number of Na? And the atomic mass?
izzyrawrz
  • izzyrawrz
The atomic number of Na is 11 and the mass is 22.99 g/mol
whpalmer4
  • whpalmer4
If we lose a beta particle from the nucleus, what happens? What change and mass does the beta have?
izzyrawrz
  • izzyrawrz
We have one extra proton and electron?
whpalmer4
  • whpalmer4
Beta emission is effectively the splitting of a neutron into a proton (which stays) and the beta particle (which leaves). So we start with 11 protons and 23-11 = 12 neutrons in the nucleus. We split one of those neutrons into another proton and a beta particle, which we emit, leaving us with 11+1 = 12 protons, and 12-1=11 neutrons. What element is that?
izzyrawrz
  • izzyrawrz
Magnesium?
izzyrawrz
  • izzyrawrz
@whpalmer4 ?
whpalmer4
  • whpalmer4
Yes, magnesium is correct. For something cool, have a look at this: http://www.periodictable.com/Isotopes/011.24/index.dm.html which shows the decay mode. Explore some of the other isotopes and see how they decay.
whpalmer4
  • whpalmer4
So your decay equation looks like \[{\text{Na}_{11}}^{24}\rightarrow {e_0}^1 + {\text{Mg}_{12}}^{23}\]
whpalmer4
  • whpalmer4
I said earlier that we had 12 neutrons and 11 protons, but that was for Na-23 and we are using Na-24 here, so there is 1 more neutron: 13 neutrons and 11 protons. As most sodium atoms are Na-23 and some are even lighter isotopes, the average atomic mass is about 23, but for Na-24 alone it is about 23.99 atomic mass units.
izzyrawrz
  • izzyrawrz
@whpalmer4 Danke! You're a better teacher than mine :D
whpalmer4
  • whpalmer4
Better version: \[~_{11}^{24}\text{Na}\rightarrow ~_{-1}^{0}e + ~_{12}^{24}\text{Mg}\] You can see if you add across at the same position, we always have the same sum on each side of the arrow. 24 = 0 + 24 11 = -1 + 12
whpalmer4
  • whpalmer4
My previous answer was incorrect. Too long since my last caffeine infusion :-)
izzyrawrz
  • izzyrawrz
Haha "caffeine, the only way to keep us on track"
whpalmer4
  • whpalmer4
it's not just for breakfast any more!
izzyrawrz
  • izzyrawrz
It never was!
whpalmer4
  • whpalmer4
Were you able to make a nice graph from the table?
izzyrawrz
  • izzyrawrz
Ja, I was able to make a decent graph thanks to you!

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