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By definition, halflife is the time during which half of the atoms originally present will undergo radioactive change. Therefore, after 15 hours, the number of atoms of Na24 remaining will be half the original number, 500; after an additional 15 hours, the number of atoms remaining will be 250, and after 45 hours the number remaining will be 125 (this is the answer). (Actually, 1000 atoms is too small a number for the halflife to be exactly manifested, but the earlier part of the answer assumes that it is.)

so what he's trying to say is the answer is 125

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Wiki User

8y ago
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Colton Lynn

Lvl 1
3y ago
Really. Its 125! Im taking the test right now on apex and 500 is wrong bud. The answer is 125 trust me.
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14y ago

That is known as the sodium-24 "half life"

Let's say there are 1000 radioactive atoms in a sample of sodium-24.

In 15 hours there will only be 500.

In 15 more hours there will only be 250, and so on.

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12y ago

By simple inspection, you can see that four half-lives will occur for 93.755 % of the sample to decay. This is 6.245 % remaining, and the half-life progression is 0.5, 0.25, 0.125, and 0.0625, which is close to 0.06245.

The equation for half life is ...

AT = A0 2(-T/H)

... where A0 is the initial activity, AT is the activity after some time T, and H is the half-life in units of T.

Solving exactly for AT = 0.06245 and A0 = 1 (and H = 1, for now) ...

0.06245 = 2-T

log2(0.06245) = -T

T = 4.00115

... so, if H is 15 hours, then T is 60.0173 hours.

However, the half-life of sodium depends on the particular isotope. There are 20 different isotopes of sodium, one of which is stable. Of the remaining 19, one, 1124Na, has a half-life of 14.997 hours, decaying by beta- decay to 1224Mg, which is stable.

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Wiki User

14y ago

125

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Wiki User

15y ago

12.5 grams

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Wiki User

13y ago

1.125

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Nesreen Rajab

Lvl 2
1y ago

0.63 g

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Q: Half of the radioactive atoms in a sample of sodium-24 will decay in 15 hours fifteen hours is the what of sodium-24?
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