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sineoko [7]
3 years ago
13

For an unknown sample of the experiment, students measure 1668 counts when they first receive their sample and 1330 counts 5 min

utes later. Calculate the half-life t1/2 t 1/2 of their sample.
Physics
1 answer:
marshall27 [118]3 years ago
7 0
<h3>Answer:</h3>

15.29 minutes

<h3>Explanation:</h3>

<u>We are given;</u>

  • Original number of counts = 1668 counts
  • New number of counts = 1330 counts
  • Time is 5 minutes

We are required to determine the half life of the sample;

  • We know that half life is the time it takes for a radioactive sample to decay by a half of the original amount.
  • To calculate the remaining mass after decay we use the formula;
  • N = N₀ × 0.5^n , where N is the remaining amount, N₀ is the original amount and n is the number of half lives.
  • Using the formula we can calculate the value of n;
  • Therefore;

1330 counts = 1668 counts × 0.5^n

Thus,

0.5^n = 0.79736

Introducing logarithm;

n log 0.5 = log 0.79736

Thus,

n = 0.327

But, n = time ÷ half life

Thus,

Half life = time ÷ n

            = 5 minutes ÷ 0.327

           = 15.29 minutes

Thus, the half life of the unknown sample is <u>15.29 minutes</u>

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