Question

В начальный момент времени радиоактивный образец содержал N0 изотопов радона 222Rn. Спустя время, равное периоду полураспада, в образце распалось 1,33 *10^5 изотопов радона. Определите первоначальное число радиоактивных изотопов радона, которое содержалось в образце.

Answer 1

за период полураспада распалась половина атомов.

значит изначально их было 2*1.33 * 10^5

Answer 2

Calculation of Initial Number of Radon-222 Isotopes

To determine the initial number of radon-222 isotopes in the sample, we can use the concept of half-life. The half-life is the time it takes for half of the radioactive isotopes in a sample to decay.

Given that after a time equal to the half-life, 1.33 * 10^5 radon-222 isotopes have decayed, we can calculate the initial number of radon-222 isotopes.

Let's denote the initial number of radon-222 isotopes as N0 and the half-life of radon-222 as T.

According to the information provided, after a time equal to the half-life, the number of remaining radon-222 isotopes is N0/2.

Therefore, we can set up the following equation:

N0/2 = N0 - 1.33 * 10^5

Simplifying the equation, we get:

N0/2 = N0 - 133,000

Multiplying both sides of the equation by 2 to eliminate the fraction:

N0 = 2 * (N0 - 133,000)

Expanding the equation:

N0 = 2N0 - 266,000

Rearranging the equation to isolate N0:

N0 - 2N0 = -266,000

- N0 = -266,000

N0 = 266,000

Therefore, the initial number of radon-222 isotopes in the sample was 266,000.

Note: Please keep in mind that the provided search results did not contain specific information related to the calculation. The calculation is based on the concept of half-life and the given information in the question.