A radioactive substance has a decay rate of 0.079 per minute. How many grams of a 200 gram sample will remain radioactive after 1 hour? Round the answer to the nearest tenth of a gram, and do not include the unit in your answer.

Respuesta :

1.75 g of 200g sample will remain radioactive after 1 hour

Explanation:

Given:

Decay rate, r = 0.079 per minute

Time, t = 1 hr = 60 min

Amount of the sample = 200 g

According to decay formula:

[tex]y(t) = y_o e^-^r^t[/tex]

On substituting the value we get:

[tex]y(60) = 200 X e^-^0^.^0^7^9^X^6^0\\\\y(60) = 200 X e^-^4^.^7^4\\\\y(60) = 1.75[/tex]

Therefore, 1.75 g of 200g sample will remain radioactive after 1 hour