I am not sure if there is an equation for this problem or wut??
A 73-kg person is accidentally exposed for 215 s to a 16-mCi source of beta radiation coming from a sample of 14C.
What is the activity of the radiation source in disintegrations per second? In becquerels? (1 Ci = 3.70 1010 disintegrations/s.)
1)disintegrations/s
2)Bq
thanks for the help!!
1 Ci = 3.70E10 dps; therefore,
1 mCi = 1/1000 of that = 3.70E7 dps and that is 3.70E7 Bq
it said that answers were wrong im pretty sure i have to use the 73 kg and 215 seconds.. or why would they put that in the question?
The problem asks for activity of the radiation SOURCE, not how much radiation the person was exposed to. Perhaps I've misinterpreted the question. We are never obligated to use all of the numbers in a question.
do you know how to do it using the numbers. I know for some problems uneeded information can be added but usually if its more than 2 peices then you use at least one of them
You have to multiply the 3.7e10 by the 16mCi, and then divide by 1000. Disintegrations/s, and bq will be the same. Remember sig figs....
To find the activity of the radiation source in disintegrations per second and becquerels, you'll need to use the formula:
Activity (disintegrations/s) = (Exposure Rate (Ci) * Conversion Factor (disintegrations/s)) / Exposure Time (s)
1 Ci (Curie) = 3.70 * 10^10 disintegrations/s
1) Activity in disintegrations per second:
First, convert the 16 mCi (milliCurie) to Ci by dividing it by 1000:
16 mCi = 16/1000 Ci = 0.016 Ci
Now, plug the values into the formula:
Activity (disintegrations/s) = (0.016 Ci * 3.70 * 10^10 disintegrations/s) / 215 s
Calculate the result:
Activity (disintegrations/s) = (0.016 * 3.70 * 10^10) / 215 ≈ 2.77 * 10^8 disintegrations/s
2) Activity in becquerels (Bq):
To convert the activity to becquerels, simply multiply the activity in disintegrations/s by the conversion factor (1 Ci = 3.70 * 10^10 disintegrations/s):
Activity (Bq) = Activity (disintegrations/s) * Conversion Factor (1 Ci = 3.70 * 10^10 disintegrations/s)
Plug in the value for the activity (disintegrations/s) calculated in step 1:
Activity (Bq) = 2.77 * 10^8 disintegrations/s * 3.70 * 10^10 disintegrations/s
Perform the multiplication to get the result:
Activity (Bq) = 1.0259 * 10^19 Bq (approximately)
So, the activity of the radiation source is approximately 2.77 * 10^8 disintegrations per second or 1.0259 * 10^19 becquerels.