Problem: A 55.0 mg sample of sodium perchlorate contains radioactive chlorine-36 (whose atomic mass is 36.0 amu).If 29.6% of the chlorine atoms in the sample are chlorine-36 and the remainder is naturally occurring nonradioactive chlorine atoms, how many disintegrations per second are produced by this sample? The half-life of chlorine-36 is 3.0×105 yr.

FREE Expert Solution

We have to calculate the number of disintegrations per second produced by a 55.0 mg sample of sodium perchlorate, 29.6 % of chlorine in which is radioactive chlorine-36.


We will follow these steps to solve this problem:

Step 1: Determine the chemical formula of sodium perchlorate and its molar mass.

Step 2: Determine the number of radioactive chlorine atoms in the sample.

Step 3: Determine the rate constant for the decay of chlorine-36.

Step 4: Determine the number of number of disintegrations per second.

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Problem Details

A 55.0 mg sample of sodium perchlorate contains radioactive chlorine-36 (whose atomic mass is 36.0 amu).

If 29.6% of the chlorine atoms in the sample are chlorine-36 and the remainder is naturally occurring nonradioactive chlorine atoms, how many disintegrations per second are produced by this sample? The half-life of chlorine-36 is 3.0×105 yr.

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the First Order Half Life concept. You can view video lessons to learn First Order Half Life. Or if you need more First Order Half Life practice, you can also practice First Order Half Life practice problems.