# 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. ###### 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.