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A parent isotope of rubidium-87 undergoes radioactive decay. If there were 50,000 atoms of the parent isotope initially, how many atoms of the parent isotope would be there after the 3^rd half-time of decay? 6250 1250 o 6500 1225

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A parent isotope of rubidium-87 undergoes radioactive decay. If there were 50,000 atoms of the parent isotope initially, how many atoms of the parent isotope would be there after the 3^rd half-time of decay? 6250 1250 o 6500 1225

A parent isotope of rubidium-87 undergoes radioactive decay. If there were 50,000 atoms of the parent isotope initially, how many atoms of the parent isotope would be there after the 3^rd half-time of decay? 6250 1250 o 6500 1225

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JasmineAdvanced · Tutor for 1 years

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### 6250

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## Step 1: Understanding the Problem<br />### The problem pertains to the radioactive decay of rubidium-87. The half-life of a radioactive substance is the time taken for half of its atoms to decay.<br /><br />## Step 2: First Half-Life Calculation<br />### After one half-life, half of the initial number of atoms would remain undecayed. Therefore, after the first half-life, we calculate the remaining atoms as:<br />\[\frac{50000}{2} = 25000\]<br />So, 25000 atoms would remain undecayed after the first half-life.<br /><br />## Step 3: Second Half-Life Calculation<br />### After the second half-life, half of the 25000 atoms would decay, leaving:<br />\[\frac{25000}{2} = 12500\]<br />So, 12500 atoms would remain undecayed after the second half-life.<br /><br />## Step 4: Third Half-Life Calculation<br />### After the third half-life, half of the 12500 atoms would decay, leaving:<br />\[\frac{12500}{2} = 6250\]<br />So, 6250 atoms would remain undecayed after the third half-life.<br /><br />## Step 5: Conclusion<br />### Thus, after the third half-life of decay, 6250 atoms of the parent isotope would remain.<br /><br />#
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