Sure, here's how to solve this problem:

Step 1: Understand the concept of half-life. The half-life of a radioactive substance is the time it takes for half of the substance to decay.

Step 2: Determine the number of half-lives. In this case, 3200 years is two half-lives of 1600 years each.

Step 3: Calculate the remaining mass. After one half-life, half of the original mass remains. After two half-lives, half of the remaining half (or one quarter) remains.

So, if we start with 20 mg of radium, after one half-life, we would have 20 mg / 2 = 10 mg remaining. After two half-lives, we would have 10 mg / 2 = 5 mg remaining.

Therefore, after 3200 years, 5 mg of the radioisotope of radium would remain undecayed.

Question

Sure, here's how to solve this problem:

Step 1: Understand the concept of half-life. The half-life of a radioactive substance is the time it takes for half of the substance to decay.

Step 2: Determine the number of half-lives. In this case, 3200 years is two half-lives of 1600 years each.

Step 3: Calculate the remaining mass. After one half-life, half of the original mass remains. After two half-lives, half of the remaining half (or one quarter) remains.

So, if we start with 20 mg of radium, after one half-life, we would have 20 mg / 2 = 10 mg remaining. After two half-lives, we would have 10 mg / 2 = 5 mg remaining.

Therefore, after 3200 years, 5 mg of the radioisotope of radium would remain undecayed.

Knowee AI · Accepted Answer

Sure, here's how to solve this problem:

Step 1: Understand the concept of half-life. The half-life of a radioactive substance is the time it takes for half of the substance to decay.

Step 2: Determine the number of half-lives. In this case, 3200 years is two half-lives of 1600 years each.

Step 3: Calculate the remaining mass. After one half-life, half of the original mass remains. After two half-lives, half of the remaining half (or one quarter) remains.

So, if we start with 20 mg of radium, after one half-life, we would have 20 mg / 2 = 10 mg remaining. After two half-lives, we would have 10 mg / 2 = 5 mg remaining.

Therefore, after 3200 years, 5 mg of the radioisotope of radium would remain undecayed.

A radioisotope of radium has a half-life of 1600 years. The paint luminous watch face contains 20 mg of the radioisotope of radium. Calculate the mass that remains undecayed after 3200 years

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