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What is the half-life of a radioactive substance if 75\% of a given amount of the substance disintegrates in 30 minutes?

Posted on November 9, 2022 by Author

What is the half-life of a radioactive substance if 75\% of a given amount of the substance disintegrates in 30 minutes?

What is the half-life of a radioactive substance if 75\% of a given amount of the substance disintegrates in 30 minutes? Solution: 75\% of the substance disintegrates in two half lives. ∴ t1/2​=15min.

What is the half-life of a radioactive substance is 75\% of any given amount of the substance disintegrates in 60 minutes?

half life of a radioactive substance which disintegrates by 75\% in 60 minutes will be. 75\% of the substance disintegrates into two half lives. ∴ 2 half – lives = 60 min ∴t1/2=30 min.

What is the half-life of a compound if 75 percent of a given sample of the compound decomposes?

compound. Half of what is left decomposes in a time equal to another half-life, so that only one quarter of the original compound remains. We see that 75\% of the original compound has decomposed after two half-lives. Thus two half-lives equal one hour, or the half-life of the decay is 30 min.

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What is half-life measured in?

A number of measurements are made and an average value is calculated. The average value is the half-life of the radioactive source….Measuring half-life.

Time (hours) Corrected count rate (counts per minute)
3 35
4 20
5 13

How do I calculate half-life?

The time taken for half of the original population of radioactive atoms to decay is called the half-life. This relationship between half-life, the time period, t1/2, and the decay constant λ is given by t12=0.693λ t 1 2 = 0.693 λ .

How long does it take for a radioactive sample to disintegrate?

Fraction of the radioactive sample disintegrated in 60 minutes = 75\% = 0.75 = ¾The fraction of the radioactive sample remaining un-disintegrated after 60 minutes = 1 – ¾ = ¼ = (½)²So 60 minutes equals two half-lives of the given radioactive sample.Therefore the half-life of the sample = (60/2) minute= 30 minute. 30 minutes.

What is the half-life of 75\% of a radioactive substance?

75\% of a radioactive substance disintegrates in 50s. What is its half-life period? 75\% of the substance is gone, leaving 25\%, or 1/4 of the original. Then: 1/2^x=1/4 where x is the number of half-lives gone.

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What is the half-life of 200 grams of an element?

So, if an element with the initial value of 200 grams decayed to 50 grams in 120 seconds, its half-life will 60 seconds. Similarly, you can also calculate other parameters such as initial quantity, remaining quantity, and time by using the above equations.

How many atoms decay in a half-life of 512 grams?

After one half-life half of the atoms will have decayed. Cool. Now we have 512 grams of the isotope (mixed in with about 512 grams of the decay product of that isotope).

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