The half life of an element X is 5 days. If we have 10g of X intially, what is the mass of X for 5 days

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What's to explain? Half life of element X is 5 days. It has a mass of 10 grams initially. In a 5 day period the resulting amount of the element X will now be 5 grams. Then I added a caveat. If you have element X of 10 grams with a half life of 5 days, at the end of 5 days you will have 5 grams of element X but you will had 5 grams of element X left PLUS the decay products of element X which might weigh 5 grams or a little more the 5 grams or a little less than 5 grams depending upon what the decay products are. What you see is that half of the radioactive element X disappeared but you still have half of it left plus whatever the decay products are.

Well, if the half-life of element X is 5 days, that means after 5 days, half of the initial amount of X will have decayed. So, after 5 days, you'll have 5g of X left.

To calculate the mass of element X after 5 days, we need to understand the concept of half-life and how it relates to the decay of a radioactive substance.

The half-life of an element is the time it takes for half of the initial amount of that element to decay or transform into another element or isotope. In this case, if the half-life of element X is 5 days, it means that after 5 days, half of the initial mass of X will remain.

Given that we have 10g of element X initially, after 5 days, half of it will remain. So, to find the mass of X after 5 days, we need to divide the initial mass by 2.

10g / 2 = 5g

Therefore, the mass of element X after 5 days will be 5 grams.

I assume you mean what is the mass of X AFTER 5 days/

The half life is 5 days so 1/2 the mass will disappear in 5 day. So 1/2 of 10 = 5. It is important for you to realize that it's the mass of element X that will go away but that the "sample" may not decrease by 1/2.