Radium has a half-life of 1500 years. How long will it take for 250kg of Radium to decay down to less than 10kg

6967 years

Explanation:

The radioactive substance left after a periodical t year can be expressed by using the formula:

here;

= the radioactive initial value.

We need to understand that provided that the radioactive substance will get reduced to half of the provided initial amount  after a periodic time, Then:

the half-life of the radioactive substance left is:

Given that:

the half-life = 1500 years

Divide both sides by

Then, find the natural logarithm of both side;

k = 0.000462

So, after a particular (t) time, a 250 kg radium sample was reduced to 10 kg;

Then:

From both sides, finding the natural logarithm, we have:

In(0.04) = -0.000462t

t = 6967.26

Thus, it will take approximately 6967 years for a 250 kg radium sample to get reduced to 10 kg.

explanation:

venn diagram is pictorial representation with of circles showing the relation between two finite sets or things. the intersection part of two circles conveys the relation present in between those sets or things.

here in the venn diagram of sand and salt two circles represent sand and salt. but the area falling under the intersection of these circle represents the mixture of sand and salt.

so, in a venn diagram the mixture will be placed in a middle that is in between the intersection of two circles.