Question

If 1 g of radium-226 has an activity of 1 curie, what is the activity of 2 g of radium-226? 1 curie 2 curies 4 curies 10 curies

Answer 1

2 curies

Step-by-step explanation:

This is actually pretty easy to explain.

The Radium-226 which is an isotope of the radium, have an activity of curie. This is basically used in radioactivity of certain elements.

As in both cases we have Radium -226 and we are only varying the mass of the Radium, then, we can just do a rule of 3 to calculate this:

1 g Ra-226 --------> 1 Curie

2 g Ra-226 --------> X Curie

Solving for X:

X = 2 g * 1 Curie / 1 g

X = 2 Curies.

You can also see this by taking 2 grams of Ra per separate. On one side you have 1 g of Ra-226 and on the other side, you have another 1 g of Ra-226. Both have 1 Cury of activity. If you put both on the same side, you will have 1 Cury of 1 isotope plus 1 cury of the other isotope, final result? 2 curies.

Hope this helps