Question

The table below compares the radioactive decay rates of two materials.


Material Original mass of material (in grams) Mass of material after 60 hours (in grams)
1 208 13
2 200 50

Based on the table, which of these conclusions is most likely correct?
The half-life of Material 1 and Material 2 are equal.
The half-life of Material 2 is double the half-life of Material 1.
The half-life of Material 2 is 30 hours more than the half-life of Material 1.
The half-life of Material 1 is 30 hours more than the half-life of Material 2.

Answer 1

im taking a FIFTY question assignment btw lol. Lot of tuff things and i need to have a passing grade.

Answer 2

This is homework?

Answer 3

yes.

Answer 4

my teachers give a lot

Answer 5

im just putting anything that i cant get on here.

Answer 6

want to understand and get it correct

Answer 7

Okay. Try using this formula:

\[N(t)=N _{0}(\frac{ 1 }{ 2 })^{\frac{ t }{ t _{1/2} }}\]

Where N(t) is the amount now present, NO is the initial amount, t is the time elapsed and t1/2 is the halflife.

Answer 8

You know everything variable in this except for the half lifes. Try plugging in the information for both samples and see if there's anything different about them.

Answer 9

*every variable

Answer 10

what do you mean byamount elapsed

Answer 11

by amount*

Answer 12

sorry btw. my 2 worst subjects are math and science haha

Answer 13

so right next to the original amount, there's another amount. that's how much is left after the time passed.

Answer 14

nah, you're good.

Answer 15

the thing i dont get it would the half like just be NO divided by 2

Answer 16

that would be the amount left after its half life. the half life is how long it takes to get to that point.

Answer 17

the amounts in this table undergo multiple half lifes so it's hard to calculate without a formula.

Answer 18

im confused. I got 3.25 for the 208

Answer 19

You can calculate the half life in steps if the formula looks complicated.
1. Divide the initial amount by final one.
2. Identify it as powers of 2.
3. Divide 60 hours by the amount of power.

Answer 20

Identify "it" (?) as the powers of 2?

Answer 21

For the first one you get:
208:13 = 16
16 = 2^4
60/4 = ...

Answer 22

15

Answer 23

Same for the second one...

Answer 24

that would mean the second one is what 60? or 30?

Answer 25

200/50 = 4
4 = 2^2
60/2 = ...

Answer 26

30

Answer 27

which would be b

Answer 28

Yes , now you can read the options and see which is correct

Answer 29

thx

Answer 30

so who doi i best response lol

Answer 31

thanks for helping guys both of u