Question

An isotope has a half-life of 15 days. If one is to make a table showing the half-life decay of a sample of this isotope from 32 grams to 1 gram; list the time (in days, starting with t = 0) in the first column and the mass remaining (in grams) in the second column, which type of sequence is used in the first column and which type of sequence is used in the second column?

Answer 1

@allydiaz wht do u mean by sequence here??
u must be knowing tht decaying process is 1 order reaction....

Answer 2

I don't fully understand what the question is asking...

Answer 3

I think once sequence would be geometric and another arithmetic. Maybe

Answer 4

ok

Answer 5

\[k = \lambda \]

Answer 6

on right side its remaining conc. of radioactive substance.......

Answer 7

11 days - 16 grms??????

Answer 8

oh sorry I would change it for every 15 days instead ( read the numbers wrong)

Answer 9

yup now the table is correct....

Answer 10

on left side its A.P and right side its G.P

Answer 11

What does that mean?

Answer 12

i just told about the nature of sequence on each side of equality

Answer 13

ok so the right side is arithmetic and the left side is geometric?

Answer 14

no no.....the days column is arithmetic and mass column is geometric.....
left side - arithmetic
right side - geometric

Answer 15

Ah ok. So how do I apply these numbers to the table you previously made?

Answer 16

hey man , thts ur answer....
u got those values when u plug data in equations i provided in tht table

Answer 17

The remaining conc. part has me confused b/c idk what k= (weird symbol) means

Answer 18

see for radioactivity
half life i.e \[t_{\frac{ 1 }{ 2 }} = \frac{ \ln 2 }{ \lambda } \]
\[\lambda ~~~ is ~~~ decay~~~~~constant \]

Answer 19

Ok. I don't think I need that for this problem though.

Answer 20

Thanks for your help @rishavraj

Answer 21

u r most welcome....