Question

radium disintegrates at a rate proportional to the amount present. If 100 mg are set aside now, 96 mg will be left 100 years hence. Find how much will be left t centuries from the time the radium was set aside. Determine the amount left after 2,56 centuries, Can someone show me how to solve this without using DE? because i already know how to solve it via DE

Answer 1

is that 2.56 centuries?

Answer 2

yeah sorry

Answer 3

you cant solve this without a DE because the value dont fit nicely. If they daid half life of c_14 is 5500 years and you start with 100 grams how much do you have after 11000 years it would be 25 grams as that is exactly two half lives. here you halve fractions of half lives so DE is the only way. though you can use the formula M=Moe^(-kt) find k by letting M=Mo/2 and graph and solve it on a graphics calculator.

Answer 4

so basically..only way to solve this is by differential equations?

Answer 5

that or graph it.

Answer 6

lol nevermind..DE it is :P