If a substance decays at a rate of 25% every 10 years, how long will it take 512 grams of the substance to decay to 121.5 grams

It will take 50 years to decay from 512 grams to 121.5 grams.

Step-by-step explanation:

The decay formula :

where

N= amount of substance after t time

N₀= initial of substance

t= time.

A substance decays at a rate 25% every 10 years.

So, remaining amount of the substance is = (100%-25%)= 75%

, t= 10

Taking ln both sides

Now , N₀= 512 grams, N= 121.5 grams, t=?

Taking ln both sides

⇒t=50 years

It will take 50 years to decay from 512 grams to 121.5 grams.

to rewrite a literal equation you may need to divide by a number, or by a variable.

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answer: 2530

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