I've just discovered a new radioactive element. at 1: 00 pm i measure 10 grams of the element, but at 1: 24 pm i measure only 1.25 grams of the element (with 8.75 grams of daughter product). how long is each half life, in minutes? (just enter the number).

Each half life is 8 minutes long.

Explanation:

Expression for rate law for first order kinetics is given by:

where,

k = rate constant  

t = age of sample  = 24 minutes

a = initial amount of the reactant  = 10 grams

a - x = amount left after decay process  = 1.25 grams

for completion of half life:  

Half life is the amount of time taken by a radioactive material to decay to half of its original value.

Thus half life is 8 minutes long

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