The mass of sodium-24 at 8 hours after the initial experiment will be 2.2664 mg
Since we know that the initial mass of sodium-24 in a sample is 5mg, along it is said that every 15 hours there is a 15% decrease in mass.Therefore 15% of mass = (15/100)*5mg =0.15*5 = 0.75 mg
so after 15 hours the mass will be = 5-0.75mg = 4.25 mg, now applying the unitary method, which is a technique, where first we find the value of a single unit and then find the necessary value by multiplying the single unit value:
15 hours = 4.25
1 hours = 4.25 /15 mg = 0.2833 mg
8 hours = 0.2833*8 mg = 2.2664 mg
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the mass of the radioactive isotope sodium 24 is initially measured a 5 mg. if the mass of sodium 24 decreases 15% every 15 hours, which of the following is closest to the mass of the sodium-24 in the sample 8 hours after the initial measurement?