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Radioactive radium has a half-life of approximately 1599 years. What percent of a given amount remains after 100 years? (Round your answer to two decimal places.)

Radioactive Radium Has A Halflife Of Approximately 1599 Years What Percent Of A Given Amount Remains After 100 Years Round Your Answer To Two Decimal Places class=

Sagot :

[tex]P(t)=1*0.5^{\frac{t}{h}}[/tex]

Where:

P(t): percentage of initial remaining

t: time elapsed

h: half life of substance

Given the variables we know, we can solve for P(t).

[tex]P(t)=0.5^{\frac{100}{1599}}[/tex]

Plugging this into a calculator, we get that

P(t) = 0.95757733 = 95.757733% remaining

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