Answer :
45 years will take for 15 grams of strontium to decay to 5 grams
What is strontium?
The chemical element strontium has the atomic number 38 and the symbol Sr. Strontium is a soft, silver-white, yellowish metallic element that is an alkaline earth metal and has a strong reactivity to chemicals. When the metal is exposed to air, a thick layer of dark oxide forms.
Equation Given.
[tex]P = Po e^{-0.0244t}[/tex]
given P = 5 gram
[tex]P_o = 15 gram[/tex]
Hence ,time taken
[tex]5 = 15 e^{-0.0244t}[/tex]
[tex]\frac{5}{15} = e^{-0.0244t}[/tex]
Taking log both side,
[tex]ln(\frac{1}{3} )=ln (e^{-0.0244t})\\\\-1.098 = -0.0244t\\\\t=\frac{1.098}{0.0244}\\\\t=45years[/tex]
Hence, 45 years will take for 15 grams of strontium to decay to 5 grams.
Learn more about strontium link below.
https://brainly.com/question/29751215
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