The Egyptian mummy was buried 3023.3 years ago.
Isotopes are two or more different atom types that share the same atomic number and place in the periodic table but have different quantities of neutrons in their nuclei, resulting in various nucleon numbers.
An Egyptian mummy's burial fabric is thought to still have 59% of its original carbon-14 content.
[tex]t_{1/2}[/tex] = 5730 years
The carbon-14 time constant is:
[tex]t_{1/2}[/tex] = τ × ㏑ 2
τ = [tex]t_{1/2}[/tex] ÷ ㏑ 2
τ = 5730 ÷ ㏑ 2
τ = 8266.642 years
The following is the equation for isotope mass decay:
m(t) / mₐ = [tex]e^{-t/\tau }[/tex]
0.59 = [tex]e^{\frac{-t}{5730}[/tex]
㏑ ( 0.59 ) = - t / 5730
t = - 5730 × ㏑ ( 0.59 )
t = - 5730 × -0.52763274208
t = 3023.3 years
Learn more about isotopes here:
brainly.com/question/14220416
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