Get expert advice and community support for all your questions on IDNLearn.com. Our experts are ready to provide prompt and detailed answers to any questions you may have.

carbon dating may be used to date (once living) materials that are between 100 and 40,000 years old. what percentage of carbon-14 remains in a sample after 1.99 x 104 years? the half-life of the first-order decay of carbon-14 is 5730 years.

Sagot :

The percentage of carbon-14 that will remain in a sample after 1.99 x 10⁴ years is 9.01%.

Half-life is defined as the time it will took a substance to reduce to half of its initial amount. The half-life of a substance is determined with respect to the rate of the reaction. It can be calculated using the formula below.

N(t) = N₀(1/2)^(t/T)

where N(t) = amount of substance remaining after time t

N₀ = initial amount of substance

t = time = 1.99 x 10⁴ years

T = half-life = 5730 years

Plug in the given values to the equation.

N(t) = N₀(1/2)^(t/T)

N(t) = N₀(1/2)^(1.99 x 10⁴ years/5730 years)

N(t) = N₀(0.09006)

Hence, the percentage that will remain is 9.01%.

N(t) / N₀ = 0.09006

N(t) / N₀ = 9.01%

Learn more about half-life here: https://brainly.com/question/3788119

#SPJ4