The half-life of carbon 14 is 5,730 years. How much would be left of an original 50-gram sample after 2,292 years

37.9g of carbon 14 remains

Explanation:

The radioactive decay of an atom follows the equation:

Ln[A] = -kt + Ln[A]₀

Where [A] is amount of isotope after time t, k is decay constant and [A]₀ initial amount of the isotope.

We can find k from half-life using:

k = ln 2 / Half-Life

k = ln 2 / 5730 years

k = 1.2097x10⁻⁴ yrs⁻¹

Replacing in the equation all values:

Ln[A] = -1.2097x10⁻⁴ yrs⁻¹*2292yrs + Ln[50g]

Ln[A] = 3.635

[A] = 37.9g of carbon 14 remains

definition

                    entropy is a measure of the randomness or the extent of disorder of a chemical process.

                      enthalpy is a measure of the heat change of a reaction occurring at a constant pressure.

measurement units:

                        entropy is measured in joule per kelvin (jk⁻¹)   whereas enthalpy is measured in joule per mole (jmol⁻¹)

requirements:

                            entropy has no requirements or limits, and its change is measured by the division between the heat change of the chemical process and the temperature.

                              in contrast, enthalpy can only be related to the heat change of the reaction under standard conditions.