Carbon-14 Decay and Calculations

The video tutorial explains how to solve a problem related to carbon-14 dating by comparing decay rates in a living tree and an old piece of wood. It covers the reasons for different decay rates, the constant production of carbon-14 in the atmosphere, and the calculation of the wood's age using decay formulas. The tutorial also predicts decay rates for wood aged 18,000 years.

Why do living trees and dried wood have different carbon-14 decay rates?

• Living trees absorb carbon dioxide, maintaining a constant carbon-14 level.

• Dried wood absorbs more carbon dioxide than living trees.

• Dried wood has a higher carbon-14 decay rate than living trees.

• Living trees have less carbon-14 than dried wood.

What happens to carbon-14 during beta decay?

• It converts into carbon-12.

• It emits a beta particle and becomes nitrogen-14.

• It absorbs a neutron and becomes carbon-15.

• It remains unchanged.

Why is the decay rate of carbon-14 in the atmosphere considered constant?

• Because it is only produced in the upper atmosphere.

• Because it is never consumed.

• Because it is only consumed in the lower atmosphere.

• Because it is continuously produced and consumed at equal rates.

How is the rate constant 'k' calculated for carbon-14?

• By dividing the natural log of 2 by the decay rate.

• By dividing the natural log of 2 by the half-life.

• By multiplying the decay rate by the half-life.

• By adding the decay rate to the half-life.

What is the initial decay rate of the old piece of wood when it was living?

• 13.6 counts per minute per gram

• 6.8 counts per minute per gram

• 1.7 counts per minute per gram

• 3.4 counts per minute per gram

How long has the piece of wood been dead if its current decay rate is 3.4 counts per minute per gram?

• 5,730 years

• 22,920 years

• 11,457 years

• 18,000 years

If a tree was alive for 4,000 years, what is its total age including the time it has been dead?

• 18,000 years

• 4,000 years

• 11,457 years

• 15,457 years

How many years does it take for the carbon-14 decay rate to halve?

• 22,920 years

• 18,000 years

• 5,730 years

• 11,460 years

What is the estimated decay rate for wood that is 18,000 years old?

• 3.4 counts per minute per gram

• 0.85 counts per minute per gram

• 1.54 counts per minute per gram

• 1.7 counts per minute per gram

Which formula is used to calculate the final decay rate of carbon-14?

• Final amount = Initial amount - e^(-kt)

• Final amount = Initial amount + e^(kt)

• Final amount = Initial amount * e^(-kt)

• Final amount = Initial amount / e^(kt)