Question

You have 8,640 grams of a radioactive kind of cesium. If its half-life is 30 years, how much

Answer 1

The mass of cesium left afer 120 years if the original mass of cesium is 8640 with an half-life of 30 years,  is 540 grams.

What is half-life?

This can be defined as the time taken for half the amount of a radioactive substance to decay.

To calculate the amount of cesium left after 120 years, we use the formua below.

Formula:

• R' = R/($2^{T/t}$)............. Equation 1

Where:

• R = Original amount of Cesium
• R' = New amount of cesium
• T = Total time
• t = Half-life

From the question,

Given:

• R = 8640
• T = 120 years
• t = 30 years

Substitute these values into equation 1

• R' = 8640/($2^{120/30}$)
• R' = 8640/$2^{4}$
• R' = 8640/16
• R' = 540 grams.

Hence, The mass of cesium left afer 120 years is 540 grams.

Learn more about half-life here: brainly.com/question/25750315