   Chapter 25.8, Problem 3.3ACP

Chapter
Section
Textbook Problem

Determine the rate constant for the radioactive decay of 87Rb.

Interpretation Introduction

Interpretation:

The rate constant for the radioactive decay of rubidium-87 has to be calculated.

Concept Introduction:

Radiocarbon dating: The dynamic equilibrium exists in all living organism by exhaling or inhaling, maintain the same ratio of 12C and 14C that takes in. when the living organism dies, the intake of 14C stops and it’s the ratio no longer exhibits equilibrium; undergoes radioactive decay.

Half-life period: The time required to reduce to half of its initial value.

Formula used to calculate rate constant:

t1/2=0.693kwhere,kis rate constant.(or)ln[N]t- ln[N]0= -kt

Explanation

The quantity of a radio-element which disappears in unit is directly proportional to the amount present.

K=0.693t1/2

Here;t1/2 is Half-life of Rubidium-87.

k = Rate constant; Half-life of Rubidium-87 = 48.8 billion years.

k=0.6934.88×1010y=1

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