Radium- $221$ Has a Half-Life Of $30 \mathrm {~s}$ Suppose We Have A Of 30

question 78

Essay

Radium- $221$ has a half-life of $30 \mathrm {~s}$ . Suppose we have a $300 \mathrm {~g}$ sample.
(a) Find a formula for the mass remaining after $t$ seconds.
(b) How much of the sample remains after $200$ seconds?
(c) After how long will only $20 \mathrm {~g}$ remain?

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Definitions:

Peripheral Intravenous Infusion

The technique of administering fluids or medications directly into the bloodstream through a small catheter inserted into a peripheral vein.

Infiltration

The process by which a substance, like a fluid, permeates or passes into a tissue, often used in the context of liquids entering tissues during medical procedures.

Hypertonic Solutions

Solutions with a higher concentration of solutes compared to the cell's internal environment, leading to osmotic pressure that may cause cell shrinkage.

Umbilical Catheter

A thin tube inserted into one of the blood vessels in the umbilicus (navel) of a newborn for administering medication, fluids, or for drawing blood.