RPR-49

DAC fraction

Derived air concentration.

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GoverningDAC fraction

Governing equation

f=C/\\mathrm{DAC}

$C \in \left[0.1, 4000\right]$

where

C: C (Bq/m³)
DAC: DAC (Bq/m³)
f: DAC fraction (—)

The figure, part by part

Each numbered marker wears the color of its card. Hover a card to light the marker. Tap a marker to jump to that card. The slider walks a red point along the curve; Animate drawing traces it like a pen.

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①

Governing law — red

f=C/\\mathrm{DAC}

$C \in \left[0.1, 4000\right]$

$C = 0.1$ $f = 5\times 10^{-4}$

Along the curve

②

Domain of the variable — blue

C_{\min} = 0.1,\quad C_{\max} = 4000

$C \in \left[0.1, 4000\right]$

$C = 0.1$ $C = 0.1$

Along the curve

③

Response curve — green

f=C/\\mathrm{DAC}

$C \in \left[0.1, 4000\right]$

$C = 0.1$ $f = 5\times 10^{-4}$

Along the curve

④

Rate of change — amber

\frac{\mathrm{d}f}{\mathrm{d}C}

$C \in \left[0.1, 4000\right]$

$C = 25.26$ $f^{\prime} = 0.005$

Along the curve

Lecture brief

Historical brief

Inverse-square, half-value layer, ICRP weighting and ALARA are the protection craft since the 1920s commissions. The lab computes transmission, equivalent dose and a shielding snapshot. This sheet (RPR-49 — DAC fraction) is the form associated with DAC fraction. Working symbols: $C$ , $DAC$ $\rightarrow$ $f$ . Derived air concentration. Pedagogical SI sheet with a live model and a swept parameter.

Purpose

Purpose: compute

f

from

C

DAC

in Radiation protection via

f=C/\\mathrm{DAC}

Derived air concentration. Use it when a real radiation protection question must be answered in SI before a code check.

Live realistic example

In symbols

Live case. Given

C = 40.000\,\mathrm{Bq/m^{3}}

DAC = 200.000\,\mathrm{Bq/m^{3}}

, the governing relation

f=C/\\mathrm{DAC}

yields

f = 0.200\,\mathrm{—}

. One governing identity, SI units, a single sweep on the sheet. Move a slider: the numbers are this situation, not a canned story.

Calculator

Inputs

C C40 Bq/m³DAC DAC200 Bq/m³

Outputs

DAC fraction f0.200 —

Reading speed

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Narration of this film

One governing identity, SI units, a single sweep on the sheet.

Derived air concentration. Pedagogical SI sheet with a live model and a swept parameter.

Reading speed

Watch on YouTube