## Wednesday, December 13, 2023

### Transmission factor practice question

Assume there is an initial radiation level of 15 R/hr inside a facility. The walls of the facility are constructed with tungsten, having a 30% transmission factor, and fiberglass, with an 80% transmission factor. How much radiation reaches outside the facility?

We start with an initial radiation level inside the facility of 15 R/hr. The facility walls are made of tungsten with a 30% transmission factor and fiberglass with an 80% transmission factor.

The formula to calculate the radiation level outside the facility (${�}_{\text{out}}$) is:

${�}_{\text{out}}={�}_{\text{in}}×{�}_{\text{tungsten}}×{�}_{\text{fiberglass}}$

Substitute the values:

${�}_{\text{out}}=15\text{\hspace{0.17em}}\text{R/hr}×0.3×0.8$

${�}_{\text{out}}=3.6\text{\hspace{0.17em}}\text{R/hr}$

Therefore, 3.6 R/hr of radiation would reach outside the facility after passing through walls with tungsten (30% transmission) and fiberglass (80% transmission).

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