A linear slot diffuser measuring 8" x 24" with a K factor of .78 has a free area of how many square inches?

100 square inches

150 square inches

To determine the free area of the linear slot diffuser, you'll start with the dimensions provided and the K factor. The free area is typically calculated by multiplying the dimensions of the slot. In this case, the diffuser measures 8 inches in height and 24 inches in length.

The formula for calculating the free area (A) in square inches is:

\[ A = Height \times Length \]

Using this formula, the calculation would be:

\[ A = 8 \, \text{inches} \times 24 \, \text{inches} = 192 \, \text{square inches} \]

However, the K factor must also be considered when referring to the effective area in duct design. The K factor, which is the discharge coefficient, accounts for the fact that not all of the available area is effective for flow. In this scenario, the K factor of 0.78 implies that you need to apply it to the calculated free area to find the effective area.

To find the free area in relation to the K factor, you would multiply the total area by the K factor:

\[ Effective Area = A \times K \]

Calculating that:

\[ Effective Area = 192 \, \text{square

200 square inches

250 square inches

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