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