Question

he main meeting room of the Torrey Pines Community Center measures 35 feet by 20 feet and has a 11-foot ceiling. It is well-insulated and faces the east side of his house. The manager wants to purchase an air conditioner. How large of an air conditioner should he purchase? Round up to the next thousand BTUs.

Answer 1

The air conditioner should have a real capacity of 21000 BTU per hour.

Selection of a AC unit for a meeting room

First, we calculate we must calculate the ideal room area ($A$), in square feet, represented by the following formula:

$A = l\cdot w$ (1)

Where:

• $l$ - Length, in feet.
• $w$ - Width, in feet.

($l = 35\,ft$, $w = 20\,ft$)

$A = (35\,ft)\cdot (20\,ft)$

$A = 700\,ft^{2}$

Now we estimate the recommended ideal air conditioner capacity ($C$), in BTU per hour, by energy charts. According to this source, we have the following recommended ideal capacity:

$A = 700\,ft^{2} \to C = 18000\,\frac{BTU}{h}$

As ceiling ($h$), in feet, is greater than 8 feet, we need to add 1000 BTU per hour per each additional foot to the recommended ideal air conditioner capacity. Then, the recommended real air conditioner capacity ($C'$), in BTU per hour, is:

$C' = C + 1000\cdot (h-h_{min})$, for $h \ge h_{min}$ (2)

Where:

• $C$ - Recommended ideal air conditioner capacity, in BTU per hour.
• $h_{min}$ - Minimum ceiling, in feet.
• $h$ - Current ceiling, in feet.

($C = 18000\,\frac{BTU}{h}$, $h_{min} = 8\,ft$, $h = 11\,ft$)

$C' = 18000\,\frac{BTU}{hr} + 1000\cdot (11\,ft-8\,ft)$

$C' = 21000\,\frac{BTU}{hr}$

The air conditioner should have a real capacity of 21000 BTU per hour. $\blacksquare$

To learn more on air conditioners, we kindly invite to check this verified question: https://brainly.com/question/10679859