Question

Suppose a room is 5.2 m long by 4.3m wide and 2.9 m high and has an air conditioner that exchanges air at a rate of 1200 L/min. How long would it take the air conditioner to exchange the air in the room

Answer 1

54 minutes

Explanation:

From the question, we are given;

• A room with dimensions 5.2 m by 4.3 m by 2.9 m
• The exchange air rate is 1200 L/min

We are required to determine the time taken to exchange the air in the room;

First we are going to determine the volume of the room;

Volume of the room = length × width × height

= 5.2 m × 4.3 m × 2.9 m

= 64.844 m³

Then we should know, that 1 m³ = 1000 L

Therefore, we can convert the volume of the room into L

= 64.844 m³ × 1000 L

= 64,844 L

But, the rate is 1200 L/min

Thus, time = Volume ÷ rate

= 64,844 L ÷ 1200 L/min

= 54.0367 minutes

= 54 minutes

Therefore, it would take approximately 54 minutes