High School

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A hot-air home heating system takes in 0.25 m³/s of air at 100 kPa and 17°C into a furnace, heats it to 52°C, and delivers the flow to a square duct measuring 0.2 m by 0.2 m at 110 kPa. What is the velocity in the duct? (6.37 m/s)

Answer :

Answer:

In this case, the velocity in the duct is 6.25 m/s

Explanation:

To calculate the velocity in the duct, we can use the formula for air flow velocity in a duct:

Velocity = Volume flow rate / Cross-sectional area

Given:

- Volume flow rate of air = 0.25 m³/s

- Cross-sectional area of the square duct = 0.2 m x 0.2 m = 0.04 m²

Now, we can calculate the velocity:

Velocity = 0.25 m³/s / 0.04 m²

Velocity = 6.25 m/s

Therefore, the velocity in the duct is 6.25 m/s

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