A 1200 CFM furnace operating with a 10 kW heater at 240 V AC would have a temperature rise of what range in degrees Fahrenheit?

To determine the temperature rise of a furnace using a specific heater wattage and airflow rate, you can apply the formula that relates these variables. The formula to calculate temperature rise in a forced air system is:

[

\text{Temperature Rise (°F)} = \frac{\text{Watts} \times 3.413}{\text{CFM}}

]

In this formula, the factor of 3.413 is used to convert watts to BTUs per hour, and CFM stands for Cubic Feet per Minute, which indicates the airflow rate.

For the given scenario:

• The heater output is 10 kW, which is equivalent to 10,000 watts.

• The airflow rate is 1200 CFM.

Substituting these values into the formula:

1. Convert watts to BTUs:

[

10,000 \text{ watts} \times 3.413 = 34,130 \text{ BTU/hr}

]

2. Compute the temperature rise:

[

\text{Temperature Rise} = \frac{34,130 \text{ BTU/hr}}{1200 \text{ CFM}} = 28.44 \text{