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Question:
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This is AI generated Response.
Asked by: Veera manikanta
Created at: 2025-08-12 09:58:33
Asked by: Veera manikanta
Created at: 2025-08-12 09:58:33
Final Answer:
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Let's break down the question and solve it step by step:
---
**Given:**
- Saturated moist air enters at **40°F** and leaves at **110°F**
- Airflow rate = **25,000 CFM (Cubic Feet per Minute)**
- Find the **heat addition in BTU/min**
---
### Step 1: Calculate the temperature rise
\[
\Delta T = 110°F - 40°F = 70°F
\]
---
### Step 2: Use the formula for heat addition
The formula for heat addition for air:
\[
Q = \dot{V} \times 1.08 \times \Delta T
\]
Where:
- \( Q \) = Heat addition (BTU/hr)
- \( \dot{V} \) = Airflow (CFM)
- \( 1.08 \) = Conversion factor (for air at standard conditions)
- \( \Delta T \) = Temperature rise (°F)
---
### Step 3: Substitute the values
\[
Q = 25,000 \times 1.08 \times 70 = 1,890,000 \text{ BTU/hr}
\]
But the question asks for **BTU/min**:
\[
Q_{min} = \frac{1,890,000}{60} = 31,500 \text{ BTU/min}
\]
---
### Step 4: Find the closest answer
The closest option to **31,500 BTU/min** is:
- **30465 BTU/min**
---
## **Final Answer:**
**30465 BTU/min** (Option 4)
---
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