VIPSolutionsAct like a helpful tutor and exlain me : Give step-by-step solution with explanation and final answer:Problem 1-10 pts Use the psychrometric chart to fil in the missing values: [A [0 [Tw [© Ce [5 [1 1 T 2% |
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Act like a helpful tutor and exlain me :
Give step-by-step solution with explanation and final answer:
Problem 1-10 pts
Use the psychrometric chart to fil in the missing values:
[A [0 [Tw [©
Ce [5 [1 1 T 2% |
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Asked by: manish kumar
Created at: 2025-10-01 12:00:40
Asked by: manish kumar
Created at: 2025-10-01 12:00:40
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## Step-by-Step Solution: Psychrometric Chart Problem
Let's solve the problem step by step. You are given dry-bulb temperature (\(T_{db}\)), relative humidity (RH), and for point B, the wet-bulb temperature (\(T_{wb}\)). You are asked to fill in the missing values using a **psychrometric chart** (or tables). The properties to find are:
- Humidity ratio (\(W\))
- Enthalpy (\(h\))
- Specific volume (\(v\))
- Wet-bulb temperature (\(T_{wb}\)), only for A
- Dew point temperature (\(T_{dp}\))
---
### **Step 1: Gather Given Data**
| Point | \(T_{db}\) (°C) | RH (%) | \(W\) (kgw/kga) | \(h\) (kJ/kga) | \(v\) (m³/kga) | \(T_{wb}\) (°C) | \(T_{dp}\) (°C) |
|-------|-----------------|--------|-----------------|---------------|---------------|-----------------|-----------------|
| A | 30 | 40 | ? | ? | ? | ? | ? |
| B | 35 | ? | ? | ? | ? | 28 | ? |
---
### **Step 2: Use the Psychrometric Chart**
#### **Point A: \(T_{db} = 30^\circ C, RH = 40\%\)**
1. **Locate \(T_{db} = 30^\circ C\) on the x-axis.**
2. **Move up to the 40% RH curve.**
From the chart (approximate values):
- **Humidity Ratio (\(W\)):**
At 30°C and 40% RH, \(W \approx .013 \, \text{kgw/kga}\)
- **Enthalpy (\(h\)):**
\(h \approx 70 \, \text{kJ/kg}\)
- **Specific Volume (\(v\)):**
\(v \approx .88 \, \text{m}^3/\text{kga}\)
- **Wet-bulb Temperature (\(T_{wb}\)):**
\(T_{wb} \approx 22 \, ^\circ C\)
- **Dew Point Temperature (\(T_{dp}\)):**
\(T_{dp} \approx 15 \, ^\circ C\)
---
#### **Point B: \(T_{db} = 35^\circ C, T_{wb} = 28^\circ C\)**
1. **Locate \(T_{db} = 35^\circ C\) and find the intersection with the \(T_{wb} = 28^\circ C\) line.**
From the chart (approximate values):
- **Relative Humidity (RH):**
RH \( \approx 36\% \)
- **Humidity Ratio (\(W\)):**
\(W \approx .017 \, \text{kgw/kga}\)
- **Enthalpy (\(h\)):**
\(h \approx 83 \, \text{kJ/kg}\)
- **Specific Volume (\(v\)):**
\(v \approx .90 \, \text{m}^3/\text{kga}\)
- **Dew Point Temperature (\(T_{dp}\)):**
\(T_{dp} \approx 20 \, ^\circ C\)
---
### **Step 3: Fill in the Table**
| Point | \(T_{db}\) (°C) | RH (%) | \(W\) (kgw/kga) | \(h\) (kJ/kga) | \(v\) (m³/kga) | \(T_{wb}\) (°C) | \(T_{dp}\) (°C) |
|-------|-----------------|--------|-----------------|---------------|---------------|-----------------|-----------------|
| A | 30 | 40 | .013 | 70 | .88 | 22 | 15 |
| B | 35 | 36 | .017 | 83 | .90 | 28 | 20 |
---
### **Step 4: Explanation**
- **Locate the point on the psychrometric chart with the given dry-bulb temperature.**
- **Move vertically to the correct relative humidity or wet-bulb line.**
- **Read off the required properties from the chart.**
- **If you don't have a chart, use standard psychrometric equations or online calculators.**
---
## **Final Answers**
| Point | \(T_{db}\) (°C) | RH (%) | \(W\) (kgw/kga) | \(h\) (kJ/kga) | \(v\) (m³/kga) | \(T_{wb}\) (°C) | \(T_{dp}\) (°C) |
|-------|-----------------|--------|-----------------|---------------|---------------|-----------------|-----------------|
| **A** | 30 | 40 | .013 | 70 | .88 | 22 | 15 |
| **B** | 35 | 36 | .017 | 83 | .90 | 28 | 20 |
---
**Note:** Values are approximate; always use your specific psychrometric chart for exact answers as required by your instructor. If you want to see how to do the calculations without a chart (using equations), let me know!
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