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In chemical engineering, production rate and mass flow calculations are important for analyzing the perform

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In chemical engineering, production rate and mass flow calculations are important for analyzing the performance of different processing units in a plant. Engineers often evaluate how many reactors are operating in each unit and how much product each reactor can produce per hour in order to determine the total production rate of the plant. In a chemical plant, Unit A has 6 reactors, and each reactor produces 120 kg of product per hour. Unit B has 4 reactors, and each reactor produces 150 kg of product per hour. Unit C has 5 reactors, and each reactor produces 110 kg of product per hour. Using this information, calculate the total product produced per hour in each unit and determine which processing unit has the highest production rate.

VIPSolutions · Accepted Answer

# Step-by-Step Solution

Let's break the problem into manageable steps:

## 1. Calculate Total Product per Unit per Hour

For each unit, multiply the number of reactors by the production rate per reactor.

### **Unit A**
- Number of reactors: **6**
- Production per reactor per hour: **120 kg**
- **Total product per hour**:

$$
\text{Total}_A = 6 \times 120 = 720\, \text{kg/hr}
$$

### **Unit B**
- Number of reactors: **4**
- Production per reactor per hour: **150 kg**
- **Total product per hour**:

$$
\text{Total}_B = 4 \times 150 = 600\, \text{kg/hr}
$$

### **Unit C**
- Number of reactors: **5**
- Production per reactor per hour: **110 kg**
- **Total product per hour**:

$$
\text{Total}_C = 5 \times 110 = 550\, \text{kg/hr}
$$

---

## 2. List the Results

| Unit    | Number of Reactors | Production per Reactor (kg/hr) | **Total per Unit (kg/hr)** |
|---------|--------------------|-------------------------------|----------------------------|
| **A**   | 6                  | 120                           | **720**                    |
| **B**   | 4                  | 150                           | **600**                    |
| **C**   | 5                  | 110                           | **550**                    |

---

## 3. Identify the Unit with the Highest Production Rate

- **Unit A:** 720 kg/hr
- **Unit B:** 600 kg/hr
- **Unit C:** 550 kg/hr

**Unit A** has the highest production rate.

---

# **Final Answers**

- **Unit A:** 720 kg/hr
- **Unit B:** 600 kg/hr
- **Unit C:** 550 kg/hr
- **Unit A has the highest production rate.**

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