give step by step with explanation and conclusioner me
Question:
give step by step with explanation and conclusion
er
me
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Asked by: Test User 100132
Created at: 2025-05-05 06:28:59
Asked by: Test User 100132
Created at: 2025-05-05 06:28:59
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Let's break down the question step by step:
---
### **Question Recap**
- The atmospheric pressure at the summit of Mt. McKinley is **610. mmHg**.
- You are asked to convert this pressure into:
1. **atm (atmospheres)**
2. **kPa (kilopascals)**
---
## **Step 1: Conversion to atm**
### **Conversion Factor**
- \( 1 \text{ atm} = 760 \text{ mmHg} \)
### **Calculation**
\[
\text{Pressure in atm} = \frac{610 \text{ mmHg}}{760 \text{ mmHg/atm}}
\]
\[
\text{Pressure in atm} = 0.803 \text{ atm}
\]
---
## **Step 2: Conversion to kPa**
### **Conversion Factor**
- \( 1 \text{ atm} = 101.325 \text{ kPa} \)
- \( 1 \text{ mmHg} = 0.133322 \text{ kPa} \) (Alternatively, you can use this direct conversion.)
### **Calculation**
\[
\text{Pressure in kPa} = 610 \text{ mmHg} \times 0.133322 \text{ kPa/mmHg}
\]
\[
\text{Pressure in kPa} = 81.327 \text{ kPa}
\]
- Rounded to three significant figures (since 610 has three): **81.3 kPa**
---
## **Summary Table**
| Given | To Find | Conversion Factor | Answer |
|--------------|---------|------------------------|---------------|
| 610 mmHg | atm | 1 atm = 760 mmHg | 0.803 atm |
| 610 mmHg | kPa | 1 mmHg = 0.133322 kPa | 81.3 kPa |
---
## **Conclusion**
- **610 mmHg = 0.803 atm**
- **610 mmHg = 81.3 kPa**
These are the atmospheric pressures at the summit of Mt. McKinley in different units. Always use the correct number of significant digits based on the data provided.
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