The prevailing atmospheric pressure on a plateau in Colorado is 0.760 atm. Express this pressure in pounds per square inch, kilopascals, pascals, millimeters Hg, and inches Hg. Hint: 1 atm 101.3 kPa = 1.013×10° Pa = 760 mm Hg = 14.69 psi = 29.92 in Hg psi КРа Ра mm Hg in Hg atm 0.760

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**Pressure Conversion Example for Educational Purposes**

The prevailing atmospheric pressure on a plateau in Colorado is 0.760 atm. We need to express this pressure in various units: pounds per square inch (psi), kilopascals (kPa), pascals (Pa), millimeters of mercury (mm Hg), and inches of mercury (in Hg).

**Given Conversion Factors:**
- 1 atm = 101.3 kPa
- 1 atm = 1.013 × 10⁵ Pa
- 1 atm = 760 mm Hg
- 1 atm = 14.69 psi
- 1 atm = 29.92 in Hg

**Conversion Process:**

1. **Atmospheric Pressure (atm)**: `0.760 atm`

2. **Pounds per square inch (psi)**:
   \[
   0.760 \, \text{atm} \times 14.69 \, \frac{\text{psi}}{\text{atm}} = 11.1644 \, \text{psi}
   \]

3. **Kilopascals (kPa)**:
   \[
   0.760 \, \text{atm} \times 101.3 \, \frac{\text{kPa}}{\text{atm}} = 76.988 \, \text{kPa}
   \]

4. **Pascals (Pa)**:
   \[
   0.760 \, \text{atm} \times 1.013 \times 10^5 \, \frac{\text{Pa}}{\text{atm}} = 7.6988 \times 10^4 \, \text{Pa}
   \]

5. **Millimeters of Mercury (mm Hg)**:
   \[
   0.760 \, \text{atm} \times 760 \, \frac{\text{mm Hg}}{\text{atm}} = 577.6 \, \text{mm Hg}
   \]

6. **Inches of Mercury (in Hg)**:
   \[
   0.760 \, \text{atm} \times 29.92 \, \frac{\text{in Hg}}{\text{atm}} = 22.7392 \, \text{in Hg}
   \]

**Conversion Table:**

| atm  | psi    | kPa
Transcribed Image Text:**Pressure Conversion Example for Educational Purposes** The prevailing atmospheric pressure on a plateau in Colorado is 0.760 atm. We need to express this pressure in various units: pounds per square inch (psi), kilopascals (kPa), pascals (Pa), millimeters of mercury (mm Hg), and inches of mercury (in Hg). **Given Conversion Factors:** - 1 atm = 101.3 kPa - 1 atm = 1.013 × 10⁵ Pa - 1 atm = 760 mm Hg - 1 atm = 14.69 psi - 1 atm = 29.92 in Hg **Conversion Process:** 1. **Atmospheric Pressure (atm)**: `0.760 atm` 2. **Pounds per square inch (psi)**: \[ 0.760 \, \text{atm} \times 14.69 \, \frac{\text{psi}}{\text{atm}} = 11.1644 \, \text{psi} \] 3. **Kilopascals (kPa)**: \[ 0.760 \, \text{atm} \times 101.3 \, \frac{\text{kPa}}{\text{atm}} = 76.988 \, \text{kPa} \] 4. **Pascals (Pa)**: \[ 0.760 \, \text{atm} \times 1.013 \times 10^5 \, \frac{\text{Pa}}{\text{atm}} = 7.6988 \times 10^4 \, \text{Pa} \] 5. **Millimeters of Mercury (mm Hg)**: \[ 0.760 \, \text{atm} \times 760 \, \frac{\text{mm Hg}}{\text{atm}} = 577.6 \, \text{mm Hg} \] 6. **Inches of Mercury (in Hg)**: \[ 0.760 \, \text{atm} \times 29.92 \, \frac{\text{in Hg}}{\text{atm}} = 22.7392 \, \text{in Hg} \] **Conversion Table:** | atm | psi | kPa
**Pressure Conversion Practice**

An automobile tire is inflated to a pressure of **30.6 psi**. Express this pressure in the following units:

- Atmospheres (atm)
- Kilopascals (kPa)
- Inches of mercury (in Hg)
- Millimeters of mercury (mm Hg)
- Torr

**Hints for Conversion:**

- \(1 \text{ atm} = 101.3 \text{ kPa} = 29.92 \text{ in Hg} = 760 \text{ mm} = 760 \text{ torr}\)
- \( \text{Hg} = 14.69 \text{ psi}\)

**Conversion Table:**

| psi  | atm | kPa | in Hg | mm Hg | torr |
|------|-----|-----|-------|-------|------|
| 30.6 |     |     |       |       |      |

Use the conversion factors provided to complete the table.
Transcribed Image Text:**Pressure Conversion Practice** An automobile tire is inflated to a pressure of **30.6 psi**. Express this pressure in the following units: - Atmospheres (atm) - Kilopascals (kPa) - Inches of mercury (in Hg) - Millimeters of mercury (mm Hg) - Torr **Hints for Conversion:** - \(1 \text{ atm} = 101.3 \text{ kPa} = 29.92 \text{ in Hg} = 760 \text{ mm} = 760 \text{ torr}\) - \( \text{Hg} = 14.69 \text{ psi}\) **Conversion Table:** | psi | atm | kPa | in Hg | mm Hg | torr | |------|-----|-----|-------|-------|------| | 30.6 | | | | | | Use the conversion factors provided to complete the table.
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