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The prevailing atmospheric pressure on a plateau in Colorado is 0.706 atm. Express this pressure in the following units:

- Pounds per square inch (psi)
- Kilopascals (kPa)
- Pascals (Pa)
- Millimeters of mercury (mm Hg)
- Inches of mercury (in Hg)

**Hint:**

1 atm = 101.3 kPa = 1.013×10\(^5\) Pa = 760 mm Hg = 14.69 psi = 29.92 in Hg

Convert 0.706 atm to:

- ____ psi
- ____ kPa
- ____ Pa
- ____ mm Hg
- ____ in Hg

Answer :

Final answer:

The atmospheric pressure of 0.706 atm on a Colorado plateau can be converted to 10.38 psi, 71.53 kPa, 71,535 Pa, 536.56 mm Hg, and 21.12 in Hg, using standard atmospheric pressure equivalents.

Explanation:

The prevailing atmospheric pressure on a plateau in Colorado is given as 0.706 atm. Converting this pressure into various units is a common task in physics and involves using conversion factors. Here are the conversions:

  • 0.706 atm to psi: 0.706 atm x 14.69 psi/atm = 10.37834 psi (pounds per square inch)
  • 0.706 atm to kPa: 0.706 atm x 101.325 kPa/atm = 71.53455 kPa (kilopascals)
  • 0.706 atm to Pa: 0.706 atm x 101325 Pa/atm = 71534.55 Pa (pascals)
  • 0.706 atm to mm Hg (millimeters of mercury): 0.706 atm x 760 mm Hg/atm = 536.56 mm Hg
  • 0.706 atm to in Hg (inches of mercury): 0.706 atm x 29.92 in Hg/atm = 21.12352 inHg

To express the answers accurately, they should be rounded according to the significant figures of the initial data. The pressure conversions are based on standard atmospheric pressure equivalents.

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Rewritten by : Barada

Answer:

1. 10.37114 psi

2. 71.5178 KPa

3. 71517.8 Pa

4. 536.56 mmHg.

5. 21.12352 inHg

Explanation:

From the question given,

Pressure = 0.706 atm

The pressure in other units of measurement is obtained as follow:

1. Pressure in Psi

1 atm = 14.69 psi

Therefore, 0.706 atm = 0.706 x 14.69 = 10.37 psi

2. Pressure in KPa

1 atm = 101.3 kPa

Therefore, 0.706 atm = 0.706 x 101.3 = 71.5178 KPa

3. Pressure in Pa

1 atm = 1.013x10^5 Pa

Therefore, 0.706 atm = 0.706 x 1.013x10^5 = 71517.8 Pa

4. Pressure in mmHg

1 atm = 760mmHg

Therefore, 0.706 atm = 0.706 x 760 = 536.56 mmHg

5. Pressure in inHg

1 atm = 29.92 inHg

Therefore, 0.706 atm = 0.706 x 29.92 = 21.12352 inHg