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A student reads a barometer in the laboratory and finds the prevailing atmospher

ID: 840150 • Letter: A

Question

A student reads a barometer in the laboratory and finds the prevailing atmospheric pressure to be 704 mm Hg. Express this pressure in atmospheres, kilopascals, torrs, pounds per square inch, and pascals.

Hint: 1 atm = 101.3 kPa = 760 torr = 760 mm Hg = 14.69 psi = 1.013 x 105 Pa

  704  

An automobile tire is inflated to a pressure of 29.5 psi. Express this pressure in atmospheres, kilopascals, inches Hg, millimeters Hg and torr.

Hint: 1 atm = 101.3 kPa = 29.92 in Hg = 760 mm Hg = 14.69 psi = 760 torr

  29.5  

The prevailing atmospheric pressure on a plateau in Colorado is 0.730 atm. Express this pressure in pounds per square inch, kilopascals, pascals, millimeters Hg, and inches Hg.

Hint: 1 atm = 101.3 kPa = 1.013x105 Pa = 760 mm Hg = 14.69 psi = 29.92 in Hg

  0.730  

mm Hg atm kPa torr psi Pa

  704  


Explanation / Answer

Pressure unit conversion

Given,

atmospheric pressure = 704 mmHg

In torr = 704 torr

In atm = 704/760 = 0.93 atm

In kPa = 0.93 atm x 101.3 kPa = 94.21 kPa

In Pa = 94.21 kPa x 1000 = 94210 atm

In psi = 0.93 atm x 14.69 = 13.662 psi

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atmospheric pressure = 29.5 psi

In torr = 1526.21 torr

In atm = 1526.21/760 = 2.01 atm

In kPa = 2.01 atm x 101.3 kPa = 203.61 kPa

In Pa = 203.61 kPa x 1000 = 203613 atm

In mmHg = 29.5 x 760/14.69 = 1526.21 mmHg

1 mm = 1/25.4 in

In in Hg = 1526.21 mmHg/25.4 = 60.10 inHg

---

Given,

atmospheric pressure = 0.730 atm

In mmHg = 0.730 x 760 = 554.8 mmHg

In torr = 554.8 torr

In kPa = 0.730 x 101.3 = 74.0 kPa

In Pa = 74 x 1000 = 74000 Pa

In psi = 14.69 x 0.730 = 10.724 psi

In in Hg = 554.8/25.4 = 21.84 in Hg