Question

Tire pressure gauges are often calibrated in pounds per square inch. An automobile tire is inflated to a pressure of 28.3 psi. Express this pressure in atmospheres and in millimeters Hg.

Hint: 1 atm = 760 mmHg = 14.7 psi
Pressure = ___ atm
Pressure = ___ mmHg

Answer 1

The automobile tire pressure of 28.3 psi is equivalent to approximately 1.925 atmospheres (atm) and about 1463.00 millimeters of mercury (mmHg).

Step-by-step explanation:

To convert pressure in pounds per square inch (psi) to atmospheres (atm) and millimeters of mercury (mmHg), we can use the given conversion factors: 1 atm = 14.7 psi and 1 atm = 760 mmHg.

To express the automobile tire pressure of 28.3 psi in atmospheres, we divide the pressure by the value of 1 atm in psi:

Pressure (atm) = Pressure (psi) / Value of 1 atm in psi
Pressure (atm) = 28.3 psi / 14.7 psi
Pressure (atm) ≈ 1.925 atm (rounded to three decimal places)

To convert this pressure to mmHg, we take the pressure in atmospheres and multiply it by the value of 1 atm in mmHg:

Pressure (mmHg) = Pressure (atm) × Value of 1 atm in mmHg
Pressure (mmHg) ≈ 1.925 atm × 760 mmHg/atm
Pressure (mmHg) ≈ 1463.00 mmHg (rounded to two decimal places)