High School

If the atmospheric pressure is 100 kPa, and the gauge pressure in a tire is 300 kPa, then the absolute pressure in the tire is:

(a) 100 kPa
(b) 200 kPa
(c) 300 kPa
(d) 400 kPa

Answer :

The absolute pressure in the tire is (d) 400 kPa.

  • To calculate the absolute pressure in a tire when you know both the gauge pressure and the atmospheric pressure, you can use the formula:

[tex]P_{abs} = P_g + P_{atm}[/tex]

  • Where:

[tex]P_{abs}[/tex] is the absolute pressure.

[tex]P_g[/tex] is the gauge pressure.

[tex]P_{atm}[/tex] is the atmospheric pressure.

  • In this problem, we have the following values:

Atmospheric pressure, [tex]P_{atm} = 100 \text{ kPa}[/tex]

Gauge pressure in the tire, [tex]P_g = 300 \text{ kPa}[/tex]

  • Now, substituting the values into the formula:

[tex]P_{abs} = 300 \text{ kPa} + 100 \text{ kPa}[/tex]
[tex]P_{abs} = 400 \text{ kPa}[/tex]