A vacuum gage connected to a chamber reads 39 kPa at a location where the atmospheric pressure is 92 kPa. Determine the absolute pressure in the chamber?

Absolute pressure is a pressure value referred to absolute zero or vacuum. This value indicates the total pressure to which a body or system (the chamber in this situation) is subjected, considering the total pressure acting on it.

In this sense, the equation that will be useful in this case is:

[tex] P_{atmospheric}= P_{absolute} + P_{vacuum}[/tex] (1)

Where:

[tex]P_{atmospheric}=92 kPa[/tex] is the atmospheric pressure

[tex]P_{vacuum}=39 kPa[/tex] is the vacuum pressure

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

Isolating [tex]P_{absolute}[/tex] from (1):

[tex]P_{absolute}=P_{atmospheric} - P_{vacuum}[/tex] (2)

[tex]P_{absolute}=92 kPa - 39 kPa[/tex] (3)

Finally:

[tex]P_{absolute}=53 kPa=53(10)^{3} Pa[/tex] This is the absolute pressure in the chamber