College

What is the absolute pressure if the gauge pressure of a gas is 114 kPa?

A. 220 kPa
B. 14 kPa
C. 50 kPa
D. 214 kPa

Answer :

To calculate the absolute pressure from the gauge pressure, we use the relation

[tex]$$
P_{\text{absolute}} = P_{\text{gauge}} + P_{\text{atmospheric}}.
$$[/tex]

We are given a gauge pressure of [tex]$114\text{ kPa}$[/tex] and we assume the atmospheric pressure to be [tex]$100\text{ kPa}$[/tex]. Substituting these values into the equation, we get

[tex]$$
P_{\text{absolute}} = 114\text{ kPa} + 100\text{ kPa} = 214\text{ kPa}.
$$[/tex]

Thus, the absolute pressure is [tex]$214\text{ kPa}$[/tex], which corresponds to option D.