Answer :
Final answer:
To find the absolute pressure, you add the atmospheric pressure to the gauge pressure. The absolute pressure corresponding to a gauge pressure reading of 200 kPa with an atmospheric pressure of 90 kPa is 290 kPa.
Explanation:
The gauge pressure measured by the pressure gauge is the pressure of a system above the atmospheric pressure. Since the atmospheric pressure at sea level is typically about 101.3 kPa, we would usually add this to the gauge pressure to get the absolute pressure. However, in this case, the atmospheric pressure is given as 90 kPa, which is lower than the typical value. To compute the absolute pressure, we add the atmospheric pressure (90 kPa) to the gauge pressure (200 kPa), resulting in the total absolute pressure.
Therefore, the absolute pressure corresponding to the 200 kPa gauge pressure reading is:
Pabs = Pg + Patm
= 200 kPa + 90 kPa
= 290 kPa.
