A barometer reads atmospheric pressure to be 75.2 cm of Hg. A confined gas has a gauge pressure of +14.8 cm of Hg. Calculate gauge and absolute pressure on the gas in Pascals.
I'm using the equation P=pgh with 13,600 kg/m3 for density of Hg, 9.8m/s2 as g, and the height given but I keep getting 1.02 x 10^5 Pa which is wrong. Can someone help me out?
gauge pressure= .148mHg*103kPa/.760mHg
absolutePressure= (.148+.752)mHg*103kPa/.760mHg
check my thinking
To calculate the gauge and absolute pressure on the gas, you need to consider the atmospheric pressure indicated by the barometer.
First, let's calculate the gauge pressure on the gas. Gauge pressure is the pressure of the gas relative to atmospheric pressure.
Given:
Atmospheric pressure = 75.2 cm Hg
Gas gauge pressure = +14.8 cm Hg
To convert these measurements to pascals, we need to use the conversion factor: 1 cm Hg = 1333.22 Pa.
Converting atmospheric pressure:
Atmospheric pressure = 75.2 cm Hg * 1333.22 Pa/cm Hg = 100,079.64 Pa
Converting gas gauge pressure:
Gauge pressure = 14.8 cm Hg * 1333.22 Pa/cm Hg = 19,692.55 Pa
Now, let's calculate the absolute pressure on the gas. Absolute pressure is the sum of the gauge pressure and atmospheric pressure.
Absolute pressure on the gas = Atmospheric pressure + Gauge pressure
Absolute pressure on the gas = 100,079.64 Pa + 19,692.55 Pa = 119,772.19 Pa
So, the gauge pressure on the gas is 19,692.55 Pa, and the absolute pressure on the gas is 119,772.19 Pa.