A vacuum gage connected to a tank reads 30 kPa at a location where the barometric reading is 755 mmHg. Determine the absolute pressure in the tank in atm.

Respuesta :

Answer:

Absolute pressure=70.72 KPa

Explanation:

Given that Vacuum gauge pressure= 30 KPa

Barometer reading =755 mm Hg

We know that barometer always reads atmospheric pressure at given situation.So  atmospheric pressure is equal to  755 mm Hg.

We know that P= ρ g h

Density of [tex]Hg=13600 \frac{kg}{m^3}[/tex]

So P=13600 x 9.81 x 0.755

P=100.72 KPa

We know that

Absolute pressure=atmospheric pressure + gauge pressure

But here given that 30 KPa is a Vacuum pressure ,so we will take it as negative.

Absolute pressure=atmospheric pressure + gauge pressure

Absolute pressure=100.72 - 30   KPa

So

Absolute pressure=70.72 KPa

Lanuel

The absolute pressure in this tank at an atmospheric pressure of 755 mmHg is equal to 70.658 kPa.

Given the following data:

Vacuum pressure = 30 kPa.

Atmospheric pressure = 755 mmHg.

How to calculate the absolute pressure.

In order to determine the absolute pressure in this tank, we would first of all conver the value for the atmospheric pressure in mmHg to kPa.

Conversion:

1 mmHg = 0.1333 kPa.

755 mmHg = 100.658 kPa.

Mathematically, absolute pressure is given by this formula:

[tex]P_{abs}=P+\rho gh\\\\P_{abs}=P_{atm}-P_{vacuum}[/tex]

Substituting the given parameters into the formula, we have;

[tex]P_{abs}=100.658-30\\\\P_{abs}=70.658[/tex]

Absolute pressure = 70.658 kPa.

Read more on absolute pressure here: brainly.com/question/10013312