Calculate Absolute Pressure ?

In summary, to calculate the absolute pressure at the deepest part of a lake with an average temperature of 10°C and a maximum depth of 35m, use the formula Pabs = Ps + Density * specific weight * Height. With a barometric pressure of 598mmHg, the absolute pressure can be determined to be 343 * 106 PA.
  • #1
Macca1986
3
0

Homework Statement



Calculate Absolute Pressure?
(1) A Lake has average temperature of 10°C and a maximum depth of 35m. The barometric pressure at the lake is 598mmHg. At the deepest part of the lake, determine the absolute pressure in Pascals. Specific weight of the water in the lake 10degreeC is 9.804Kn/m 3


Homework Equations



Pabs = Ps + Density * specific weight * Height

The Attempt at a Solution



598 mmHg = 79.72 KPA

79.72 * 103 PA + ( 1000 kg/m3 * 9.804 * 103 pa/m3 *10 mt)

Pabs = 98 * 106 PA
 
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  • #2
Welcome to PF!

Hi Macca1986! Welcome to PF! :smile:
Macca1986 said:
79.72 * 103 PA + ( 1000 kg/m3 * 9.804 * 103 pa/m3 *10 mt)

erm :redface:

35 metres! :rolleyes:
 
  • #3
Thanks for the help, silly mistake! :uhh:

79.72 * 103 + (1000 * 9.804 * 103 * 35)

=343 * 106 PA

am on the right track?
 
  • #4
(just got up :zzz:)

looks good! :smile:
 
  • #5
+ 980*106 PA

Pabs = 1078 * 106 PA

The absolute pressure at the deepest part of the lake is 1078 * 106 PA. This takes into account the atmospheric pressure, the density of the water, and the specific weight of the water.
 

What is absolute pressure and how is it calculated?

Absolute pressure is the total pressure exerted by a fluid, including atmospheric pressure. It is calculated by adding the atmospheric pressure to the gauge pressure, which is the pressure measured by a pressure gauge.

What is the difference between absolute pressure and gauge pressure?

The main difference between absolute pressure and gauge pressure is that absolute pressure takes into account the atmospheric pressure, while gauge pressure does not. Gauge pressure is measured relative to atmospheric pressure, while absolute pressure is measured relative to a perfect vacuum.

What units are used to measure absolute pressure?

Absolute pressure is typically measured in units of Pascals (Pa) or pounds per square inch (psi). Other common units include atmospheres (atm), bars (bar), and millimeters of mercury (mmHg).

How is absolute pressure used in real-world applications?

Absolute pressure is used in a wide range of scientific and engineering applications, including weather forecasting, aviation, and scuba diving. It is also important in industrial processes, such as monitoring and controlling pressure in pipelines and chemical reactions.

Can absolute pressure ever be negative?

No, absolute pressure cannot be negative. Since it is a measure of the total pressure exerted by a fluid, it must always be a positive value. However, gauge pressure can be negative if it is measured below atmospheric pressure.

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