Physics question on absolute pressure?

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To calculate absolute pressure from a gauge reading of -295 mmHg, atmospheric pressure of 101.7 kN/m^2, and vapor pressure of 2.8 kN/m^2, the correct approach involves understanding the relationship between these pressures. The gauge pressure is converted to 39.36 kN/m^2, and the equation p_gauge = p_absolute - atmospheric pressure is applied. The discussion highlights the importance of factoring in vapor pressure, which contributes to the total atmospheric pressure. The final calculation proposed by one participant, adding gauge pressure to atmospheric pressure and subtracting vapor pressure, yields a result of 59.34 kN/m^2. The conversation emphasizes the need for clarity on whether the vapor pressure refers to water vapor or another substance, as this affects the overall pressure calculation.
delfinofrank
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Hey, here's the question:

"If a gauge reads -295mmHg where athmospheric pressure is 101.7 kn/m^2 and the vapor pressure is 2.8 kN/m^2, what is the absolute pressure?"

I converted the gauge pressure to 39.36 kN/m^2 but where do i go from here? I know the equation is p_gauge= p_absolute - atmospheric, but where do I factor in the vapor pressure?!

Please help! Thank you :)
 
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The water vapor pressure in the atmsosphere contributes to its atmospheric pressure. So if the atmospheric and gauge pressures are given, the absolute pressure is__________??
 
Are you sure it's water vapor pressure or could it be the vapor pressure of the mercury?
 
What I did was I added the gauge pressure and the athmospheric pressure and then subtracted the vapor pressure to get 59.34 kN/m^3. is that right?
 
When a pressure reading is given in mmHg, it is just an alternative unit of pressure which can be (like you did) converted to paschals or atmospehres, etc. In the US, atmospheric pressure is usually expressed in inches of Hg, or millibars, and there is no mercury in the air (or at leasts not much)!

I interpret vapor pressure as water vapor pressure in the atmosphere, although there are other vapors present, like oxygen and nitrogen, the sum total of which contributes to the atmospheric pressure. Thus, I do not agree with your answer.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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