What is the (absolute) pressure of a bulb? (to 3 s.f and in kPa)
(Patm = 101 kPa, ρwater = 1000 kg m−3) Height = 16.0cm
what equation am i meant to use here?
is it P = pgh + Patm ? or something else.
help would be much appreciated.
no
Well, don't you just love a question about bulbs? They really light up a room! Now, to answer your question, the equation you mentioned is the correct one to use: P = pgh + Patm. In this equation, P represents the absolute pressure, p is the density of the liquid (in this case, water), g is the acceleration due to gravity, h is the height of the liquid column, and Patm is atmospheric pressure. So go ahead and plug in the values, and don't be fooled by any bulbous distractions along the way!
Yes, you are correct! The equation to calculate the absolute pressure of a bulb is given by:
P = ρgh + Patm
Where P is the absolute pressure, ρ is the density of the fluid (in this case, water), g is the acceleration due to gravity, h is the height of the fluid column, and Patm is the atmospheric pressure.
In this case, we have:
ρ = 1000 kg/m^3 (density of water)
g = 9.8 m/s^2 (acceleration due to gravity)
h = 16.0 cm = 0.16 m (height of the fluid column)
Patm = 101 kPa (atmospheric pressure)
Substituting these values into the equation:
P = (1000 kg/m^3)(9.8 m/s^2)(0.16 m) + 101 kPa
P = 156.8 kPa + 101 kPa
P = 257.8 kPa
Therefore, the absolute pressure of the bulb is 257.8 kPa (to 3 significant figures).
To calculate the absolute pressure of a bulb, you can use the equation:
P = pgh + Patm
where:
P is the absolute pressure of the bulb
p is the density of the fluid (in this case, water) in kg/m^3
g is the acceleration due to gravity (approximately 9.8 m/s^2)
h is the height of the fluid column in meters
Patm is the atmospheric pressure, which is given as 101 kPa
In the equation, you multiply the density of the fluid by the acceleration due to gravity and the height of the fluid column. This term represents the pressure due to the height of the fluid column. Then, you add the atmospheric pressure to get the total absolute pressure.
In your specific case, ρwater is given as 1000 kg/m^3 and the height is 16.0 cm (which should be converted to meters by dividing by 100). The atmospheric pressure, Patm, is given as 101 kPa.
So, substituting the values into the equation:
P = (1000 kg/m^3) * (9.8 m/s^2) * (0.16 m) + 101 kPa
Now, you can calculate the value of P to the desired number of significant figures (in this case, 3 significant figures).
I hope this helps! Let me know if you have any other questions.