a gas bulb is connected to an open end manometer. the pressure in the bulb is .355 torr MORE than atmospheric pressure. If the manometer is filled with mineral oil (density .888 g/cm^3) then what wil be the difference in height between the two sides of the manometer? (density of mercury is 13.6 g/cm^3)

the answer is 5.44, but why?

im not sure.. but im also trying to figure this out

try going on you tube and search for "manometer bulb"... it helped a bit

To find the difference in height between the two sides of the manometer, we can use the equation for pressure difference:

ΔP = ρgh

Where:
ΔP is the pressure difference,
ρ is the density of the fluid (oil or mercury in this case),
g is the acceleration due to gravity,
and h is the height difference.

In this case, the bulb is connected to an open-end manometer filled with mineral oil. We know that the pressure in the bulb is 0.355 torr more than atmospheric pressure. We'll assume that atmospheric pressure is 1 atm or 760 torr.

First, we need to convert the pressure difference from torr to atm:
ΔP = (0.355 torr) / (760 torr/atm) = 0.000467 atm

Now, we can equate the pressure difference to the difference in height between the two sides of the manometer using the equation:

ΔP = ρgh

We'll use the density of mineral oil (ρ = 0.888 g/cm^3) and the density of mercury (ρ = 13.6 g/cm^3) to calculate the difference in height h.

For the oil side of the manometer:
ΔP = ρ_οil * g * h_οil
0.000467 atm = (0.888 g/cm^3) * (9.8 m/s^2) * h_οil

For the mercury side of the manometer:
ΔP = ρ_mercury * g * h_mercury
0.000467 atm = (13.6 g/cm^3) * (9.8 m/s^2) * h_mercury

Now we can solve for the heights h_οil and h_mercury.

h_οil = (0.000467 atm) / [(0.888 g/cm^3) * (9.8 m/s^2)] = 0.000053 m = 0.053 mm (approximately)

h_mercury = (0.000467 atm) / [(13.6 g/cm^3) * (9.8 m/s^2)] = 0.000034 m = 0.034 mm (approximately)

Therefore, the difference in height between the two sides of the manometer is approximately 0.053 mm - 0.034 mm = 0.019 mm, which rounds to 0.02 mm or 0.02 cm.

So, the answer should be 0.02, not 5.44 as stated.