If the pressure in a gas container that is connected to an open-end U-tube manometer is 116 kPa and the pressure of the atmosphere at the open end of the tube is 752 mm Hg, the level of mercury in the tube will a. be 870 mm higher in the arm open to the atmosphere.
b. be 870 mm higher in the arm connected to the gas cylinder.
c. be 118 mm higher in the arm connected to the gas cylinder.
d. be 118 mm higher in the arm open to the atmosphere.

Answers

Answer 1
Answer:

P = absolute pressure in gas container connected to open-end U-tube = 116 kPa = 116000 Pa

we know that, 1 atm = 101325 Pa   and  1 atm = 760 mm of Hg , hence

P = 116000 Pa  (1 atm/101325 Pa) (760 mm of Hg/1 atm)

P = (116000 x 760/101325)  mm of Hg

P = 870.07 mm of Hg

P₀ = atmospheric pressure = 752 mm Hg

Level of mercury is given as

P' = P - P₀

inserting the values

P' = 870.07 - 752

P' = 118 mm

so correct choice is

d. be 118 mm higher in the arm open to the atmosphere.


Answer 2
Answer:

Final answer:

The level of mercury in the tube would be 118 mm higher in the arm connected to the gas cylinder, as determined by converting kPa to mm Hg and calculating the pressure difference between the gas pressure and atmospheric pressure.

Explanation:

In order to solve this problem, we need to convert all units to the metric units system for consistency. First, let's convert the pressure of the atmosphere from mm Hg to kilopascals (kPa), knowing that one atmosphere which equals 760 mm Hg is approximately 101.3 kPa.

So, the atmospheric pressure is (752 mm Hg / 760 mm Hg) * 101.3 kPa ≈ 100.4 kPa.

The difference between the gas pressure and the atmospheric pressure gives the pressure of the mercury in the tube, since pressures are additive. So, the pressure difference is 116 kPa - 100.4 kPa = 15.6 kPa.

Finally, we convert this pressure in kPa back to mm Hg to get the height difference. By doing the inverse conversion, we get 15.6 kPa * (760 mm Hg / 101.3 kPa) ≈ 118 mm Hg. Therefore, the level of mercury in the tube will be 118 mm higher in the arm connected to the gas cylinder, corresponding to the option

c. be 118 mm higher in the arm connected to the gas cylinder.

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Answers

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Answers

Answer:

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Explanation:

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Answers

Answer

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Explanation

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