Worksheet: The Liquid Column Manometer

In this worksheet, we will practice describing the process of pressure measurement using the height of a liquid column in a U-shaped tube.

Q1:

Two gas reservoirs are connected by a U-shaped tube containing an oil. The oil fills the tubes to the levels shown in the diagram.

Which of the following correctly relates 𝑃 to 𝑃?

  • A𝑃=𝑃
  • B𝑃>𝑃
  • C𝑃<𝑃

Which of the following correctly relates 𝑃 to 𝑃?

  • A𝑃=𝑃
  • B𝑃<𝑃
  • C𝑃>𝑃

Which of the following correctly relates 𝑃 to 𝑃?

  • A𝑃=𝑃
  • B𝑃>𝑃
  • C𝑃<𝑃

Which of the following correctly relates 𝑃 to 𝑃?

  • A𝑃>𝑃
  • B𝑃<𝑃
  • C𝑃=𝑃

Q2:

The diagram shows a liquid column manometer connected at one end to a gas reservoir and at the opposite end to the atmosphere. The U-shaped tube contains mercury that has a density of 13,595 kg/m3. The top of the mercury column in contact with the atmosphere is vertically above the top of the mercury column in contact with the gas reservoir. The vertical distance between the column tops =45.0cm. Find the pressure of the gas in the reservoir. Use a value of 101.3 kPa for atmospheric pressure.

Q3:

The diagram shows a liquid column manometer connected at one end to a gas reservoir and at the opposite end to the atmosphere. Which of the following correctly relates the pressure of the gas and the pressure of the atmosphere, 𝑝gas and 𝑝atm?

  • A𝑝>𝑝gasatm
  • B𝑝<𝑝gasatm
  • C𝑝=𝑝gasatm

Q4:

Find the total pressure at the base of a column with a vertical height of 2.55 m containing a liquid of density 1,150 kg/m3. The top of the column is at sea level. Use a value of 101.3 kPa for the atmospheric pressure on the column.

  • A1.01×10Pa
  • B0.287×10Pa
  • C1.04×10Pa
  • D0.726×10Pa
  • E1.30×10Pa

Q5:

The diagram shows a U-shaped tube containing both water and oil, which are immiscible. Atmospheric pressure acts equally on the tops of the columns of water and oil. How does the ratio of the densities of the oil to the water, 𝜌𝜌oilwater, compare to the heights and ?

  • A𝜌𝜌=(+)oilwater
  • B𝜌𝜌=oilwater
  • C𝜌𝜌=oilwater
  • D𝜌𝜌=(+)(×)oilwater
  • E𝜌𝜌=(+)oilwater

Q6:

The diagram shows a liquid column manometer connected at one end to a gas reservoir and at the opposite end to the atmosphere. The pressure of the gas reservoir 𝑃=112.5gaskPa, and the atmospheric pressure 𝑃=101.3atmkPa. The U-shaped tube contains an oil. The top of the oil column in contact with the atmosphere is vertically above the top of the oil column in contact with the gas reservoir. The vertical distance between the column tops =95.15cm. What is the density of the oil?

Q7:

The diagram shows a liquid column manometer connected at opposite ends to two gas reservoirs. The pressures of the gas reservoirs are 𝑃=123.3kPa and 𝑃=110.1kPa. The U-shaped tube contains an oil with a density of 1,080 kg/m3. What is the vertical distance between the tops of the oil columns?

Q8:

The diagram shows a liquid column manometer connected at one end to a gas reservoir and at the opposite end to the atmosphere. Which of the following correctly relates the pressure of the gas and the pressure of the atmosphere, 𝑝gas and 𝑝atm?

  • A𝑝>𝑝gasatm
  • B𝑝<𝑝gasatm
  • C𝑝=𝑝gasatm

Q9:

The diagram shows a liquid column manometer connected at one end to a gas reservoir and at the opposite end to the atmosphere. Which of the following correctly relates the pressure of the gas and the pressure of the atmosphere, 𝑝gas and 𝑝atm?

  • A𝑝>𝑝gasatm
  • B𝑝=𝑝gasatm
  • C𝑝<𝑝gasatm

Q10:

The diagram shows a liquid column manometer connected at one end to a gas reservoir and at the opposite end to the atmosphere. The U-shaped tube contains mercury that has a density of 13,595 kg/m3. The top of the mercury column in contact with the atmosphere is vertically below the top of the mercury column in contact with the gas reservoir. The vertical distance between the column tops =25.0cm. Find the pressure of the gas in the reservoir. Use a value of 𝑃=101.3kPa for atmospheric pressure.

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