What is the pressure inside the drop of mercury of radius 3.00 mm at room temperature? Surface tension of mercury at that temperature (20°C) is 4.65 × 10^–1 N m^–1. The atmospheric pressure is 1.01 × 10⁵ Pa. Also give the excess pressure inside the drop.

Solution

Radius of the mercury drop, r = 3.00 mm = 3 × 10^–3 m
Surface tension of mercury, S = 4.65 × 10^–1 N m^–1
Atmospheric pressure, P₀ = 1.01 × 10⁵ Pa
Total pressure inside the mercury drop = Excess pressure inside mercury + Atmospheric pressure

equals space fraction numerator 2 straight S over denominator straight r space plus space straight P subscript straight o end fraction equals space fraction numerator 2 space cross times space 4.65 space cross times space 10 to the power of negative 1 space end exponent over denominator left parenthesis 3 space cross times space 10 to the power of negative 3 end exponent right parenthesis end fraction plus space 1.01 space cross times 10 to the power of 5 space equals space 1.0131 space cross times space 10 to the power of 5 equals 1.01 space cross times space 10 to the power of 5 space end exponent Pa Excess space pressure space equals space fraction numerator 2 straight S over denominator straight r end fraction equals fraction numerator 2 space cross times space 4.65 space cross times space 10 to the power of negative 1 end exponent over denominator left parenthesis 3 space cross times space 10 to the power of negative 3 end exponent right parenthesis end fraction space equals space 310 space Pa

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Mechanical Properties Of Fluids

What is the pressure inside the drop of mercury of radius 3.00 mm at room temperature? Surface tension of mercury at that temperature (20°C) is 4.65 × 10^–1 N m^–1. The atmospheric pressure is 1.01 × 10⁵ Pa. Also give the excess pressure inside the drop.

Some More Questions From Mechanical Properties of Fluids Chapter

What is an ideal liquid?

Do liquids exert pressure?

Define pressure.

What is the direction of pressure?

What is the direction in which pressure exerts force on the walls of a container?

What is the SI unit of pressure?

You have two identical glass flasks. One is open mouthed and other is filled with helium and sealed. Which of the two will weigh more?

A cylinder of length l and area of cross section a is filled with liquid of density ρ to a height h. What is the pressure at the bottom due to height column of liquid?

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Mechanical Properties Of Fluids

What is the pressure inside the drop of mercury of radius 3.00 mm at room temperature? Surface tension of mercury at that temperature (20°C) is 4.65 × 10–1 N m–1. The atmospheric pressure is 1.01 × 105 Pa. Also give the excess pressure inside the drop.

Some More Questions From Mechanical Properties of Fluids Chapter

What is an ideal liquid?

Do liquids exert pressure?

Define pressure.

What is the direction of pressure?

What is the direction in which pressure exerts force on the walls of a container?

What is the SI unit of pressure?

You have two identical glass flasks. One is open mouthed and other is filled with helium and sealed. Which of the two will weigh more?

A cylinder of length l and area of cross section a is filled with liquid of density ρ to a height h. What is the pressure at the bottom due to height column of liquid?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

What is the pressure inside the drop of mercury of radius 3.00 mm at room temperature? Surface tension of mercury at that temperature (20°C) is 4.65 × 10^–1 N m^–1. The atmospheric pressure is 1.01 × 10⁵ Pa. Also give the excess pressure inside the drop.