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Mercury stands at a height of 76 CM in a barometric tube 86 CM long of area 1 cm^2 some air enters the tube and mercury columns is 67 CM long. Find volume of air introduced at atmospheric pressure?
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Mercury stands at a height of 76 CM in a barometric tube 86 CM long of...
Ans.
When the air leaks into the barometer, it manages to push down the mercury by 76 - 67 = 9 cm, hence the pressure it exerts is (13800)(10)(0.09) = 12420 Pa.
Now PV = nRT
V = cross section x height = 1 x (86 - 67) = 19 cm3 = 19 x 10-6 m3
T = 298 K .. room temperature
(12420)(19x10-6) = n(8.314)(298)
n = 95.25 x 10-6 mol of air enters into the barometer.
and using air density, 1.2 kg/m3 = 1.2/29 kmol/m3 = 1200/29 mol/m3 .. since molecular mass of air is 29.
Now the air volume is
95.25 x 10-6 mol/(1200/29 mol/m3 ) = 2.30 x 10-6 m3
= 2.30 cm3.
Hence 2.30 cm3 of atmospheric air enters into the tube.
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Mercury stands at a height of 76 CM in a barometric tube 86 CM long of...
Given data:
- Height of mercury column in the barometric tube (initially): 76 cm
- Length of the barometric tube: 86 cm
- Area of the barometric tube: 1 cm^2
- Height of mercury column in the barometric tube (after air enters): 67 cm
To find:
- Volume of air introduced at atmospheric pressure
Formula:
The volume of a substance is given by the equation:
Volume = Area x Height
Calculation:
1. Calculate the initial volume of the mercury column:
Volume of mercury column (initially) = Area x Height
Volume of mercury column (initially) = 1 cm^2 x 76 cm
Volume of mercury column (initially) = 76 cm^3
2. Calculate the final volume of the mercury column:
Volume of mercury column (after air enters) = Area x Height
Volume of mercury column (after air enters) = 1 cm^2 x 67 cm
Volume of mercury column (after air enters) = 67 cm^3
3. Calculate the volume of air introduced:
Volume of air introduced = Volume of mercury column (initially) - Volume of mercury column (after air enters)
Volume of air introduced = 76 cm^3 - 67 cm^3
Volume of air introduced = 9 cm^3
Answer:
The volume of air introduced at atmospheric pressure is 9 cm^3.
- Height of mercury column in the barometric tube (initially): 76 cm
- Length of the barometric tube: 86 cm
- Area of the barometric tube: 1 cm^2
- Height of mercury column in the barometric tube (after air enters): 67 cm
To find:
- Volume of air introduced at atmospheric pressure
Formula:
The volume of a substance is given by the equation:
Volume = Area x Height
Calculation:
1. Calculate the initial volume of the mercury column:
Volume of mercury column (initially) = Area x Height
Volume of mercury column (initially) = 1 cm^2 x 76 cm
Volume of mercury column (initially) = 76 cm^3
2. Calculate the final volume of the mercury column:
Volume of mercury column (after air enters) = Area x Height
Volume of mercury column (after air enters) = 1 cm^2 x 67 cm
Volume of mercury column (after air enters) = 67 cm^3
3. Calculate the volume of air introduced:
Volume of air introduced = Volume of mercury column (initially) - Volume of mercury column (after air enters)
Volume of air introduced = 76 cm^3 - 67 cm^3
Volume of air introduced = 9 cm^3
Answer:
The volume of air introduced at atmospheric pressure is 9 cm^3.
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Mercury stands at a height of 76 CM in a barometric tube 86 CM long of area 1 cm^2 some air enters the tube and mercury columns is 67 CM long. Find volume of air introduced at atmospheric pressure?
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Mercury stands at a height of 76 CM in a barometric tube 86 CM long of area 1 cm^2 some air enters the tube and mercury columns is 67 CM long. Find volume of air introduced at atmospheric pressure? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Mercury stands at a height of 76 CM in a barometric tube 86 CM long of area 1 cm^2 some air enters the tube and mercury columns is 67 CM long. Find volume of air introduced at atmospheric pressure? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mercury stands at a height of 76 CM in a barometric tube 86 CM long of area 1 cm^2 some air enters the tube and mercury columns is 67 CM long. Find volume of air introduced at atmospheric pressure?.
Mercury stands at a height of 76 CM in a barometric tube 86 CM long of area 1 cm^2 some air enters the tube and mercury columns is 67 CM long. Find volume of air introduced at atmospheric pressure? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Mercury stands at a height of 76 CM in a barometric tube 86 CM long of area 1 cm^2 some air enters the tube and mercury columns is 67 CM long. Find volume of air introduced at atmospheric pressure? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Mercury stands at a height of 76 CM in a barometric tube 86 CM long of area 1 cm^2 some air enters the tube and mercury columns is 67 CM long. Find volume of air introduced at atmospheric pressure?.
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