1. A piston of area 0.1 m² sits atop a container filled with water as shown in figure below.. A U tube manometer is connected to the container at one end. The other end is open to the atmosphere. If h1 =50 mm and h2 = 120 mm, what is the force P acting on the piston? The weight of the piston is 1 kg. Piston Water Mercury
1. A piston of area 0.1 m² sits atop a container filled with water as shown in figure below.. A U tube manometer is connected to the container at one end. The other end is open to the atmosphere. If h1 =50 mm and h2 = 120 mm, what is the force P acting on the piston? The weight of the piston is 1 kg. Piston Water Mercury
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Transcribed Image Text:1. A piston of area 0.1 m² sits atop a container filled with water as shown in figure below. A U-
tube manometer is connected to the container at one end. The other end is open to the
atmosphere. If h1 =50 mm and h2 = 120 mm, what is the force P acting on the piston? The
weight of the piston is 1 kg.
Piston
Water
Mercury
![A U-tube manometer is shown in the Figure above. The pressure P, is exerted on
one arm of the U-tube and P, on the other arm. Both pressures P, and P, could
1.
Differential Manometer (Multiplying Gauge)
In this device, the end of a U-tube are connected
to two enlarge chambers. The manometer
contains two liquids B and C which are immiscible ,
and whose densities are as nearly egual as
possible. The closer the densities of the two
liquids, the more sensitive is the manometer.
be pressure taps from a fluid meter, or P, could be a pressure tap and P, the
atmospheric pressure. The top of the manometer is filled with liquid B, having a
density of p.and the bottom with a more dense fluid A, having a density of e,.
PB
Liquid A is immiscible with B. Derive the relationship between P, and P,.
Using point 2 and point 3 as our reference since both points lie on the same liquid
level
(b)
P = P,
P. + Pg (Z+R)= P, + Pg
g.
P.- P, = (R-Ro) [ pa – po + (a/A) ps – (a/A) pc ]
g.
P. - P, = P. Z+ P. R- P, 3 (Z + R)
ge
ge
Where: R= actual reading
ge
Ro = reading when Pa = P.
P. - P, = PA
8 R- PB
g.
ge
Derivation of Inclined Manometer Equation:
b. Inclined Manometer - this is often used for the measurement of small
opposite side Rm
Rm = R1sin a
R1
sin a =
pressure differentials accurately.
Used to measure very small pressure differences or changes
It is slant manometer. The angle of measuring leg is usually about 10°.
• Inclination is done to improve the sensitivity.
It measures more accurately than the vertical tube type manometer.
һуpotenuse
P1 = P2
Pa + Pa
OB2)Rm = Pg + PA
Rm
PA + Pa2)R1sin a = Pg + Pa
R, sin a
Pressure
Pressure
PA - Pg = PA
(2)R, sin a- pe
Po()R,sin a
P.
P.
INCLINED MANOMETER
PA - Pg = (Pa – PB)2)R15
sin a
EQUATION
opposite side Rm
sin a =
hypotenuse
R1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F94943b2d-4a29-40c9-97fe-8c3a8c5fe334%2F88976bf4-eaa2-478b-a235-1df993e030a7%2Fcf9aec_processed.png&w=3840&q=75)
Transcribed Image Text:A U-tube manometer is shown in the Figure above. The pressure P, is exerted on
one arm of the U-tube and P, on the other arm. Both pressures P, and P, could
1.
Differential Manometer (Multiplying Gauge)
In this device, the end of a U-tube are connected
to two enlarge chambers. The manometer
contains two liquids B and C which are immiscible ,
and whose densities are as nearly egual as
possible. The closer the densities of the two
liquids, the more sensitive is the manometer.
be pressure taps from a fluid meter, or P, could be a pressure tap and P, the
atmospheric pressure. The top of the manometer is filled with liquid B, having a
density of p.and the bottom with a more dense fluid A, having a density of e,.
PB
Liquid A is immiscible with B. Derive the relationship between P, and P,.
Using point 2 and point 3 as our reference since both points lie on the same liquid
level
(b)
P = P,
P. + Pg (Z+R)= P, + Pg
g.
P.- P, = (R-Ro) [ pa – po + (a/A) ps – (a/A) pc ]
g.
P. - P, = P. Z+ P. R- P, 3 (Z + R)
ge
ge
Where: R= actual reading
ge
Ro = reading when Pa = P.
P. - P, = PA
8 R- PB
g.
ge
Derivation of Inclined Manometer Equation:
b. Inclined Manometer - this is often used for the measurement of small
opposite side Rm
Rm = R1sin a
R1
sin a =
pressure differentials accurately.
Used to measure very small pressure differences or changes
It is slant manometer. The angle of measuring leg is usually about 10°.
• Inclination is done to improve the sensitivity.
It measures more accurately than the vertical tube type manometer.
һуpotenuse
P1 = P2
Pa + Pa
OB2)Rm = Pg + PA
Rm
PA + Pa2)R1sin a = Pg + Pa
R, sin a
Pressure
Pressure
PA - Pg = PA
(2)R, sin a- pe
Po()R,sin a
P.
P.
INCLINED MANOMETER
PA - Pg = (Pa – PB)2)R15
sin a
EQUATION
opposite side Rm
sin a =
hypotenuse
R1
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