The flow rate of methanol at 20 °C through a horizontal pipe (internal diameter = 4 cm) is to be measured using an orifice meter (internal 'throat' diameter = 3 cm) equipped with a mercury manometer as shown in the accompanying figure. a. If the differential height of the two legs of the manometer is 11 cm, determine the pressure difference (in Pa) across the orifice meter (i.e. P₁ - P₂). b. Given that the appropriate equation for the flow rate (Q) through an orifice meter is: 2(P₁-P₂) p(1-B4) E1₂ €16 Mercury manometer 11 cm Q = A₂Cd where Ao is the cross-sectional area of the internal 'throat' opening of the orifice meter Ca is a dimensionless correction factor with an approximate value of 0.61 p is the density of the fluid passing through the orifice meter ß is the ratio of internal 'throat' diameter of the orifice meter to internal diameter of the pipe Determine the flow rate (in m³/s) of methanol through the horizontal pipe.

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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The flow rate of methanol at 20 °C through a horizontal pipe
(internal diameter = 4 cm) is to be measured using an orifice
meter (internal 'throat' diameter = 3 cm) equipped with a
mercury manometer as shown in the accompanying figure.
a. If the differential height of the two legs of the
manometer is 11 cm, determine the pressure difference
(in Pa) across the orifice meter (i.e. P₁ – P₂).
b. Given that the appropriate equation for the flow rate (Q)
through an orifice meter is:
2(P₁-P₂)
p(1-B4)
퇴보
F
11 cm
Mercury
manometer
Q = A₂Ca
where Ao is the cross-sectional area of the internal 'throat' opening of the orifice meter
Ca is a dimensionless correction factor with an approximate value of 0.61
p is the density of the fluid passing through the orifice meter
ß is the ratio of internal ‘throat' diameter of the orifice meter to internal diameter of the pipe
Determine the flow rate (in m³/s) of methanol through the horizontal pipe.
Transcribed Image Text:The flow rate of methanol at 20 °C through a horizontal pipe (internal diameter = 4 cm) is to be measured using an orifice meter (internal 'throat' diameter = 3 cm) equipped with a mercury manometer as shown in the accompanying figure. a. If the differential height of the two legs of the manometer is 11 cm, determine the pressure difference (in Pa) across the orifice meter (i.e. P₁ – P₂). b. Given that the appropriate equation for the flow rate (Q) through an orifice meter is: 2(P₁-P₂) p(1-B4) 퇴보 F 11 cm Mercury manometer Q = A₂Ca where Ao is the cross-sectional area of the internal 'throat' opening of the orifice meter Ca is a dimensionless correction factor with an approximate value of 0.61 p is the density of the fluid passing through the orifice meter ß is the ratio of internal ‘throat' diameter of the orifice meter to internal diameter of the pipe Determine the flow rate (in m³/s) of methanol through the horizontal pipe.
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