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The relationship between the total molar flow rate of a gas and its volumetric flow rate is, to a good approximation, given by a form of the ideal gas equation of state: n kmoly 12.186 P(atm) V (m³/s) T (K) where P is the absolute pressure of the gas. a) Derive the resistance thermometer calibration formula for the temperature, T (°C) in terms of r (ohm). b) Convert the given gas law expression to an expression for ń (kmol/min) in terms of P (mm Hg), T (°C), and V (m³/min). c) Calculate the temperatures and pressures at points 1, 2, and 3.

The relationship between the total molar flow rate of a gas and its volumetric flow rate is, to a good approximation, given by a form of the ideal gas equation of state: n kmoly 12.186 P(atm) V (m³/s) T (K) where P is the absolute pressure of the gas. a) Derive the resistance thermometer calibration formula for the temperature, T (°C) in terms of r (ohm). b) Convert the given gas law expression to an expression for ń (kmol/min) in terms of P (mm Hg), T (°C), and V (m³/min). c) Calculate the temperatures and pressures at points 1, 2, and 3.

Introduction to Chemical Engineering Thermodynamics
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 relationship between the total molar flow rate of a gas and its volumetric flow rate is, to a good approximation, given by a form of the ideal gas equation of state: kmol (km). where P is the absolute pressure of the gas. a) Derive the resistance thermometer calibration formula for the temperature, T (°C) in terms of r (ohm). 12.186 P(atm) V (m³/s) T (K) n b) Convert the given gas law expression to an expression for ń (kmol/min) in terms of P (mm Hg), T (°C), and V (m³/min). c) Calculate the temperatures and pressures at points 1, 2, and 3. d) Calculate the molar flow rate of the combined gas stream. e) Calculate the reading of flowmeter 3 in m³/min. f) Calculate the total mass flow rate and the mass fraction of the methane at point 3.
Transcribed Image Text:The relationship between the total molar flow rate of a gas and its volumetric flow rate is, to a good approximation, given by a form of the ideal gas equation of state: kmol (km). where P is the absolute pressure of the gas. a) Derive the resistance thermometer calibration formula for the temperature, T (°C) in terms of r (ohm). 12.186 P(atm) V (m³/s) T (K) n b) Convert the given gas law expression to an expression for ń (kmol/min) in terms of P (mm Hg), T (°C), and V (m³/min). c) Calculate the temperatures and pressures at points 1, 2, and 3. d) Calculate the molar flow rate of the combined gas stream. e) Calculate the reading of flowmeter 3 in m³/min. f) Calculate the total mass flow rate and the mass fraction of the methane at point 3.
Q3: Streams of methane and air (79 mole% N2, the balance O2) are combined at the inlet of a combustion furnace preheater. The pressures of each stream are measured with open-end mercury manometers, the temperatures are measured with resistance thermometers, and the volumetric flow rates are measured with orifice meters. Measurement point 1 Data: Flowmeter 1: V₁ = 947 m³/h Flowmeter 2: V₂ = 195 m³/min CH4 Air- PREHEATER Manometer 1: h₁ = 232 mm Manometer 2: h₂ = 156 mm Manometer 3: h3 = 74 mm Resistance thermometer 1. r₁ = 26:159 ohms Resistance thermometer 2. r₂ = 26:157 ohms Resistance thermometer 3. r3 = 44:789 ohms Atmospheric pressure: A sealed-end mercury manometer reads h = 29.76 inches Measurement point 2 Measurement point 3 The resistance thermometers were calibrated by measuring their resistances at the freezing and boiling points of water, with the following results: T = 0 °C: r = 23.624 ohms T = 100 °C: r = 33.028 ohms A straight-line relationship between T and r may be assumed.
Transcribed Image Text:Q3: Streams of methane and air (79 mole% N2, the balance O2) are combined at the inlet of a combustion furnace preheater. The pressures of each stream are measured with open-end mercury manometers, the temperatures are measured with resistance thermometers, and the volumetric flow rates are measured with orifice meters. Measurement point 1 Data: Flowmeter 1: V₁ = 947 m³/h Flowmeter 2: V₂ = 195 m³/min CH4 Air- PREHEATER Manometer 1: h₁ = 232 mm Manometer 2: h₂ = 156 mm Manometer 3: h3 = 74 mm Resistance thermometer 1. r₁ = 26:159 ohms Resistance thermometer 2. r₂ = 26:157 ohms Resistance thermometer 3. r3 = 44:789 ohms Atmospheric pressure: A sealed-end mercury manometer reads h = 29.76 inches Measurement point 2 Measurement point 3 The resistance thermometers were calibrated by measuring their resistances at the freezing and boiling points of water, with the following results: T = 0 °C: r = 23.624 ohms T = 100 °C: r = 33.028 ohms A straight-line relationship between T and r may be assumed.
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