The relationship between the e.m.f E generated by a thermocouple and the temperature T is given...
The relationship between the e.m.f E generated by a thermocouple and the temperature T is given by E = aT + bT2 , where a and b are constants. Linearise this equation for an operating point of temperature To.
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The relationship between the e.m.f E generated by a thermocouple
and the temperature T is given...
Solve the differential equation analytically Suppose a thermocouple is to be used to measure the temperature of a hot gas flowing through a duct. The thermocouple junction is initially at ambient tem...
Solve the differential equation analytically
Suppose a thermocouple is to be used to measure the temperature of a hot gas flowing through a duct. The thermocouple junction is initially at ambient temperature Ti-25°C before it is inserted into the gas stream. Hot duct wall Tsur 400°C Gas stream Junction, Tt) 1,-25°C, D p 8500 kg/m3 T 200°C 0.7 mm 400 Jkg.K Approximating the thermocouple junction as a sphere and using the lumped capacitance model, an energy balance on the thermocouple...
4) Consider the schematic diagram of a thermowell/thermocouple which is used to measure temperature (T) of...
4) Consider the schematic diagram of a thermowell/thermocouple which is used to measure temperature (T) of a fluid. The measured temperature Tm is recorded via thermocouple leads. The energy balance equation is given below. T. mc = UAT-T...) dt Here, m is the mass of the fluid in the thermowell, C is the specific heat, U is the heat transfer coefficient and A is the area of the thermowell wall. Page 2 of 2 (a) Derive the transfer function between...
1. The thermoelectric potential of a thermocouple is given: p = arº + be + c....
1. The thermoelectric potential of a thermocouple is given: p = arº + be + c. where is the temperature, o is the potential, and a, b, and c are empirical constants. Properly calibrated, a ferromagnetic material may be used as a thermometer. Susan, a mathematics and physics major, calibrates her ferromagnetic thermometer at three temperatures: Standard Material Liquid Nitrogen Dry Ice Triple Point of H20 Temperature (K) 77.36 194.65 273.16 Potential (mV) 0.0 0.06287 0.1126 Ligudna) Calculate empirical constant...
The Arrhenius equation shows the relationship between the rate constant k and the temperature T in...
The Arrhenius equation shows the relationship between the rate constant k and the temperature T in kelvins and is typically written as k=Ae−Ea/RT where R is the gas constant (8.314 J/mol⋅K), A is a constant called the frequency factor, and Ea is the activation energy for the reaction. However, a more practical form of this equation is lnk2k1=EaR(1T1−1T2) which is mathmatically equivalent to lnk1k2=EaR(1T2−1T1) where k1 and k2 are the rate constants for a single reaction at two different absolute...
The Arrhenius equation shows the relationship between the rate constant k and the temperature T in...
The Arrhenius equation shows the relationship between the rate constant k and the temperature T in kelvins and is typically written as k=Ae−Ea/RT where R is the gas constant (8.314 J/mol⋅K), A is a constant called the frequency factor, and Ea is the activation energy for the reaction. However, a more practical form of this equation is lnk2k1=EaR(1T1−1T2) which is mathmatically equivalent to lnk1k2=EaR(1T2−1T1) where k1 and k2 are the rate constants for a single reaction at two different absolute...
(i) Let the resistance R of a piece of wire be a thermometric property for measuring...
(i) Let the resistance R of a piece of wire be a thermometric property for measuring the temperature T. Assume that where a and b are constants. The resistance of the wire is found to be 512 when it is at the temperature of melting ice and 70 when it is at the temperature at which water boils at atmospheric pressure. If the ice point is taken as 100° and the boiling point as 5000 on a particular scale, what...
The Arrhenius equation shows the relationship between the rate constant k and the temperature T in...
The Arrhenius equation shows the relationship between the rate constant k and the temperature T in kelvins and is typically written as k=Ae−Ea/RT where R is the gas constant (8.314 J/mol⋅K), A is a constant called the frequency factor, and Ea is the activation energy for the reaction. However, a more practical form of this equation is lnk2k1=EaR(1T1−1T2) which is mathmatically equivalent to lnk1k2=EaR(1T2−1T1) where k1 and k2 are the rate constants for a single reaction at two different absolute...
Problem 3 A portable thermocouple is used to measure the air temperature inside of a sauna....
Problem 3 A portable thermocouple is used to measure the air temperature inside of a sauna. The sauna is unbearably hot and a person can only stay for 20 seconds, during which the temperature reading keeps on changing and a steady temperature is not reached. Leaving the thermocouple reader in the sauna for extended period of time has been deemed too risky for an electronics device Fortunately, a transient heat transfer model can be used to extract the temperature in...
The van der Waals equation gives a relationship between the pressure p (atm), volume V(L), and temperature T(K) for a real gas: .2 where n is the number of moles, R 0.08206(L atm)(mol K) is the gas c...
The van der Waals equation gives a relationship between the pressure p (atm), volume V(L), and temperature T(K) for a real gas: .2 where n is the number of moles, R 0.08206(L atm)(mol K) is the gas con- stant, and a (L- atm/mol-) and b (L/mol) are material constants. Determine the volume of 1.5 mol of nitrogen (a .39 L2 atm/mol2. b = 0.03913 L/mol) at temperature of 350 K and pressure of 70 atm.
The van der Waals equation...
Problem 3 (30 pts.) A J-type thermocouple is calibrated against an RTD standard within 20.02°C between...
Problem 3 (30 pts.) A J-type thermocouple is calibrated against an RTD standard within 20.02°C between 0º and 200°C. The emf is measured with a potentiometer having 0.005 mV resolution and an uncertainty of 0.045 mV over its operating range. The reference junction temperature is provided by an ice bath. The calibration procedure yields the following equation: T(°C) = 0.11 + 19.16V - 0.06V2, where the units of voltage V is mV. This second order curve fit has an error...
Solve the differential equation analytically
Suppose a thermocouple is to be used to measure the temperature of a hot gas flowing through a duct. The thermocouple junction is initially at ambient temperature Ti-25°C before it is inserted into the gas stream. Hot duct wall Tsur 400°C Gas stream Junction, Tt) 1,-25°C, D p 8500 kg/m3 T 200°C 0.7 mm 400 Jkg.K Approximating the thermocouple junction as a sphere and using the lumped capacitance model, an energy balance on the thermocouple...
4) Consider the schematic diagram of a thermowell/thermocouple which is used to measure temperature (T) of a fluid. The measured temperature Tm is recorded via thermocouple leads. The energy balance equation is given below. T. mc = UAT-T...) dt Here, m is the mass of the fluid in the thermowell, C is the specific heat, U is the heat transfer coefficient and A is the area of the thermowell wall. Page 2 of 2 (a) Derive the transfer function between...
1. The thermoelectric potential of a thermocouple is given: p = arº + be + c. where is the temperature, o is the potential, and a, b, and c are empirical constants. Properly calibrated, a ferromagnetic material may be used as a thermometer. Susan, a mathematics and physics major, calibrates her ferromagnetic thermometer at three temperatures: Standard Material Liquid Nitrogen Dry Ice Triple Point of H20 Temperature (K) 77.36 194.65 273.16 Potential (mV) 0.0 0.06287 0.1126 Ligudna) Calculate empirical constant...
(i) Let the resistance R of a piece of wire be a thermometric property for measuring the temperature T. Assume that where a and b are constants. The resistance of the wire is found to be 512 when it is at the temperature of melting ice and 70 when it is at the temperature at which water boils at atmospheric pressure. If the ice point is taken as 100° and the boiling point as 5000 on a particular scale, what...
Problem 3 A portable thermocouple is used to measure the air temperature inside of a sauna. The sauna is unbearably hot and a person can only stay for 20 seconds, during which the temperature reading keeps on changing and a steady temperature is not reached. Leaving the thermocouple reader in the sauna for extended period of time has been deemed too risky for an electronics device Fortunately, a transient heat transfer model can be used to extract the temperature in...
The van der Waals equation gives a relationship between the pressure p (atm), volume V(L), and temperature T(K) for a real gas: .2 where n is the number of moles, R 0.08206(L atm)(mol K) is the gas con- stant, and a (L- atm/mol-) and b (L/mol) are material constants. Determine the volume of 1.5 mol of nitrogen (a .39 L2 atm/mol2. b = 0.03913 L/mol) at temperature of 350 K and pressure of 70 atm.
The van der Waals equation...
Problem 3 (30 pts.) A J-type thermocouple is calibrated against an RTD standard within 20.02°C between 0º and 200°C. The emf is measured with a potentiometer having 0.005 mV resolution and an uncertainty of 0.045 mV over its operating range. The reference junction temperature is provided by an ice bath. The calibration procedure yields the following equation: T(°C) = 0.11 + 19.16V - 0.06V2, where the units of voltage V is mV. This second order curve fit has an error...
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