3.63. WP Convert the temperatures in Parts (a) and (b) and temperature intervals in Parts (c) and (d): a. T = 85°F to °R, °C, K b. T -10°C to K, °F, °R c. AT = 85° C to K, °F, °R d. AT = 150°R to °F,...


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3.63. WP Convert the temperatures in Parts (a) and (b) and temperature intervals in Parts (c) and (d):<br>a. T = 85°F to °R, °C, K<br>b. T<br>-10°C to K, °F, °R<br>c. AT = 85° C to K, °F, °R<br>d. AT = 150°R to °F, °C, K<br>3.64. WP A temperature scale that never quite caught on was formulated by the Austrian chemist Johann Sebastian Farblunget. The reference points on this scale were 0°FB, the<br>temperature below which Farblunget's postnasal drip began to bother him, and 1000°FB, the boiling point of beer. Conversions between °C and °FB can be accomplished with the<br>expression<br>T( C) = 0.0940T(°FB) + 4.00<br>Louis Louis, Farblunget's French nephew, attempted to follow in his uncle's footsteps by formulating his own temperature scale. He defined the degree Louie using as reference<br>conditions the optimum serving temperature of marinated snails (100°L corresponding to 15°C) and the temperature at which the elastic in his briefs began to relax (1000°L<br>corresponding to 43°C).<br>a. At what temperature in °F does beer boil?<br>Answer<br>b. What is the temperature interval of 10.0 Farblunget degrees equivalent to in °C, K, °F, and °R?<br>c. Derive equations for T( C) in terms of T( L)(see Example 3.5-1) and T( L) in terms of T( FB).<br>d. What is the boiling point of ethane at 1 atm (Table B.1) in °F, K, °R, °FB, and °L?<br>e. What is a temperature interval of 50.0 Louie degrees equivalent to in Celsius degrees, Kelvin degrees, Fahrenheit degrees, Rankine degrees, and Farblunget degrees?<br>3.65. WP A thermocouple is a temperature-measurement device that consists of two dissimilar metal wires joined at one end. An oversimplified diagram follows.<br>Metal 1<br>POTENTIOMETER<br>V(mV)<br>Metal 2<br>A voltage generated at the metal junction is read on a potentiometer or millivoltmeter. When certain metals are used, the voltage varies linearly with the temperature at the junction of<br>the two metals:<br>V(mV) = aT(°C) + b<br>An iron-constantan thermocouple (constantan is an alloy of copper and nickel) is calibrated by inserting its junction in boiling water and measuring a voltage V = 5.27 mV , and then<br>inserting the junction in silver chloride at its melting point and measuring V = 24.88 mV.<br>a. Derive the linear equation for V(mV) in terms of T( C). Then convert it to an equation for T in terms of V.<br>b. If the thermocouple is mounted in a chemical reactor and the voltage is observed to go from 10.0 mV to 13.6 mV in 20 s, what is the average value of the rate of change of<br>temperature, dT/dt , during the measurement period?<br>c. State the principal benefits and disadvantages of thermocouples.<br>

Extracted text: 3.63. WP Convert the temperatures in Parts (a) and (b) and temperature intervals in Parts (c) and (d): a. T = 85°F to °R, °C, K b. T -10°C to K, °F, °R c. AT = 85° C to K, °F, °R d. AT = 150°R to °F, °C, K 3.64. WP A temperature scale that never quite caught on was formulated by the Austrian chemist Johann Sebastian Farblunget. The reference points on this scale were 0°FB, the temperature below which Farblunget's postnasal drip began to bother him, and 1000°FB, the boiling point of beer. Conversions between °C and °FB can be accomplished with the expression T( C) = 0.0940T(°FB) + 4.00 Louis Louis, Farblunget's French nephew, attempted to follow in his uncle's footsteps by formulating his own temperature scale. He defined the degree Louie using as reference conditions the optimum serving temperature of marinated snails (100°L corresponding to 15°C) and the temperature at which the elastic in his briefs began to relax (1000°L corresponding to 43°C). a. At what temperature in °F does beer boil? Answer b. What is the temperature interval of 10.0 Farblunget degrees equivalent to in °C, K, °F, and °R? c. Derive equations for T( C) in terms of T( L)(see Example 3.5-1) and T( L) in terms of T( FB). d. What is the boiling point of ethane at 1 atm (Table B.1) in °F, K, °R, °FB, and °L? e. What is a temperature interval of 50.0 Louie degrees equivalent to in Celsius degrees, Kelvin degrees, Fahrenheit degrees, Rankine degrees, and Farblunget degrees? 3.65. WP A thermocouple is a temperature-measurement device that consists of two dissimilar metal wires joined at one end. An oversimplified diagram follows. Metal 1 POTENTIOMETER V(mV) Metal 2 A voltage generated at the metal junction is read on a potentiometer or millivoltmeter. When certain metals are used, the voltage varies linearly with the temperature at the junction of the two metals: V(mV) = aT(°C) + b An iron-constantan thermocouple (constantan is an alloy of copper and nickel) is calibrated by inserting its junction in boiling water and measuring a voltage V = 5.27 mV , and then inserting the junction in silver chloride at its melting point and measuring V = 24.88 mV. a. Derive the linear equation for V(mV) in terms of T( C). Then convert it to an equation for T in terms of V. b. If the thermocouple is mounted in a chemical reactor and the voltage is observed to go from 10.0 mV to 13.6 mV in 20 s, what is the average value of the rate of change of temperature, dT/dt , during the measurement period? c. State the principal benefits and disadvantages of thermocouples.
Jun 09, 2022
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