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Fundamentals of Engineering Thermodynamics | 7th Edition | ISBN: 9780470495902 | Authors: Michael J. Moran, Howard N. Shapiro, Daisie D. Boettner, Margaret B. Bailey
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Using Energy Concepts and the Ideal Gas ModelFive

Chapter 3, Problem 131P

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QUESTION:

Five kilograms of a gas with molecular weight of \(32 \mathrm{~kg} / \mathrm{kmol}\) and a temperature of \(110^{\circ} \mathrm{C}\) is contained in a closed, rigid tank fitted with an electric resistor whose mass is negligible. The resistor draws a constant current of \(12 \mathrm{amps}\) at a voltage of \(125 \mathrm{~V}\) for 5 minutes. Measurements indicate that when equilibrium is reached, the temperature of the gas has increased by \(44.1^{\circ} \mathrm{C}\). Heat transfer from the gas is estimated to occur at a constant rate of \(1 \mathrm{~kW}\). Assuming ideal gas behavior and negligible kinetic and potential energy effects, determine an average value of the specific heat, \(c_p\), in \(\mathrm{kJ} / \mathrm{kg} \cdot \mathrm{K}\), of the gas in this temperature interval based on the measured data.

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QUESTION:

Five kilograms of a gas with molecular weight of \(32 \mathrm{~kg} / \mathrm{kmol}\) and a temperature of \(110^{\circ} \mathrm{C}\) is contained in a closed, rigid tank fitted with an electric resistor whose mass is negligible. The resistor draws a constant current of \(12 \mathrm{amps}\) at a voltage of \(125 \mathrm{~V}\) for 5 minutes. Measurements indicate that when equilibrium is reached, the temperature of the gas has increased by \(44.1^{\circ} \mathrm{C}\). Heat transfer from the gas is estimated to occur at a constant rate of \(1 \mathrm{~kW}\). Assuming ideal gas behavior and negligible kinetic and potential energy effects, determine an average value of the specific heat, \(c_p\), in \(\mathrm{kJ} / \mathrm{kg} \cdot \mathrm{K}\), of the gas in this temperature interval based on the measured data.

ANSWER:

Solution 131P

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A gas is contained in a closed rigid tank fitted with an electric resistor. To find the average value of specific heat

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