Answer: Using Energy Concepts and the Ideal Gas ModelAs

Chapter 3, Problem 122P

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QUESTION:

As shown in Fig. P3.122, a piston-cylinder assembly whose piston is resting on a set of stops contains \(0.5 \mathrm{~kg}\) of helium gas, initially at \(100 \mathrm{kPa}\) and \(25^{\circ} \mathrm{C}\). The mass of the piston and the effect of the atmospheric pressure acting on the piston are such that a gas pressure of \(500 \mathrm{kPa}\) is required to raise it. How much energy must be transferred by heat to the helium, in kJ, before the piston starts rising? For the helium, assume ideal gas behavior with \(c_p=\frac{5}{2} R\).

                                                       

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QUESTION:

As shown in Fig. P3.122, a piston-cylinder assembly whose piston is resting on a set of stops contains \(0.5 \mathrm{~kg}\) of helium gas, initially at \(100 \mathrm{kPa}\) and \(25^{\circ} \mathrm{C}\). The mass of the piston and the effect of the atmospheric pressure acting on the piston are such that a gas pressure of \(500 \mathrm{kPa}\) is required to raise it. How much energy must be transferred by heat to the helium, in kJ, before the piston starts rising? For the helium, assume ideal gas behavior with \(c_p=\frac{5}{2} R\).

                                                       

ANSWER:

Solution 122P

Step 1 of 5

Here our aim is to determine the heat transferred to helium, in kJ, before the piston starts rising.

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