Using Energy Concepts and the Ideal Gas ModelOne kilogram

Chapter 3, Problem 115P

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QUESTION:

One kilogram of nitrogen fills the cylinder of a piston-cylinder assembly, as shown in Fig. P3.115. There is no friction between the piston and the cylinder walls, and the surroundings are at \(1 \mathrm{~atm}\). The initial volume and pressure in the cylinder are \(1 \mathrm{~m}^3\) and \(1 \mathrm{~atm}\), respectively. Heat transfer to the nitrogen occurs until the volume is doubled. Determine the heat transfer for the process, in kJ, assuming the specific heat ratio is constant, k=1.4.

                                             

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QUESTION:

One kilogram of nitrogen fills the cylinder of a piston-cylinder assembly, as shown in Fig. P3.115. There is no friction between the piston and the cylinder walls, and the surroundings are at \(1 \mathrm{~atm}\). The initial volume and pressure in the cylinder are \(1 \mathrm{~m}^3\) and \(1 \mathrm{~atm}\), respectively. Heat transfer to the nitrogen occurs until the volume is doubled. Determine the heat transfer for the process, in kJ, assuming the specific heat ratio is constant, k=1.4.

                                             

ANSWER:

Solution

Step 1 of 2

Consider one kilogram of nitrogen fills the cylinder of a piston-cylinder assembly and there is no friction between the piston and the cylinder walls .

The heat transfer to the nitrogen occurs until the volume is doubled.

We need to find out the heat transfer for the process .

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