Using Specific Volume, Volume, and PressureThree kg of gas

Chapter 1, Problem 27P

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QUESTION:

Three kg of gas in a piston-cylinder assembly undergo a process during which the relationship between pressure and specific volume is \(p v^{0.5}=\) constant. The process begins with \(p_1=250 \mathrm{kPa}\) and \(V_1=1.5 \mathrm{~m}^3\) and ends with \(p_2=100 \mathrm{kPa}\). Determine the final specific volume, in \(\mathrm{m}^3 / \mathrm{kg}\). Plot the process on a graph of pressure versus specific volume.

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QUESTION:

Three kg of gas in a piston-cylinder assembly undergo a process during which the relationship between pressure and specific volume is \(p v^{0.5}=\) constant. The process begins with \(p_1=250 \mathrm{kPa}\) and \(V_1=1.5 \mathrm{~m}^3\) and ends with \(p_2=100 \mathrm{kPa}\). Determine the final specific volume, in \(\mathrm{m}^3 / \mathrm{kg}\). Plot the process on a graph of pressure versus specific volume.

ANSWER:

Solution

Step 1 of 3

Consider a three kg of gas in a piston-cylinder assembly undergo a process during which the relationship between pressure and specific volume is .

We need to find out the final specific volume in  if the process begins with  and  and ends with .

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