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Using Specific Volume, Volume, and PressureAs
Chapter 1, Problem 41P(choose chapter or problem)
As shown in Fig. P1.41, air is contained in a vertical piston cylinder assembly fitted with an electrical resistor. The atmosphere exerts a pressure of \(14.7 \mathrm{lbf} / \mathrm{in}^2\) on the top of the piston, which has a mass of \(100 \mathrm{lb}\) and face area of \(1 \mathrm{ft}^2\). As electric current passes through the resistor, the volume of the air increases while the piston moves smoothly in the cylinder. The local acceleration of gravity is \(g=32.0 \mathrm{ft} / \mathrm{s}^2\). Determine the pressure of the air in the piston-cylinder assembly, in \(\mathrm{lbf} / \mathrm{in}^2\) and psig.
Questions & Answers
QUESTION:
As shown in Fig. P1.41, air is contained in a vertical piston cylinder assembly fitted with an electrical resistor. The atmosphere exerts a pressure of \(14.7 \mathrm{lbf} / \mathrm{in}^2\) on the top of the piston, which has a mass of \(100 \mathrm{lb}\) and face area of \(1 \mathrm{ft}^2\). As electric current passes through the resistor, the volume of the air increases while the piston moves smoothly in the cylinder. The local acceleration of gravity is \(g=32.0 \mathrm{ft} / \mathrm{s}^2\). Determine the pressure of the air in the piston-cylinder assembly, in \(\mathrm{lbf} / \mathrm{in}^2\) and psig.
ANSWER:
Solution 41P
Step 1 of 5
We need to calculate the pressure of the air in the given piston cylinder assembly, when the current is passed through the resistor. In the given case, the atmospheric pressure is at the top of the piston and the mass of the piston is
with area
. The local acceleration due to gravity is given to be
.