Solution Found!
Working with the Ideal Gas ModelDetermine the percent
Chapter 3, Problem 101P(choose chapter or problem)
Determine the percent error in using the ideal gas model to determine the specific volume of
(a) water vapor at \(4000 \mathrm{lbf} / \mathrm{in}^2, 1000^{\circ} \mathrm{F}\).
(b) water vapor at \(5 \mathrm{lbf} / \mathrm{in.}^2, 250^{\circ} \mathrm{F}\).
(c) ammonia at \(40 \mathrm{lbf} / \mathrm{in}^2, 60^{\circ} \mathrm{F}\).
(d) air at \(1 \mathrm{~atm}, 560^{\circ} \mathrm{R}\).
(e) Refrigerant 134a at \(300 \mathrm{lbf} / \mathrm{in}^2, 180^{\circ} \mathrm{F}\).
Questions & Answers
QUESTION:
Determine the percent error in using the ideal gas model to determine the specific volume of
(a) water vapor at \(4000 \mathrm{lbf} / \mathrm{in}^2, 1000^{\circ} \mathrm{F}\).
(b) water vapor at \(5 \mathrm{lbf} / \mathrm{in.}^2, 250^{\circ} \mathrm{F}\).
(c) ammonia at \(40 \mathrm{lbf} / \mathrm{in}^2, 60^{\circ} \mathrm{F}\).
(d) air at \(1 \mathrm{~atm}, 560^{\circ} \mathrm{R}\).
(e) Refrigerant 134a at \(300 \mathrm{lbf} / \mathrm{in}^2, 180^{\circ} \mathrm{F}\).
ANSWER:a.)
Step 1 of 9
We have to determine the percent error in using the ideal gas model to determine the specific volume of water vapor at 4000 lbf/in2, 1000°F.
The specific volume() of water vapour at 4000 lbf/in2, 1000°F can be calculated using the ideal gas model expression
where,
= Pressure of water vapour = 4000 lbf/in2= 576,000 lbf/ft2
specific volume of water vapour in ft3/lb
1545 ft lbf/lbmol
oR
Temperature of water vapour 1000 oF = 1459.67 oR
Molecular weight of water = 18 lb/lbmol
Thus,
= 0.2172 ft3/lb