By Merle Potter
ISBN-10: 0071830820
ISBN-13: 9780071830829
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The automobile is driven to a warmer climate where the temperature increases to 150 F on the hot asphalt. Estimate the increased pressure in the tire. 30 Nitrogen is contained in a 4-m3 rigid vessel at a pressure of 4200 kPa. Determine the mass if the temperature is (a) 30 C and (b) À120 C. 04 m3 /kg using (a) the ideal-gas equation, (b) the van der Waals equation, (c) the Redlich–Kwong equation, and (d) the compressibility factor. 32 Ten kilograms of 600 C steam is contained in a 182-liter tank.
The drag force is then 1 1 2 FD = V ACD = ð1:23Þð252 Þð2:3Þð0:2Þ = 177 N 2 2 To move this drag force at 25 m/s the engine must do work at the rate W = FD V = ð177Þð25Þ = 4425 W The horsepower is then Hp = 4425 W = 5:93 hp 746 W=hp 46 WORK AND HEAT [CHAP. 3 Fig. 3-5 Nonequilibrium work. 4 NONEQUILIBRIUM WORK It must be emphasized that the area on a P-V diagram represents the workRfor a quasiequilibrium process only. For nonequilibrium processes the work cannot be calculated using P dV ; either it must be given for the particular process or it must be determined by some other means.
The van der Waals equation of state is intended to account for the volume occupied by the gasmolecules and for the attractive forces between molecules. It is P¼ RT a À v À b v2 ð2:12Þ where the constants a and b are related to the critical-point data of Table B-3 by a¼ 27R2 Tcr2 64Pcr b¼ RTcr 8Pcr These constants are also presented in Table B-8 to simplify calculations. ð2:13Þ CHAP. 2] PROPERTIES OF PURE SUBSTANCES 31 An improved equation is the Redlich–Kwong equation of state: P¼ RT a pffiffiffiffi À v À b vðv + bÞ T ð2:14Þ where the constants are given by a ¼ 0:4275 R2 Tcr2:5 Pcr b ¼ 0:0867 RTcr Pcr ð2:15Þ and are included in Table B-8.
Thermodynamics for engineers by Merle Potter
by Brian
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