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Proposed sh ratio gas-parameter by julio c. banks, pe, 02-25-2014

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Information about Proposed sh ratio gas-parameter by julio c. banks, pe, 02-25-2014
Design

Published on February 26, 2014

Author: YoCreo

Source: slideshare.net

Description

the user would use the Cp(T) into the expression
I derived and provided in the report to obtain the
specific heat ratio gamma(T) = k(T)= Cp/Cv
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24-20 M E C HAN I CAL ENG I NEE R I N G REF ERE N C E 39. SPECIFIC HEATS OF REAL GASES 2 cp =A+BT+CT + By definition, the specific heat of an ideal gas is inde­ pendent of temperature. However, the specific heat of a real gas varies with temperature and (slightly) with pressure. There are several ways to find the specific heat of a gas at different temperatures: tables, graphs, and correlations.l 4 Table 22.1 is a typical tabulation of specific heats versus temperature. Equation 24.94 is a typical temperature correlation. The variation with pressure, being small at low pres­ sures, is disregarded. The coefficients A, B, C, and D will depend on the units, the temperature range over which the correlation is to be used, and the desired ac­ curacy. Typical coefficients are given in Table 24.9. K gas MAN U A L A ~ Cv cp R 24. 95(b) = cp ~ - ' - [US.] 'K-«- 1/( I - ~"1..ep (-r) (t.LS) Z'l: C;t. PRACTICE PROBLEMS 1. What is the molar enthalpy of 250°F (120°C) steam with a quality of 92%? (A) 16,000 Btu/lbmole (37 MJ/kmol) (B) 18,000 Btu/lbmole (41 MJ/kmol) (C) 20,000 Btu/lbmole (46 MJ/kmol) (D) 22,000 Btu/lbmole (51 MJ/kmol) The answer is (C). B C X 0.453 1.152 0.62 x10- 5 32.58 x10- 5 268.8 -41.29 X 220 to 670 670 to 2220 0.2534 0.2763 -2.35 x10- 5 3.04 x10- 5 26.88 -3.89 X 400 to 4000 220 to 2220 0.328 3.2 x10- 5 400 to 1000 1000 to 2500 2500 to 4000 CO 220 to 560 560 to 1390 1390 to 2220 2.853 3.447 2.841 145 x10- 5 -4.7 x10- 5 45 x10- 5 0.2405 0.2459 220 to 560 560 to 2220 400 to 1200 1200 to 4000 24. 95(a) Cv 20.1 -3.74 220 to 670 670 to 2220 24.94 lSI] -1.186 X 10- 5 3.22 x10- 5 400 to 1200 1200 to 4000 400 to 1000 1000 to 4000 air D VT x10- 5 D o 10- 9 10- 9 -0.833 10- 9 10- 9 -22.42 X 10- 9 10- 9 -1.5 -4.4 X 10- 9 -3.33 -883 70.3 -31.2 X 10- 9 10- 9 10- 9 o o o X 10- 9 X 10- 9 o X X X X 400 to 1800 1800 to 4000 220 to 1000 1000 to 2220 0.4267 0.3275 2.425 14.67 x10- 5 23.85 -13.59 400 to 1200 1200 to 4000 220 to 670 670 to 2220 0.2510 0.2192 -1.63 x10- 5 4.38 x 10- 5 20.4 -5.14 X 400 to 1200 1200 to 4000 220 to 670 670 to 2220 0.213 0.340 0.188 x10- 5 -0.36 x10- 5 20.3 0.616 X X X o o o o 10- 9 10- 9 -0.124 10- 9 10- 9 -3.19 o aMultiply values in this table by 2.326 to obtain coefficients for specific heats in kJ/kg·K. Adapted from a table published in Engineering Thermodynamics, C. O. Mackay, W. N. Barnard, and F. O. Ellenwood (John Wiley, New York, 1957). 14It is also possible to calculate the specific heat over a small temperature range if the enthalpies are known (e.g., from an air table) from Cp = tl.h/ tl.T. However, if the enthalpies are known, it is unlikely that the specific heat will be needed. PROFESSIONAL PUBLICATIONS, INC. to.

THE R MOD Y N A M I CPR 0 PER TIE S 0 F SUB S TAN C E S 24-21 " 2. What is the ratio of specific heats for air at 600°F (300°C)7 (A) 1.33 (B) 1.38 (C) 1.41 (D) 1.67 ei'G 1~ ..:.=::= The answer is (B). LA r~, ~SIV2M-.)4,>l 12 ( l3c:: u J l' pr­ P6~y Ac-"",-­ ~;e'tOy/fT L­ l1~ 3. What is the density of helium at 600°F (300°C) and one standard atmosphere? (A) 0.0052 Ibm/ft 3 (0.085 kg/m3 ) (B) 0.0061 Ibm/ft 3 (0.098 kg/m3 ) (C) 0.0076 Ibm/ft 3 (0.12 kg/m 3 ) (D) 0.0095 Ibm/ft 3 (0.15 kg/m 3 ) OJ IlO~ <> o C> 't The answer is (A). ~~'v1-e ~ a 1~('" &'1-1. C f' (-n or cr I C; l'-U-e ,,:;pe&t!YG ke-y- r~A'o J-erv.<s (JJf r;1-s C; few.ll:C dUA'-<7 d-b n'v ;vA~ C-v 1,1 -c: Cy - ; - ov~d Where J = 778.17 Lbf-ft/BTU (2- ) Cf /1/ V'- ;::::. ----"'" C"'J ~ c( <;u.hsp,'4k efil- ~A (Jl-1 <; , /..:;r '/)c-u ,' c1 ~ ~.; '2.4., 0 ~ C6) iSf, , Cv ~ cPr;" 1- Cf c 1- (~J d t.V ~ !/uLuz '~ C · f ect.'7S(6) vufv 8'Z'Ld '1,,>C helve€.. · (3 ) cp -1 ~'iYv tu--eJ/j 'Z<f.q5:(~) (V.·'S·1 (i) ""a =1f Le..}­ ~I 14) q, &?::f ~ '2- (-e, z cPa 1- -ivr 1t- ~~ f-u f::!;:9 s6" i ~ [ <0 1/( t - PROFESSIONAL ( c.; ) ~~) <3,(7)) Cp(T) I PUBLICATIONS, INC.

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