THERMAL EFFECTS OF FLUIDS IN MOTION. 
363 
$) = 26247’9, and since £ 0 =273 - 7, we have, by (42), 
J&-JJ!3 = 95-9003 (48) 
From this, and the preceding- value of ft /or we have 
JJI3= 1 34-992 1| 
J&=330-8924j 
(49) 
Using these, and the values of a, (3, and y obtained above, in the preceding expres- 
sions (40), (41), (45) and (44), and calculating for every 20° of temperature from 
0° Cent, to 300°, we obtain the results shown in the following Table ; the assumptions 
(50) 
being made merely for convenience in exhibiting the formuloe and mode of calcula- 
tion along with the results. 
Table of the Specific Heats of Air. 
Tempera- 
ture from 
freezing- 
point, 
t-t 0 . 
I. 
II. 
III. 
IV. 
Difference of mechanical 
values of specific heats, 
j K -JN = ^+/1 
t o » 
Mechanical value of specific 
heat at constant volume, 
JN = JB+0— 
V 
Ratio of specific heats, 
Mechanical value of specific 
heat at constant pressure, 
JK=JJ£t+^(/+^)A 
O 
0 
95 * 9003 + 1-0080 x 
4> 
234-9921 + 1-7376 
X? 
1-4081 + *001262 x 
4> 
330-8924 + 2-7457 X 
P _ 
V 
V 
V 
n 
20 
95 - 9003 + -7306 
99 
234-9921 + 1-3486 
99 
1-4081 + -000759 
99 
330-8924 + 1-9376 
99 
40 
95 - 9003 + -5314 
99 
234-9921 + 1-0594 
99 
1 - 4081 +-000404 
99 
330-8924 + 1-3880 
99 
60 
95 - 9003 + -3862 
99 
234 - 9921 + -8408 
99 
1 - 4081 +-000177 
99 
330 - 8924 + 1-0064 
99 
80 
95 - 9003 + -2792 
99 
234 - 9921 + -6731 
99 
1-4081 +"000014 
99 
330 - 8924 + -7369 
99 
100 
95 - 9003 + -1994 
99 
234 - 9921 + -5426 
99 
1-4081 — 
•000098 
99 
330 - 8924 + -5435 
99 
120 
95 - 9003 + -1396 
99 
234 - 9921 + -4401 
99 
1 - 4081 - 
•000173 
99 
330 - 8924 + -4030 
99 
140 
95 - 9003 + -0944 
99 
234 - 9921 + -3587 
99 
1 - 4081 - 
•000225 
99 
330 - 8924 + -2997 
99 
160 
95 - 9003 + -0601 
99 
234 - 9921 + -2934 
99 
1 - 4081 - 
•000256 
99 
330 - 8924 + -2331 
99 
180 
95 - 9003 + -0345 
99 
234 - 9921 + -2412 
•>9 
1-4081 — 
•000275 
99 
330 - 8924 + -1663 
99 
200 
95 - 9003 + - 014 ] 
99 
234 - 9921 + -1977 
99 
1 - 4081 - 
•000285 
99 
330 - 8924 + -1223 
99 
220 
95 - 9003 - -0010 
99 
234 - 9921 + -1625 
99 
1-4081 — 
•000288 
99 
330 - 8924 + -0895 
99 
240 
95 - 9003 - -0125 
99 
234 - 9921 + -1334 
99 
1 - 4081 - 
•000286 
99 
330 - 8924 + -0644 
99 
260 
95 - 9003 — -0211 
99 
234 - 9921 + -1094 
99 
1 - 4081 - 
•000282 
99 
330 8924 + -0453 
99 
280 
95 - 9003 — -0275 
99 
234 - 9921 + -0893 
99 
1 - 4081 - 
•000274 
99 
330 - 8924 + -0306 
99 
300 
95 - 9003 - -0322 
99 
234 - 9921 + -0726 
99 
1-4081 — 
•000263 
99 
330 - 8924 + -0193 
99 
The mean value of JK for air at constant pressure j o, and for the range of tempe- 
rature from t' to t obtained by integrating equation (44) with reference to t between 
those limits, and dividing by t— t 1 , is 
JK+^{ 2a (i-i)-3/3(i-I)+2,() 3 -i)}ft; 
and this divided by J expresses the element actually observed in experiments such as 
3 a 2 
