Ma т,л3 pip TП plp - V/V* 1.2679 1.2591 1.2346 0.0000 2.4000 0.0000 0.0237 0.00 0,0000 0.10 0.0468 2.3669 0.0560 0.20 0.1736 2.2727 0.2066 0.0909 0.30 0.3469 2.1314 0.4089 0.1918 1.1985 L.1566 1.1141 0.40 0.5290 1.9608 0.6151 0.3137 0.50 0.6914 1.7778 0.7901 0.4444 0,60 0.8189 1.5957 0.9167 0.5745 1.0753 1.4235 1.0431 1.0193 0.70 0.9085 0.9929 0.6975 0.80 0.9639 1.2658 1.0255 0.8101 0.9110 1.1246 1.0000 0.90 0.9921 1.0245 1.0049 1.0000 0.9603 1.00 1.0000 1.0000 1.0000 1.0780 1.1459 1.10 0.9939 0.8909 1.0049 1.20 0.9787 0.7958 0.9118 1.0194 1.30 0.9580 0.7130 0.8592 1.2050 1.0437 1.40 0.9343 0.6410 0.8054 1.2564 1.0777 1.50 1.60 1.3012 1.3403 0.9093 0.5783 0.7525 1.1215 0.8842 0.5236 0.7017 1.1756 1.70 1.80 0.8597 0.4756 0.6538 1.3746 1.2402 0.6089 0.5673 0.8363 0.4335 1.4046 1.3159 1.90 0.8141 0.3964 1.4311 1.4033 2.00 0.7934 0.3636 0.5289 1.4545 1.5031 2.10 0.7741 0.3345 0.4936 1.4753 1.6162 1.7434 2.20 0.7561 0.7395 0.3086 0.4611 1.4938 2.30 0.2855 0.4312 15103 1.8860 2.40 0.7242 0.2648 0.4038 15252 2.0451 2.2218 2.4177 2.50 0.7101 0.2462 0.3787 15385 2.60 0.6970 0.2294 0.3556 1.505 2.70 0.6849 0.2142 0.3344 1.5613 2.6343 2.80 0.6738 0.2004 0.3149 15711 2.8731 2.90 0.6635 0.1879 0.2969 1.5801 3.1359 3.00 0.6540 0.1765 0.2803 0.2650 1.5882 3.4245 1.5957 1.6025 1.6088 3.10 0.6452 0.1660 3.7408 0.1565 0.1477 0.1397 0.1322 0.1254 3.20 0.6370 0.2508 4.0871 3.30 0.6294 0.2377 4.4655 3.40 0.6224 0.2255 1.6145 4.8783 02142 0.2037 16198 1.6247 3.50 0.6158 5.3280 5.8173 6.3488 3.60 0.6097 3.70 0.6040 0.1190 0.1939 1.6293 0.5987 0.5937 0.5891 0.1848 0.1763 0.1683 3.80 0.1131 0.1077 1.6335 6.9256 3.90 1.6374 7.5505 4.00 0.1026 1.6410 8.2268

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Related questions

Concept explainers

Question

Consider steam at 500 K and 200 kPa. Estimate its speed of
sound by two different methods: (a) assuming an ideal gas
from Table B.4, or (b) using finite differences for isentropic
densities between 210 kPa and 190 kPa.

Ma
т,л3
pip
TП
plp - V/V*
1.2679
1.2591
1.2346
0.0000
2.4000
0.0000
0.0237
0.00
0,0000
0.10
0.0468
2.3669
0.0560
0.20
0.1736
2.2727
0.2066
0.0909
0.30
0.3469
2.1314
0.4089
0.1918
1.1985
L.1566
1.1141
0.40
0.5290
1.9608
0.6151
0.3137
0.50
0.6914
1.7778
0.7901
0.4444
0,60
0.8189
1.5957
0.9167
0.5745
1.0753
1.4235
1.0431
1.0193
0.70
0.9085
0.9929
0.6975
0.80
0.9639
1.2658
1.0255
0.8101
0.9110
1.1246
1.0000
0.90
0.9921
1.0245
1.0049
1.0000
0.9603
1.00
1.0000
1.0000
1.0000
1.0780
1.1459
1.10
0.9939
0.8909
1.0049
1.20
0.9787
0.7958
0.9118
1.0194
1.30
0.9580
0.7130
0.8592
1.2050
1.0437
1.40
0.9343
0.6410
0.8054
1.2564
1.0777
1.50
1.60
1.3012
1.3403
0.9093
0.5783
0.7525
1.1215
0.8842
0.5236
0.7017
1.1756
1.70
1.80
0.8597
0.4756
0.6538
1.3746
1.2402
0.6089
0.5673
0.8363
0.4335
1.4046
1.3159
1.90
0.8141
0.3964
1.4311
1.4033
2.00
0.7934
0.3636
0.5289
1.4545
1.5031
2.10
0.7741
0.3345
0.4936
1.4753
1.6162
1.7434
2.20
0.7561
0.7395
0.3086
0.4611
1.4938
2.30
0.2855
0.4312
15103
1.8860
2.40
0.7242
0.2648
0.4038
15252
2.0451
2.2218
2.4177
2.50
0.7101
0.2462
0.3787
15385
2.60
0.6970
0.2294
0.3556
1.505
2.70
0.6849
0.2142
0.3344
1.5613
2.6343
2.80
0.6738
0.2004
0.3149
15711
2.8731
2.90
0.6635
0.1879
0.2969
1.5801
3.1359
3.00
0.6540
0.1765
0.2803
0.2650
1.5882
3.4245
1.5957
1.6025
1.6088
3.10
0.6452
0.1660
3.7408
0.1565
0.1477
0.1397
0.1322
0.1254
3.20
0.6370
0.2508
4.0871
3.30
0.6294
0.2377
4.4655
3.40
0.6224
0.2255
1.6145
4.8783
02142
0.2037
16198
1.6247
3.50
0.6158
5.3280
5.8173
6.3488
3.60
0.6097
3.70
0.6040
0.1190
0.1939
1.6293
0.5987
0.5937
0.5891
0.1848
0.1763
0.1683
3.80
0.1131
0.1077
1.6335
6.9256
3.90
1.6374
7.5505
4.00
0.1026
1.6410
8.2268

Expert Solution

Step 1

Given data:

$T = 500 K P = 200 kPa$

Step 2

Solution:

a) Using ideal gas approximation

Properties of water at 500 K and 200 kPa,

$k = 1.33 R = 461 \frac{J}{kg - K}$

$\begin{array}{rcl} Speed of sound, c & = & \sqrt{kRT} \\ c & = & \sqrt{1.33 \times 461 \times 500} \\ c & = & 554 \frac{m}{s} \end{array}$

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