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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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
Transcribed Image Text: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 KP=200 kPa

Step 2

Solution:

a) Using ideal gas approximation

Properties of water at 500 K and 200 kPa,

k=1.33R=461 Jkg-K

Speed of sound, c=kRTc=1.33×461×500c=554 ms

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