Air, initially at 280 K and 100 kPa, isbeing heated at constant pressure to 730 K. Determinethe change in the internal energy of air per unit massusing:(a) thermodynamic data from the attachedTable I, and (b) the polynomial approximation of thespecific heat (parameters located in Table II). # Table I: Ideal-Gas Properties of AirThis table presents the ideal-gas properties of air across a range of temperatures. It provides key thermodynamic data used in various calculations and analyses.### Columns:1. **T (K)**: Temperature in Kelvin.2. **\(h\) (kJ/kg)**: Specific enthalpy in kilojoules per kilogram.3. **\(s^0\) (kJ/kg-K)**: Standard specific entropy in kilojoules per kilogram per Kelvin.4. **\(u\) (kJ/kg)**: Specific internal energy in kilojoules per kilogram.5. **\(v\) (m³/kg)**: Specific volume in cubic meters per kilogram.6. **\(c_p\) (kJ/kg-K)**: Specific heat at constant pressure in kilojoules per kilogram per Kelvin.### Data:- For each row, the table lists these properties at a specific temperature.- The data range from 200 K to 1340 K, illustrating how each property changes with temperature.- The properties are critical for engineering calculations related to thermodynamics and fluid dynamics.### Usage:- Ideal for educational purposes, especially for students learning about thermodynamic properties.- Useful for engineers performing calculations for systems like HVAC, engines, and various heat exchange processes.This table is part of a compendium of thermodynamic data suited for academic and practical reference in engineering fields. # Table I: Thermodynamic PropertiesThis table provides thermodynamic properties for different temperatures (T) in Kelvin (K) over a specified range. Each row corresponds to a specific temperature and details several properties: \( h \), \( hf \), \( hg \), \( sf \), \( sg \), and \( hfg \). These properties include:- \( T \): Temperature in Kelvin (K)- \( h_f \): Enthalpy of the fluid in kilojoules per kilogram (kJ/kg)- \( h_g \): Enthalpy of the gas in kilojoules per kilogram (kJ/kg)- \( h_fg \): Latent heat of vaporization in kilojoules per kilogram (kJ/kg)- \( s_f \): Entropy of the fluid in kilojoules per kilogram-Kelvin (kJ/kg-K)- \( s_g \): Entropy of the gas in kilojoules per kilogram-Kelvin (kJ/kg-K)## Data Overview| **T (K)** | **h (kJ/kg)** | **hf (kJ/kg)** | **hg (kJ/kg)** | **hfg (kJ/kg)** | **sf (kJ/kg-K)** | **sg (kJ/kg-K)** ||-----------|--------------|----------------|----------------|----------------|-----------------|-----------------|| 1260 | 1348.55 | 290.8 | 966.90 | 12.435 | 3.2548 | 5.8042 || 1280 | 1372.24 | 308.9 | 1004.15 | 11.133 | 3.2696 | 5.8354 || 1300 | 1396.01 | 330.9 | 1042.82 | 11.275 | 3.2839 | 5.8685 || 1320 | 1419.85 | 353.0 | 1082.15 | 11.231 | 3.2974 | 5.9012 || 1340 | 1443.77 | 379.2 | 1122.33 | 11.435

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Table I TABLE A-17 Ideal-gas properties of air P. P. kJ/kg 199.97 ka/kg kJ/(kg - K) kJ/kg kafkg kJkg- KI K K 0.3363 142.56 1707.0 1.295 59 580 586.04 14.38 419.55 115.7 2.373 48 200 210 427.15 2.391 40 2.409.02 209.97 0.3987 149.69 1512.0 1.344 44 590 596.52 15.31 110.6 220 230 219.97 0.4890 156.82 1346.0 1.391 05 600 607.02 16.28 434.78 105.8 164.00 1205.0 617.53 44242 1.435 57 1.478 24 230.02 0.5477 610 17.30 101.2 2426 44 240 240.02 0.6355 171.13 1084.0 620 628.07 18.36 450.09 96.92 2.443 56 250.05 638.63 19.84 457.78 92.84 2.460 48 2.477 16 250 0.7329 178.28 979.0 1.519 17 630 260 260.09 0.8405 185.45 887.8 1.558 48 640 649.22 20.64 465 50 88.99 0.9590 1.0889 659.84 670.47 270 270.11 192.60 806.0 1.596 34 650 21.66 473.25 85.34 2493 64 81.89 78.61 260 280.13 199.75 738.0 1.632 79 660 23.13 481.01 2.509 85 285 285.14 1.1584 203.33 706.1 1.650 55 670 681.14 24.46 488.81 2525 89 691.82 702.52 290 290.16 1.2311 206.91 676.1 1.668 02 680 25.85 496.62 75.50 2541 75 295 295.17 1.3068 210.49 647.9 1.685 15 690 27.29 504.45 72.56 2.557 31 1.3860 26.80 512.33 2572 77 69.76 67.07 300 300.19 214.07 621.2 1.702 03 700 713.27 305 305.22 1.4686 217.67 596.0 1.71865 710 724.04 30.38 520.23 2.568 10 310 310.24 1.5546 221.25 572.3 1.734 98 720 734.82 32.02 528.14 64.53 2603 19 2618 03 2.632 80 315 315.27 1.6442 224.85 549.8 1.751 06 730 745.62 33.72 536.07 62.13 320 29 325.31 50.82 57.63 320 1.7375 228.42 528.6 1.766 90 740 756.44 35.50 544.02 325 1,8345 232.02 508.4 1.782 49 750 767 29 37.35 551.99 2.647 57 330 330.34 1.9352 235.61 489.4 1.797 83 780 778.18 39.27 560.01 55.54 2.661 76 340 340.42 2.149 242.82 454,1 1.827 90 780 800.03 43.35 576.12 51.64 2 690 13 350 350.49 2.379 250.02 422.2 1.857 08 800 821.95 47.75 582.30 48.08 2.71787 393.4 1.885 43 1.913 13 360 360.58 2.626 257.24 820 843.98 52.59 608.59 4.84 2.74504 2.892 41.85 264.46 271.69 370 370.67 367.2 840 B66.08 57.60 624.95 2.771 70 380 380.77 3.176 343.4 1.94001 860 888.27 63.09 641.40 38.12 2.797 83 390 390.88 3.481 278.93 321.5 1.966 33 680 910.56 68.98 657.95 36.61 2.823 44 3.806 266. 16 301.6 1.99194 2.016 99 400 400.98 900 932.93 75.29 674.58 34.31 2.848 56 410 411.12 4.153 293.43 283.3 920 955.38 82.05 691.28 32.18 2873 24 420 421.26 4.522 300.69 266.6 2.041 42 940 977.92 89.28 708.06 30.22 2.897 45 2.065 33 2.068 70 430 431.43 4.915 307.99 251.1 960 1000.55 97.00 725.02 28.40 2.921 28 440 441.61 5.332 315.30 236.8 980 1023.25 105.2 741.98 26.73 2944 68 450 451.80 5.775 322.62 223.6 2.11161 1000 1046.04 114.0 758.94 25.17 2.967 70 460 462.02 6.245 329.97 211.4 2.134 07 1020 1068.89 123.4 776.10 23.72 2.990 34 470 472.24 6.742 337.32 200.1 2.156 04 1040 1091.85 133.3 793.36 22.39 3.012 60 480 482.49 7.268 344.70 189.5 2177 60 1060 1114.86 143.9 810.62 21.14 3.034 49 490 492.74 7.824 352.06 179.7 2.198 76 1080 1137.89 155.2 827 88 19.98 3.058 08 170.6 2.219 52 2.239 93 2.259 97 500 503.02 a.411 359.49 1100 1161.07 167.1 845.33 18.896 3.077 32 510 513.32 9.031 366.92 162.1 1120 1184.28 179.7 862.79 17.886 3.098 25 520 523.63 9.684 374.36 154.1 1140 1207.57 193.1 B80.35 16.946 3.11883 530 533.08 10.37 381.84 146.7 2.27967 1160 1230.92 207.2 897.91 16.084 3.139 16 540 544.35 11.10 389.34 139.7 2.299 05 1180 1254.34 2222 915.57 15.241 3.159 16 1277.79 1301.31 550 554,74 11.86 396.86 133.1 2.318 09 1200 238.0 933.33 14.470 3.178 s8 1220 1240 560 565.17 12.66 404.42 127.0 2.336 85 254.7 951.09 13.747 3.19634 570 575.59 13.50 411.97 121.2 2.355 31 1324.93 2723 968.95 13.069 3.21751 898