How to Interpolate. Apply interpolation to the property data in Table B.2 to determine the following properties of saturated vapor H₂O:A. The specific volume at 50.8 kPa.B. The saturation temperature at 8.4 MPa.C. The mass-specific internal energy at 3.33 MPa.

Table B.2

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P(kPa) 1.0 20 3.0 4.0 5.0 6.0 7.0 8.0 9.0 10.0 11.0 12.0 13.0 14.0 15.0 16.0 NN 31.0 32.0 33.0 34.0 35.0 36.0 37.0 17.0 18.0 19.0 20.0 333.21 0.0010172 21.0 334.27 0.0010177 22.0 335.28 0.0010183 23.0 336.26 0.0010188 24.0 337.20 0.0010193 338.11 0.0010198 25.0 26.0 338.99 0.0010203 27.0 339.84 0.0010208 28.0 340.67 0.0010213 29.0 341.47 0.0010218 38.0 34 3 v (m³ kg) sat. liquid 40.0 T(K 280.12 0.0010001 290.64 0.0010014 297.23 0.0010028 302.11 0.0010041 306.02 0.0010053 309.31 0.0010065 23.733 312.15 0.0010075 20.524 314.66 0.0010085 18.099 316.91 0.0010094 16.199 318.96 0.0010103 320.83 0.0010111 322.57 0.0010119 324.18 0.0010126 325.70 0.0010134 327.12 0.0010140 328.46 0.0010147 329.74 0.0010154 330.95 0.0010160 332.10 0.0010166 39.0 348.40 0.0010260 46.0 48.0 343.00 0.0010227 343.74 0.0010231 344.45 0.0010236 345.15 0.0010240 345.83 0.0010244 346.50 0.0010248 347.14 0.0010252 347.78 0.0010256 349.01 0.0010264 42.0 350.18 0.0010271 44.0 351.32 0.0010279 352.40 0.0010286 353.45 0.0010293 v (m²/kg) satu (kJ/kg) vapor 129.18 66.987 45.653 34.791 28.185 14.670 13.412 12.358 11.462 10.691 10.020 9.4306 8.9087 8.4431 8.0252 7.6480 7.3056 6.9936 6.7079 6.4453 6.2032 5.9792 5.7713 5.5778 5.3972 5.0702 4.9215 4.7816 4.6497 4.5251 4.4072 4.2955 4.1895 4.0888 3.9930 3.8146 3.6520 3.5031 3.3663 u (kJ/kg) sat. liquid sat vapor 29.298 2384.5 73.426 2398.9 100.97 121.38 137.74 15147 163.34 2428.0 173.83 24314 183.24 191.80 199.64 206.90 h (kr/kg) sat liquid 29.299 73.428 2532.9 100.98 2544.8 2407.9 2414.5 121.39 2553.7 2419.8 137.75 2560.7 0.47620 24242 151.48 2566.6 0.52082 163.35 2571.7 0.55903 173.84 2576.2 0.59249 183.25 2580.2 0.62230 0.6492 0.67372 0.69628 0.71717 213.65 219.98 2446.1 2434.4 2437.2 191.81 2439.7 24420 206.91 2444.1 213.67 219.99 2448.0 225.94 2598.3 2600.6 2602.9 2605.0 225.93 231.55 2449.8 231.57 236.88 24514 241.95 2453.0 246.78 2454.5 25140 2456.0 251.42 255.83 2457.4 255.85 260.09 2458.7 260.11 264.18 2460.0 264.20 268.13 24612 268.15 h (kJ/kg) sat. vapor 2583.9 199.65 2587.2 271.93 24624 275.62 2463.5 275.64 331.83 2480.6 336.24 24819 2513.7 0.10591 0.26056 0.35429 0.42239 279.18 2464.6 279.21 282.64 2465.7 282.66 285.99 2466.7 286.02 2468.7 2469.6 295.52 s (kJ/kg-K) sat. liquid 2590.3 2593.1 2595.8 236.90 241.96 246.80 2607.0 0.81813 2608.9 0.83202 2610.8 0.84530 2612.5 0.858.00 2614.2 0.87020 2615.9 0.88191 271.96 2617.4 0.893 19 2619.0 2620.4 2621.8 2623.2 0.90407 0.91457 0.92472 0.93455 292.41 292.44 2625.8 0.95331 295.49 2627.1 0.962 28 298.49 2470.5 298.52 2628.3 0.97100 301.41 24714 301.45 2629.5 0.97948 304,27 24723 304.30 26.30.7 0.98774 0.99579 307.05 2473.1 307.09 2631.8 309.77 2474.0 309.81 2632.9 2634.0 1.0036 1.0113 31243 2474.8 312.47 315.04 2475.6 315.08 2635.0 1.0188 317.58 2476.3 317.62 2636.1 1.0261 322.52 2477.8 322.56 26.38.0 1.0402 327.27 2479.3 327.31 1.0537 1.0667 1.0792 0.73664 0.75486 0.77201 0.78820 0.80355 2639.9 331.88 2641.8 336.29 2643.5 s (kJ/kg-K) sat. vapor 8.9749 8.7226 8.5764 8.4734 8.39.38 8.3290 8.2745 8.2273 8.1858 8.1488 8.1154 8.0849 8.0570 8.0311 8.0071 7.9846 7.9636 7.9437 7.9250 7.9072 7.8903 7.8743 7.8589 7.8442 7.8302 7.8167 7.8037 7.7912 7.7791 7.7562 7.7453 7.7348 7.7246 7.7146 7.7050 7.6956 7.6865 7.6776 7.6690 7.6524 7.6365 7.6214 7.6069