Determine the energy transfer as heat (J) required to change the state of 2 kg of methane from a saturated liquid at 1 atm to a gas at 300 K and 1 atm, assuming that the methane is confined at constant pressure during this process. Check your read of the tables using the P?h chart, and make a P?h process sketch showing the initial and final states, the vapor dome, and the line P = 1 atm. Use the tables in Appendix A.5 for data.

Data From Appendix A.5

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T/ psat / K MPa 90.6941 0.01170 0.01981 0.03438 95 100 105 110 111.6672 0.101325 115 120 125 130 135 140 145 150 155 160 165 170 175 180 185 190.56 v²/ UV / m³/kg m³/kg 0.002215 3.988 0.05638 0.002315 0.942 0.08813 0.002354 0.6257 0.002368 0.5505 0.13221 0.002396 0.4312 0.19143 0.002440 0.3066 0.26876 0.002487 0.2239 0.36732 0.002538 0.1672 0.49035 0.002593 0.1273 0.64118 0.002653 0.0985 0.82322 0.002720 0.0772 1.0400 0.002794 0.0612 1.2950 0.002878 0.0490 1.5921 0.002973 0.0394 0.002244 2.457 0.002278 1.482 3.8617 4.599 h² / hLV / hv / s¹/ SLV / SV/ kJ/kg kJ/kg kJ/kg kJ/(kg .K) kJ/(kg. K) kJ/(kg .K) -71.82 544.26 472.44 -0.7 6.0011 5.2911 -57.27 538.06 480.78 -0.5534 -40.27 530.48 490.21 -0.3793 1.9351 207.33 348.12 555.45 1.4701 0.003086 0.0318 0.003221 0.02566 2.3283 231.24 320.30 551.54 1.6054 2.7765 0.003391 0.02059 257.09 287.44 544.52 1.7466 3.2852 0.003620 0.01629 285.94 246.89 532.83 1.8991 -23.12 522.44 499.31 -0.2125 4.9756 -5.81 513.84 508.02 -0.0522 4.6712 0.00 510.83 510.83 0.0000 4.5746 11.69 504.59 516.28 0.1025 4.3877 29.41 494.61 524.02 0.2521 4.1218 47.37 483.80 531.17 0.3972 3.8704 65.63 472.04 537.67 0.5385 3.6310 84.22 459.20 543.42 0.6764 3.4015 3.1796 103.20 445.14 548.34 0.8116 122.65 429.68 552.32 0.9446 2.9633 142.64 412.58 555.23 1.0761 2.7506 2.5392 163.31 393.58 556.89 1.2069 184.80 372.27 557.07 1.3378 2.3267 5.6637 5.3048 320.51 191.97 512.49 2.0765 0.003978 0.01243 0.006148 0.006148 415.59 0.0 415.59 2.5624 2.1098 1.8841 1.6425 1.3716 1.0377 0.0 5.1103 4.9255 4.7631 4.6191 4.5746 4.4902 4.3738 4.2676 4.1695 4.0779 3.9912 3.9079 3.8267 3.7461 3.6645 3.5799 3.4895 3.3891 3.2707 3.1142 2.5624