Hydrology Question 2· The table on the following page gives the hourly air ternp

Question

Hydrology Question

2· The table on the following page gives the hourly air ternperature, T, relative humidity, RH wind speed, 2 m), and water-surface temperatures, T, for Lake Hefner, Oklahoma, on 3 May 1951. The lake arca is 9.4 km2. Compare the avcrage cvaporation rate for that day via the mass-transfer approach by a. calculating the evaporation rate for cach hour and averaging the results; and b. avcraging the valucs in the table and using thosc avcrages in the mass-transfer cquation Hour a PC) RH uf2 m) (m/s) T, (C) Hour 20.8 21.0 22.6 23.5 26.4 28.2 0.87 947 17.4 0.92 0.91 7.62 16.2 0.90 7.94 16.3 0.92 0.88 0.72 0.62 7,83 8.53 9,68 9.84 16.2 16.2 16.8 18.0 28.2 30.9 32.6 32.4 32.0 30.3 RH 0.58 10.71 19.5 0.41 9.46 19.8 0.30 9.37 20.2 0.49 0.33 0.38 0.42 0.57 10.05 9.02 8.88 8.55 8.34 20.1 20.0 19.8 19.5 Hour 29.6 26.2 25.8 24.9 23.6 23.3 22.8 22.5 0.86 0.79 7.99 18.7 0.92 7.62 0.64 0.75 0.81 0.84 0.88 112 m [m/s) T,°C) 8.01 8.03 8.15 8.24 8.00 7.84 19.1 18.9 18.4 18.3 18.0 17,6 17.4

Explanation / Answer

Note: the average value coming after calculating for every hour is 9.40mm/day and the value coming after taking average of values and then calculating is underestimating the result since value coming is 8.55 mm/day

hour to rh u ts saturation vapour pressure lemda vapour pressure evaporation(mm/day) 1 20.8 0.92 8.14 16.2 1.845783429 2.5 1.698120755 1.851040221 2 21 0.92 7.83 16.2 1.845783429 2.5 1.698120755 1.78054606 3 21.3 0.91 7.62 16.2 1.845783429 2.5 1.679662921 1.949390945 4 21.9 0.9 7.94 16.3 1.857607984 2.5 1.671847185 2.271408738 5 22.6 0.88 8.53 16.8 1.917732183 2.5 1.687604321 3.02300562 6 23.5 0.87 9.47 17.4 1.992126564 2.5 1.73315011 3.776860799 7 26.4 0.72 9.68 18 2.06903675 2.5 1.48970646 8.636192499 8 28.2 0.62 9.84 18.9 2.189276641 2.5 1.357351517 12.60666055 9 28.2 0.58 10.71 19.5 2.272793984 2.5 1.318220511 15.74416212 10 29.1 0.49 10.05 19.7 2.301245803 2.5 1.127610443 18.16435446 11 30.9 0.41 9.46 19.8 2.315588192 2.5 0.949391159 19.90330486 12 32.6 0.3 9.37 20.2 2.373742667 2.5 0.7121228 23.97684235 13 32.4 0.33 9.02 20.1 2.359085588 2.5 0.778498244 21.95562267 14 32 0.38 8.88 20 2.344507724 2.5 0.890912935 19.87819946 15 31.9 0.42 8.55 19.8 2.315588192 2.5 0.972547041 17.68382284 16 30.3 0.57 8.34 19.5 2.272793984 2.5 1.295492571 12.55206843 17 29.6 0.64 8.01 19.1 2.216812225 2.5 1.418759824 9.844295588 18 26.2 0.75 8.03 18.9 2.189276641 2.5 1.641957481 6.7682582 19 25.8 0.79 7.99 18.7 2.162040859 2.5 1.708012279 5.58664007 20 24.9 0.81 8.15 18.4 2.12174326 2.5 1.71861204 5.059699934 21 23.6 0.84 8.24 18.3 2.10845764 2.5 1.771104417 4.28087745 22 23.3 0.86 8 18 2.06903675 2.5 1.779371605 3.568674586 23 22.8 0.88 7.84 17.6 2.017480247 2.5 1.775382617 2.922989941 24 22.5 0.92 7.62 17.4 1.992126564 2.5 1.832756439 1.870176544 Average 9.402295622 Average 26.325 0.69625 8.637917 18.375 2.118415003 1.474946446 8.559670772

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