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断熱膨張による温度変化の理論計算 12-30-2015 Tohei …

1 12-30-2015 Tohei moritani Fig. 1 II Fig. 2 1 2 2 ! !! = ! !! (1) = !!!!(2) = + , Q = 0 ( )(3) = !!!!= !! !!!! !

Tohei Moritani 森谷東平 1)目的 空気の塊が周囲との熱の出入りがない状態で(断熱的に)膨張するとき の温度の変化について理論計算を実施した。空気が断熱材で囲まれていなく ても、膨張が急激に起こるときには「断熱」的な効果が大きいとされている。

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Transcription of 断熱膨張による温度変化の理論計算 12-30-2015 Tohei …

1 1 12-30-2015 Tohei moritani Fig. 1 II Fig. 2 1 2 2 ! !! = ! !! (1) = !!!!(2) = + , Q = 0 ( )(3) = !!!!= !! !!!! !

2 1 !!!!!!! (4) = ! (5) = !!!! (i: initial, f: final)(6) = !!!!(i: initial, f: final)(7) (2), (6), (7) = !! (8) (5) (3) =! !!!! = ! !!! 1 = ! !!!! 1 (9) 3) I ! = 27 C = 300 K, ! = !!!= 1/ [atm](10 ) ! = !! = , ! = !! , = !!!!= !! = 1. 4 (11 ) ! = x 105 Pa = atm (12) = 300 !.!"# 1 [ , C] (13) = +27 [ C] (14) Fig. 1 Fog Bottle Fig. 2 Formation of Cumulonimbus Cloud 2 Fig.

3 3 3) II ! = 27 C = 300 K, ! = atm = x 105 Pa (15) ! = !! = , ! = !! , = !!!! = !! = (16) ! = ! = [atm] (17) = 300 !.!"# 1 [ , C] (18) = +27 [ C] (19) Fig. 4 P: [atm], h: [m] 3,4 = (1 10!! )!.!""## (20) 5) I Fig. 3 50~80K 20 C ~ 50 C II Fig.

4 4 0 C 3000 m 1 10000~20000m 70 C 70 C (10000 m)~ 120 C (18000m) Fig. 3 T T Fig. 4 Pf T T 3 1 Cumulonimbus cloud, Wikipedia 2 (2015) 3 Altitude above sea level and air pressure 4 Atmospheric pressure, Wikipedia 5 J. Guemez et al., Physics of the fire piston and the fog bottle , Eur. J. Phys. 28 (2007) 1199 1205 6 (5)p141(2001)


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