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webadm
投稿日時: 2007-11-7 10:49
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登録日: 2004-11-7
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投稿: 3012
問題69:カロリーと電力
今度はカロリーと電力の関係の問題。

15℃の水200リットルを電熱器で30分加熱して40℃にするのに必要な電力を求めよというもの。正し電力の70%が水を温めるのに使用されるとする。

言い換えれば、30分間の発熱量の70%で水を所定の温度まで温めることができる電熱器の総電力量を求めよという意味。

電熱器の総電力量をPとし、30分で水を所定の温度に温めるのに必要な電力量をP0とすると

P0=P*0.7/2

という関係になる。

また容量Lリットルの水をt℃上昇させるのに必要な電力量P0は

P0=L*t/860

従ってこれらの2つの式から

P*0.7/2=L*t/860

∴P=L*t*2/(860*0.7)

L=200,t=40-15=25

を代入すると

P=200*25*2/(860*0.7)

(%i1) P=200*25*2/(860*0.7);
(%o1) P=16.61129568106312

必要な電熱器は16.6kWhということになる。

熱量と電力量の単位の関係がいまいち曖昧だ。

1ジュールは秒当たりのW数。従って1時間分の秒数を乗じればWhとなる。
1カロリーは1gの水を1℃暖めるのに必要な熱量で、1リットルの水であれば1kカロリーとなる。カロリーとJとkWhはそれぞれ変換できる。1kWh=3600kJ=860kカロリー。30分は1時間の半分なので1時間換算の半分である。単位や次元も注意しないとややこしい。
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題名 投稿者 日時
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                               問題15:アッテネーターぽい回路 webadm 2007-3-23 11:59
                                 問題16:Δ接続・Y接続 webadm 2007-3-24 12:40
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                                     問題20,21:枝電流法と網目電流法を誤解していた疑い webadm 2007-3-25 12:57
                                       問題22:電流計 webadm 2007-3-26 11:39
                                         問題23:電流計と電圧計 webadm 2007-3-26 12:03
                                           問題24:T型アッテネーター webadm 2007-3-27 11:19
                                             問題25:パイ型アッテネーター webadm 2007-3-30 19:49
                                               Re: 問題25:パイ型アッテネーター webadm 2007-4-12 11:16
                                                 Re: 問題25:パイ型アッテネーター webadm 2007-4-12 21:44
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                                                 問題27:抵抗計 webadm 2007-5-4 15:28
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                                                     問題29:ボリューム(アッテネーター) webadm 2007-8-22 18:26
                                                       問題30:ブリッジ回路解析 webadm 2007-8-26 12:05
                                                         Re: 問題30:ブリッジ回路解析 webadm 2007-8-26 22:25
                                                           Maxima超便利 webadm 2007-8-27 1:16
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                                                               問題31:ブリッジの逆接続 webadm 2007-8-30 20:03
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                                                                       問題35:内部抵抗がない剣流計を流れる電流 webadm 2007-9-6 8:42
                                                                         問題36:バイパスされたT型アッテネーター webadm 2007-9-15 3:54
                                                                           問題37:Kelvinのダブルブリッジ webadm 2007-9-15 18:10
                                                                             問題38:地絡距離測定 webadm 2007-9-15 19:36
                                                                               問題39:キャパシタの並列接続 webadm 2007-9-21 19:33
                                                                                 問題40:キャパシタの直列接続 webadm 2007-9-21 19:53
                                                                                   問題41:コンデンサの直列接続計算 webadm 2007-9-22 3:54
                                                                                     問題42:コンデンサの直・並列組み合わせ回路計算 webadm 2007-9-22 19:26
                                                                                       問題43:コンデンサのY接続 webadm 2007-9-23 3:31
                                                                                         問題44:コンデンサーのラダー回路 webadm 2007-9-23 4:42
                                                                                           問題45:充電済みコンデンサの並列接続 webadm 2007-9-23 5:21
                                                                                             問題46:充電済みコンデンサの並列接続(その2) webadm 2007-9-24 8:27
                                                                                               問題47:充電済みコンデンサの並列接続(その3) webadm 2007-9-24 9:41
                                                                                                 問題48:変わり種ブリッジ回路 webadm 2007-9-24 10:18
                                                                                                   問題49:電圧を殺す webadm 2007-9-25 5:26
                                                                                                     問題50:偏微分を使った回路解析 webadm 2007-9-27 21:39
                                                                                                       Re: 問題50:偏微分を使った回路解析 webadm 2007-9-28 5:47
                                                                                                       問題51:偏微分を使った回路解析(その2) webadm 2007-9-28 9:45
                                                                                                         問題52:偏微分を使った回路解析(その3) webadm 2007-9-28 11:56
                                                                                                           問題53:ちょっとひねった回路解析 webadm 2007-9-29 6:01
                                                                                                             問題54:ちょっとひねった回路解析(その2) webadm 2007-9-29 19:30
                                                                                                               問題55:ちょっとひねった回路解析(その3) webadm 2007-9-30 2:12
                                                                                                                 問題56:ちょっとひねった回路解析(その4) webadm 2007-9-30 22:24
                                                                                                                   問題57:無限に続く抵抗ラダー回路の解析 webadm 2007-10-3 12:16
                                                                                                                     Re: 問題57:無限に続く抵抗ラダー回路の解析 webadm 2007-10-5 8:30
                                                                                                                       Re: 問題57:無限に続く抵抗ラダー回路の解析 webadm 2007-10-7 3:17
                                                                                                                         Re: 問題57:無限に続く抵抗ラダー回路の解析 webadm 2007-10-7 3:30
                                                                                                                           Re: 問題57:無限に続く抵抗ラダー回路の解析 webadm 2007-10-7 22:30
                                                                                                                             Re: 問題57:無限に続く抵抗ラダー回路の解析 webadm 2007-10-8 5:26
                                                                                                                               問題58:n箇所つながった銅線回路 webadm 2007-10-8 11:12
                                                                                                                                 Re: 問題58:n箇所つながった銅線回路 webadm 2007-10-8 22:24
                                                                                                                                   Re: 問題58:n箇所つながった銅線回路 webadm 2007-10-9 10:27
                                                                                                                                     Re: 問題58:n箇所つながった銅線回路 webadm 2007-10-9 22:18
                                                                                                                                       Re: 問題58:n箇所つながった銅線回路 webadm 2007-10-10 4:19
                                                                                                                                         問題59:漏洩抵抗のある架線を流れる電流 webadm 2007-10-10 5:33
                                                                                                                                           Re: 問題59:漏洩抵抗のある架線を流れる電流 webadm 2007-10-11 3:06
                                                                                                                                             Re: 問題59:漏洩抵抗のある架線を流れる電流 webadm 2007-10-11 4:12
                                                                                                                                               Re: 問題59:漏洩抵抗のある架線を流れる電流 webadm 2007-10-11 5:02
                                                                                                                                                 Re: 問題59:漏洩抵抗のある架線を流れる電流 webadm 2007-10-16 18:24
                                                                                                                                                 Re: 問題59:漏洩抵抗のある架線を流れる電流 webadm 2007-10-17 9:39
                                                                                                                                                   Re: 問題59:漏洩抵抗のある架線を流れる電流 webadm 2007-10-22 0:12
                                                                                                                                                     Re: 問題59:漏洩抵抗のある架線を流れる電流 webadm 2007-10-25 22:12
                                                                                                                                                       Re: 問題59:漏洩抵抗のある架線を流れる電流 webadm 2007-10-26 4:13
                                                                                                                                                         Re: 問題59:漏洩抵抗のある架線を流れる電流 webadm 2007-10-26 4:28
                                                                                                                                                           Re: 問題59:漏洩抵抗のある架線を流れる電流 webadm 2007-10-26 20:24
                                                                                                                                                             Re: 問題59:漏洩抵抗のある架線を流れる電流 webadm 2007-10-26 20:49
                                                                                                                                                               Re: 問題59:漏洩抵抗のある架線を流れる電流 webadm 2007-10-27 11:05
                                                                                                                                                                 Re: 問題59:漏洩抵抗のある架線を流れる電流 webadm 2007-10-27 20:53
                                                                                                                                                                   Re: 問題59:漏洩抵抗のある架線を流れる電流 webadm 2007-10-29 1:45
                                                                                                                                                                     Re: 問題59:漏洩抵抗のある架線を流れる電流 webadm 2007-10-29 10:07
                                                                                                                                                                       Re: 問題59:漏洩抵抗のある架線を流れる電流 webadm 2007-10-30 4:48
                                                                                                                                                                         問題60:短くした電熱線の消費電力 webadm 2007-10-30 9:38
                                                                                                                                                                           問題61:細く短くした電熱線の消費電力 webadm 2007-10-30 10:18
                                                                                                                                                                             問題62:2つの異なる電球を直列につなぐ webadm 2007-10-31 10:39
                                                                                                                                                                               問題63:電力伝送と整合 webadm 2007-10-31 11:07
                                                                                                                                                                                 問題64:電力伝送と整合(その2) webadm 2007-11-1 10:26
                                                                                                                                                                                   問題65:電力伝送と整合(その3) webadm 2007-11-1 10:56
                                                                                                                                                                                     問題66:電池の起電力と内部抵抗を求める webadm 2007-11-1 11:25
                                                                                                                                                                                       問題67:配線抵抗のある電力伝送回路 webadm 2007-11-7 9:49
                                                                                                                                                                                         問題68:電力伝送とマッチング(電源側) webadm 2007-11-7 10:17
                                                                                                                                                                                         » 問題69:カロリーと電力 webadm 2007-11-7 10:49
                                                                                                                                                                                             問題70:電力量と比熱と融点の応用(フューズ) webadm 2007-11-8 10:54
                                                                                                                                                                                               問題71:電力量と比熱と融点の応用(フューズ)の続き webadm 2007-11-8 11:02
                                                                                                                                                                                                 問題72:合成温度係数 webadm 2007-11-8 11:20
                                                                                                                                                                                                   問題73:抵抗値による温度測定 webadm 2007-11-8 11:40
                                                                                                                                                                                                     問題74:温度係数 webadm 2007-11-8 12:45
                                                                                                                                                                                                       Re: 問題74:温度係数 webadm 2007-11-8 14:07
                                                                                                                                                                                                         Re: 問題74:温度係数 webadm 2007-11-8 14:38
                                                                                                                                                                                                           問題75:膨張係数と温度係数 webadm 2007-11-10 11:29
                                                                                                                                                                                                             問題76:導線の温度上昇 webadm 2007-11-11 13:15
                                                                                                                                                                                                               問題77:温度補償抵抗回路 webadm 2007-11-11 23:25
                                                                             Re: 問題37:Kelvinのダブルブリッジ webadm 2007-9-26 7:48
                                                 Re: 問題26:検流計の内部抵抗を求める Anonymous 2007-5-26 2:32
                                                   Re: 問題26:検流計の内部抵抗を求める webadm 2007-5-26 21:00
                                     誤植発見 webadm 2007-3-25 13:07

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