[{"data":1,"prerenderedAt":61},["ShallowReactive",2],{"q-110180-arch_environment-18":3},{"question":4,"neighbors":26,"sameNumber":45,"prev":34,"next":37},{"id":5,"classKey":6,"session":7,"year":8,"subject":9,"number":10,"groupStem":11,"ownStem":12,"stem":12,"options":13,"answer":18,"answerKind":20,"answerS":11,"answerNote":11,"images":21,"explanation":22,"withheld":11,"deepChars":23,"freq":24,"indexable":25},"arch-110180-801-0104-018","architect","110180",110,"建築環境控制",18,null,"某室內空間在無風狀態下，若將高低兩扇窗中心點的距離拉大至原距離的 4 倍，則重力通風的換氣量會如何改變？",{"A":14,"B":15,"C":16,"D":17},"1\u002F2 倍","2倍","4倍","16 倍",[19],"B","single",[],"本題考點：無風時的重力通風（溫差通風、煙囪效應），換氣量與高低開口中心間垂直距離的平方根成正比。\n【正解理由】無風狀態下，室內外溫差造成空氣密度差，高低兩開口之間形成壓力差 Δp = (ρ_o − ρ_i) × g × h，與開口中心垂直距離 h 成正比。開口處的風速由壓力差推動，依白努利原理，流速與壓力差的平方根成正比，所以換氣量 Q = α A √(2 g h Δt \u002F T_i)（α 為流量係數、A 為開口有效面積、Δt 為室內外溫差、T_i 為室內絕對溫度），Q 與 √h 成正比。距離拉大為原來的 4 倍，其他條件不變，換氣量變為 √4 = 2 倍，故選 B。\n【逐項排除】\n(A) 1\u002F2 倍：這是把換氣量誤當成與高差平方根成反比，得 1 \u002F √4 = 1\u002F2。實際上高差越大，溫差浮力造成的壓力差越大，換氣量隨之增加，方向相反；正確為 √4 = 2 倍。\n(B) 2 倍：正確。換氣量與 √h 成正比，高差 4 倍時換氣量為 √4 = 2 倍，符合題目所問。\n(C) 4 倍：這是把換氣量當成與高差一次方成正比。與 h 成正比的是驅動的壓力差，換氣量取決於流速，而流速只與壓力差的平方根成正比，所以換氣量應為 2 倍。\n(D) 16 倍：這是把換氣量誤當成與高差平方成正比，得 4 × 4 = 16，關係式的次方方向弄反；換氣量是高差的二分之一次方，正確為 2 倍。\n【演算步驟】\n重力通風換氣量公式：Q = α A √(2 g h Δt \u002F T_i)（Q 單位 m³\u002Fs，h 單位 m）\n原狀態：Q₁ = α A √(2 g h Δt \u002F T_i)（m³\u002Fs）\n距離拉大後：Q₂ = α A √(2 g × 4h × Δt \u002F T_i)（m³\u002Fs）\n比值：Q₂ \u002F Q₁ = √(4h \u002F h) = √4 = 2（因 2 × 2 = 4，無單位）\n結果：換氣量變為原來的 2 倍。\n【記憶點】重力通風看「根號高差」：高差 4 倍換氣量 2 倍；開口面積才是一次方。",650,1,true,[27,30,33,36,39,42],{"number":28,"session":7,"stem":29},15,"某鋼筋混凝土屋頂構造，計算屋頂平均熱傳透率 Uar 時，不包括下列那個項目？",{"number":31,"session":7,"stem":32},16,"下列那一材料表面較不易發生結露？",{"number":34,"session":7,"stem":35},17,"依據我國室內空氣品質管理法，下列室內空氣品質指標及標準值何者錯誤？",{"number":37,"session":7,"stem":38},19,"有關自然光及人工照明之光源敘述，下列何者錯誤？",{"number":40,"session":7,"stem":41},20,"在開單面側窗且外部無障礙物的情形下，下列示意圖中何者較符合漫射日光在室內的照度分布狀…",{"number":43,"session":7,"stem":44},21,"關於室內光環境的品質，下列敘述何者錯誤？",[46,49,52,55,58],{"number":10,"session":47,"stem":48},"114180","相較於中高頻率隔音性能，下列何種構造組合，低頻的隔音性能較佳？",{"number":10,"session":50,"stem":51},"113190","關於開窗形式對自然採光的影響，下列敘述何者正確？",{"number":10,"session":53,"stem":54},"112190","關於 600 W 攜帶式石英燈管電暖器的熱效應現象，下列敘述何者正確？",{"number":10,"session":56,"stem":57},"111180","有關吸音力之敘述，下列何者錯誤？",{"number":10,"session":59,"stem":60},"109180","下列何種建築用途之每人每日用水量最大？",1791863205300]