[{"data":1,"prerenderedAt":61},["ShallowReactive",2],{"q-112190-arch_environment-5":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-112190-801-0104-005","architect","112190",112,"建築環境控制",5,null,"單層均質材料的隔音性能與面密度有關，在質量控制頻域下，依質量法則（Mass Law）公式推算，某單層均質材料之面密度為 20 kg\u002Fm2 ，於 500 Hz 中心頻率的聲音透過損失 TL （Transmission Loss），最接近多少 dB？",{"A":14,"B":15,"C":16,"D":17},"43","33","38","28",[19],"B","single",[],"本題考點：單層均質牆板在質量控制頻域的隔音性能——質量法則（Mass Law）以面密度 m 與頻率 f 的乘積推估透過損失 TL，常用近似式為 TL = 20 log(m × f) − 47（dB）。\n【正解理由】聲波打在牆板上，使牆板跟著振動並向另一側再輻射聲音；牆板越重、聲音頻率越高，牆板越難被推動，傳過去的聲能就越少。在質量控制頻域內，這個關係可寫成 TL = 20 log(m × f) − 47，其中 m 為面密度（kg\u002Fm²），f 為頻率（Hz）。本題 m = 20 kg\u002Fm²，f = 500 Hz，先求乘積 m × f = 20 × 500 = 10000，而 10000 是 10 的 4 次方，所以 log(10000) = 4；代回公式得 TL = 20 × 4 − 47 = 33 dB。計算結果與選項 (B) 相符，故選 B。\n【逐項排除】\n(A) 43 dB：比依質量法則算出的 33 dB 高出許多，等於高估了這片牆板的隔音能力；面密度 20 kg\u002Fm²、頻率 500 Hz 的條件下，透過損失應約為 33 dB。\n(B) 33 dB：m × f = 10000，取對數為 4，再代入 TL = 20 × 4 − 47 = 33 dB，面密度、頻率與公式常數都正確代入，為本題所求。\n(C) 38 dB：比 33 dB 高，仍屬高估；在相同面密度與頻率下，質量法則推得的透過損失應為 33 dB。\n(D) 28 dB：比 33 dB 低，屬低估；依質量法則代入題目條件，透過損失應為 33 dB。\n【演算步驟】\n公式：TL = 20 log(m × f) − 47（dB）\n代入：m × f = 20 kg\u002Fm² × 500 Hz = 10000\n取對數：log(10000) = 4（10000 為 10 的 4 次方）\n結果：TL = 20 × 4 − 47 = 33 dB\n【記憶點】質量法則看的是「面密度 × 頻率」的對數，越重、頻率越高越好隔；先算乘積、再取對數、最後套常數。",661,1,true,[27,30,33,36,39,42],{"number":28,"session":7,"stem":29},2,"下列何種換氣方式適合新冠肺炎（COVID-19）病人的隔離病房？",{"number":31,"session":7,"stem":32},3,"有關綠建材標章之防音綠建材評估要項，下列敘述何者正確？",{"number":34,"session":7,"stem":35},4,"有關無障礙廁所盥洗室之說明，下列何者錯誤？",{"number":37,"session":7,"stem":38},6,"小巨蛋演唱會彩排進行時，舞台上 3 組分散式監聽揚聲器同時驅動，測得聲壓級均為 80…",{"number":40,"session":7,"stem":41},7,"有關室內空氣污染物產生之來源，下列敘述何者錯誤？",{"number":43,"session":7,"stem":44},8,"在一座游泳池體育館中，有關體育館餘（迴）響時間的敘述，下列何者錯誤？",[46,49,52,55,58],{"number":10,"session":47,"stem":48},"114180","下列那個措施無法防止冬季時壁體表面結露的發生？",{"number":10,"session":50,"stem":51},"113190","下列何者是高層建築物設置中間水槽或減壓閥的給水壓力（kg\u002Fcm2）臨界標準？",{"number":10,"session":53,"stem":54},"111180","若屋頂版的面積為 100 m2，整體構造材料的熱傳透率 U 值為 0.6 kcal\u002F…",{"number":10,"session":56,"stem":57},"110180","下列空間或場所作業之照度需求，何者要求最高？",{"number":10,"session":59,"stem":60},"109180","依據建築技術規則，一般居室之開口或開窗之有效通風面積與室內樓地板面積的百分比，不得小…",1791863200913]