高中物理，关于汞柱和压强的换算关系。206mm的水柱等于多少汞柱？？？... 1个标准大气压等于多少mm汞柱等于多少mm的水柱等于多少Pa
1cm\u6c34\u67f1\u7b49\u4e8e\u591a\u5c11mm\u6c5e\u67f1\uff1f0.7353mm\u6c5e\u67f1\u3002
\u89e3\u7b54\u8fc7\u7a0b\u5982\u4e0b\uff1a
\uff081\uff091\u6807\u51c6\u5927\u6c14\u538b=760mm\u6c5e\u67f1=10336mm\u6c34\u67f1=101325\u5e15\u65af\u5361\u3002
\uff082\uff09\u5728\u6807\u51c6\u5927\u6c14\u538b\u4e0b\uff1a760mm\u6c5e\u67f1=10336mm\u6c34\u67f1\u3002
\uff083\uff091mm\u6c34\u67f1=760/10336mm\u6c5e\u67f1\u3002
\uff084\uff091cm\u6c34\u67f1=7600/10336mm\u6c5e\u67f1=0.7353mm\u6c5e\u67f1\u3002
\u6269\u5c55\u8d44\u6599\uff1a
\u5927\u6c14\u538b\u4e0d\u662f\u56fa\u5b9a\u4e0d\u53d8\u7684\u3002\u4e3a\u4e86\u6bd4\u8f83\u5927\u6c14\u538b\u7684\u5927\u5c0f\uff0c\u57281954\u5e74\u7b2c\u5341\u5c4a\u56fd\u9645\u8ba1\u91cf\u5927\u4f1a\u4e0a\uff0c\u79d1\u5b66\u5bb6\u5bf9\u5927\u6c14\u538b\u89c4\u5b9a\u4e86\u4e00\u4e2a\u201c\u6807\u51c6\u201d\uff1a\u5728\u7eac\u5ea645\u00b0\u7684\u6d77\u5e73\u9762\u4e0a\uff0c\u5f53\u6e29\u5ea6\u4e3a0\u2103\u65f6\uff0c760\u6beb\u7c73\u9ad8\u6c34\u94f6\u67f1\u4ea7\u751f\u7684\u538b\u5f3a\u53eb\u505a\u6807\u51c6\u5927\u6c14\u538b\u3002
\u65e2\u7136\u662f\u201c\u6807\u51c6\u201d\uff0c\u5728\u6839\u636e\u6db2\u4f53\u538b\u5f3a\u516c\u5f0f\u8ba1\u7b97\u65f6\u5c31\u8981\u6ce8\u610f\u5404\u7269\u7406\u91cf\u53d6\u503c\u7684\u51c6\u786e\u6027\u3002\u4ece\u6709\u5173\u8d44\u6599\u4e0a\u67e5\u5f97\uff1a0\u2103\u65f6\u6c34\u94f6\u7684\u5bc6\u5ea6\u4e3a13.595\u00d710^3\u5343\u514b/m³\uff0c\u7eac\u5ea645\u00b0\u7684\u6d77\u5e73\u9762\u4e0a\u7684G\u503c\u4e3a9.80672\u725b/\u5343\u514b\u3002\u4e8e\u662f\u53ef\u5f97760\u6beb\u7c73\u9ad8\u6c34\u94f6\u67f1\u4ea7\u751f\u7684\u538b\u5f3a\u4e3a\uff1a
p\u6c34\u94f6=\u03c1\u6c34\u94f6gh=13.595\u00d710^3\u5343\u514b/m³\u00d79.80672\u725b/\u5343\u514b\u00d70.76\u7c73=1.01325\u00d7105\u5e15\u3002
\u53c2\u8003\u8d44\u6599\uff1a\u767e\u5ea6\u767e\u79d1-\u6807\u51c6\u5927\u6c14\u538b
1\u6807\u51c6\u5927\u6c14\u538b=760mm\u6c5e\u67f1=10.339m\u6c34\u67f1=1.01325\u00d710^5Pa\u3002
p\u6c34\u94f6=\u03c1\u6c34\u94f6gh=13.595\u00d710^3\u5343\u514b/m³\u00d79.80672\u725b/\u5343\u514b\u00d70.76\u7c73=1.01325\u00d710^5\u5e15\u3002\u5927\u6c14\u538b\u7684\u6807\u51c6\u73af\u5883\u4e3a\uff1a\u5728\u7eac\u5ea645\u00b0\u7684\u6d77\u5e73\u9762\u4e0a\uff0c\u5f53\u6e29\u5ea6\u4e3a0\u2103\u65f6\uff0c760\u6beb\u7c73\u9ad8\u6c34\u94f6\u67f1\u4ea7\u751f\u7684\u538b\u5f3a\u53eb\u505a\u6807\u51c6\u5927\u6c14\u538b\u3002
\u6269\u5c55\u8d44\u6599\uff1a
\u5927\u6c14\u538b\u7684\u53d8\u5316\u8ddf\u9ad8\u5ea6\u6709\u5173\u3002\u5927\u6c14\u538b\u662f\u7531\u5927\u6c14\u5c42\u53d7\u5230\u91cd\u529b\u4f5c\u7528\u800c\u4ea7\u751f\u7684\uff0c\u79bb\u5730\u9762\u8d8a\u9ad8\u7684\u5730\u65b9\uff0c\u5927\u6c14\u5c42\u5c31\u8d8a\u8584\uff0c\u90a3\u91cc\u7684\u5927\u6c14\u538b\u5c31\u5e94\u8be5\u8d8a\u5c0f\u3002\u4e0d\u8fc7\uff0c\u7531\u4e8e\u8ddf\u5927\u6c14\u5c42\u53d7\u5230\u7684\u91cd\u529b\u6709\u5173\u7684\u7a7a\u6c14\u5bc6\u5ea6\u968f\u9ad8\u5ea6\u53d8\u5316\u4e0d\u5747\u5300\uff0c\u56e0\u6b64\u5927\u6c14\u538b\u968f\u9ad8\u5ea6\u51cf\u5c0f\u4e5f\u662f\u4e0d\u5747\u5300\u7684\u3002\u968f\u9ad8\u5ea6\u7684\u53d8\u5316\u60c5\u51b5\uff1a\u5927\u6c14\u538b\u5f3a\u968f\u9ad8\u5ea6\u7684\u589e\u52a0\u800c\u51cf\u5c0f\u3002
\u5927\u6c14\u538b\u7684\u53d8\u5316\u8fd8\u8ddf\u5929\u6c14\u6709\u5173\u3002\u5728\u4e0d\u540c\u65f6\u95f4\uff0c\u540c\u4e00\u5730\u65b9\u7684\u5927\u6c14\u538b\u5e76\u4e0d\u5b8c\u5168\u76f8\u540c\u3002\u6211\u4eec\u77e5\u9053\uff0c\u6c34\u84b8\u6c14\u7684\u5bc6\u5ea6\u6bd4\u7a7a\u6c14\u5bc6\u5ea6\u5c0f\uff0c\u5f53\u7a7a\u6c14\u4e2d\u542b\u6709\u8f83\u591a\u6c34\u84b8\u6c14\u65f6\uff0c\u7a7a\u6c14\u5bc6\u5ea6\u8981\u53d8\u5c0f\uff0c\u5927\u6c14\u538b\u4e5f\u968f\u7740\u964d\u4f4e\u3002
\u53c2\u8003\u8d44\u6599\u6765\u6e90\uff1a\u767e\u5ea6\u767e\u79d1-\u6807\u51c6\u5927\u6c14\u538b
对水来说密度ρ=1.0*10^3kg/m^3
对水银（汞）来说密度ρ=13.6*10^3kg/m^3
压强相等，所以求h比只要用密度比就行了
ρ1gh1=ρ2gh2
h2=(ρ1/ρ2)h1
206mm的水柱除13.6=15mm汞柱
液体压强
P=ρgh
ρ汞gh汞=ρ水gh水
ρ汞h汞=ρ水h水
h汞=(ρ水/ρ汞)h水
=(1/13.6)×206mmHg
≈15.147mmHg
利用压强公式：P=ρgh
可以得出水柱的高度与汞柱的高度之比等于密度的反比
h水：h汞=ρ汞：ρ水
h汞=15mm
哦
3-3的知识，忘得差不多了，一个压强对应76mmhg，约为10m水柱，经过换算约为1.5656mmhg高度。
绛旓細1姣背姹炴煴=0.133鍗冨笗=133Pa 娑蹭綋鍘嬪己鍏紡锛歅=蟻gH锛屜佹睘=13.6脳10³kg/m³锛実=9.8m/s²锛孒=1mm=0.001m锛屼唬鍏ヨ绠楋細P=13.6脳10³脳9.8脳0.001=133.28锛圥a锛夋崲绠楀彛璇锛氬崈甯曟崲绠楁垚姣背姹炴煴锛屽師鏁颁箻30闄や互4锛涙绫虫睘鏌辨崲绠楁垚鍗冨笗锛屽師鏁颁箻4闄や互30銆
绛旓細鍘嬪己鐨勮绠楀叕寮忔槸锛歱=F/S锛屽帇寮虹殑鍗曚綅鏄笗鏂崱(绠绉板笗)锛岀鍙锋槸Pa銆 澶ф皵鍘嬪己涓庢睘鏌卞叧绯伙細 鍦伴潰涓婃爣鍑嗗ぇ姘斿帇绾︾瓑浜760姣背楂樻按閾舵煴浜х敓鐨勫帇寮恒傜敱浜庢祴閲忓湴鍖虹瓑鏉′欢鐨勫奖鍝嶏紝鎵娴嬫暟鍊间笉鍚屻 鏍规嵁娑蹭綋鍘嬪己鐨勫叕寮弍=蟻gh锛屾按閾剁殑瀵嗗害鏄13.6脳10^3鍗冨厠/绔嬫柟绫筹紝鍥犳76鍘樼背楂樻按閾舵煴浜х敓鐨勬爣鍑嗗ぇ姘斿帇寮烘槸锛...
绛旓細鏍囧噯澶ф皵鍘( 1.013X10^5 Pa)鍐呭彲浠ヨ繖鏍锋崲绠楋細P=1.013X10^5 Pa=760mmHg 鎴100鍗冨笗=1鍗冩宸粹増3/4绫虫按閾舵煴楂锛岀簿纭浆鎹㈡槸1mmHg=20265/152鈮133.32236842105 Pa銆備笖1姣背姹炴煴杞崲涓烘按鏌变负L=10.34m/760=0.013605m 鍚屾椂姣背姹炴煴涓庢墭锛圱orr锛夌瓑浠凤紝骞朵笖鍧囦笉鏄浗闄呭崟浣嶅埗鍗曚綅鎴愬憳锛屽笗鏂崱鍒欎负鍘嬪己...
绛旓細1mmHg=1.01325*10^5Pa/760=133.32pa銆傛牴鎹恫浣撳帇寮虹殑鍏紡p=蟻gh锛屾按閾剁殑瀵嗗害鏄13.6脳10^3鍗冨厠/绔嬫柟绫筹紝鍥犳76鍘樼背楂樻按閾舵煴浜х敓鐨勬爣鍑嗗ぇ姘斿帇寮烘槸锛歱=13.6脳10^3鍗冨厠/绔嬫柟绫趁9.8鐗涢】/鍗冨厠脳0.76绫 鈮1.013脳10^5鐗涢】/骞虫柟绫 =1.013脳10^5甯曟柉鍗 ...
绛旓細1涓爣鍑嗗ぇ姘斿帇绛変簬760mm姹炴煴锛岀瓑浜10339mm鐨勬按鏌憋紝绛変簬101325Pa銆傝В锛氫笖宸茬煡姹(Hg)鐨勫瘑搴ο=13590kg/m^3锛屾按鐨勫瘑搴ο=1000kg/m^3锛岄噸鍔涘父鏁癵=9.8N/kg銆傚洜涓烘牴鎹帇寮哄叕寮忥紝P=F/S=mg/S=蟻Sh*g/S=蟻gh锛屽彲姹傚緱1mm姹炴煴鐨勫帇寮轰负锛孭=13590kg/m^3x9.8N/kgx1mm =133.182Pa銆傚悓鏍峰埄鐢...
绛旓細鏍规嵁娑蹭綋鍘嬪己鐨鍏紡p=蟻gh锛屾按閾剁殑瀵嗗害鏄13.6脳10^3鍗冨厠/绔嬫柟绫筹紝76鍘樼背楂姘撮摱鏌浜х敓鐨勬爣鍑嗗ぇ姘斿帇寮烘槸1.013脳10^5甯曟柉鍗
绛旓細1.013X10^5 Pa)鍐呭彲浠ヨ繖鏍鎹㈢畻锛歅=1.013X10^5 Pa=760mmHg 鎴100鍗冨笗=1鍗冩宸粹増3/4绫虫按閾舵煴楂橈紝绮剧‘杞崲鏄1mmHg=20265/152鈮133.32236842105 Pa銆備笖1姣背姹炴煴杞崲涓烘按鏌变负L=10.34m/760=0.013605m 鍚屾椂姣背姹炴煴涓鎵橈紙Torr锛夌瓑浠凤紝骞朵笖鍧囦笉鏄浗闄呭崟浣嶅埗鍗曚綅锛屽笗鏂崱鍒欎负鍘嬪己鐨鍥介檯鍗曚綅銆
绛旓細涓涓爣鍑嗗ぇ姘斿帇鍐鎹㈢畻锛歅=1.013X10⁵Pa=760mm路Hg銆傜簿纭浆鎹㈡槸760mmHg=101325Pa锛1kPa=1000Pa锛屽垯760mmHg=101.325kPa锛1mmHg=0.13328kPa銆傚湴闈笂鏍囧噯澶ф皵鍘嬬害绛変簬760姣背楂姘撮摱鏌浜х敓鐨勫帇寮猴紝鐢变簬娴嬮噺鍦板尯绛夋潯浠剁殑褰卞搷锛屾墍娴嬫暟鍊间笉鍚屻傛牴鎹恫浣鍘嬪己鐨鍏紡p=蟻gh锛屾按閾剁殑瀵嗗害鏄13.6脳10&#...
绛旓細1鏍囧噯澶ф皵鍘=760mm姹炴煴=10.339m姘存煴=1.01325脳10^5Pa銆俻姘撮摱=蟻姘撮摱gh=13.595脳10^3鍗冨厠/m³脳9.80672鐗/鍗冨厠脳0.76绫=1.01325脳10^5甯曘傚ぇ姘斿帇鐨鏍囧噯鐜涓猴細鍦ㄧ含搴45掳鐨勬捣骞抽潰涓婏紝褰撴俯搴︿负0鈩冩椂锛760姣背楂姘撮摱鏌浜х敓鐨勫帇寮哄彨鍋氭爣鍑嗗ぇ姘斿帇銆
绛旓細鎹㈢畻鐨勬柟娉曪細1mmHg(姣背姹炴煴)锛0锛133kPa(鍗冨笗鏂崱)鏍囧噯澶姘斿帇=760姣背姹炴煴=76鍘樼背姹炴煴=1.013脳105甯曟柉鍗=10.336绫虫按鏌.748姣背姹炴煴 = 99.6968鍗冨笗鏂崱 鏍囧噯澶ф皵鍘嬪肩殑瑙勫畾
