一百毫升百分之九十五浓度的酒精如何稀释到百分之三十三？ 如何将500毫升百分之九十五的酒精稀释成百分之七十的酒精
\u628a\u767e\u5206\u4e4b\u4e5d\u5341\u4e94\u7684\u9152\u7cbe\u4e00\u767e\u6beb\u5347,\u914d\u6210\u767e\u5206\u4e4b\u4e03\u5341\u4e94\u7684\u4e94\u767e\u6beb\u5347\u9152\u7cbe\u600e\u4e48\u914d?\u914d\u4e0d\u4e86
\u767e\u5206\u4e4b\u4e5d\u5341\u4e94\u7684\u9152\u7cbe\u4e00\u767e\u6beb\u5347\uff0c\u5982\u679c\u60f3\u914d\u6210\u4e94\u767e\u6beb\u5347\u9152\u7cbe\uff0c\u9700\u8981\u52a0\u5165\u56db\u767e\u6beb\u5347\u84b8\u998f\u6c34
\u8fd9\u65f6\u9152\u7cbe\u6d53\u5ea6\u4e3a\uff1a\uff08100x90%\uff09/500=18%
\u60f3\u8981\u914d\u6210\u767e\u5206\u4e4b\u4e03\u5341\u4e94\u7684\u4e94\u767e\u6beb\u5347\u9152\u7cbe\uff0c\u9700\u8981\u767e\u5206\u4e4b\u4e5d\u5341\u4e94\u7684\u9152\u7cbe
\uff08500x75%\uff09/\uff08100x95%\uff09\u2248395\u6beb\u5347
\uff08\u52a0\u5165105\u6beb\u5347\u84b8\u998f\u6c34\u5373\u53ef\uff09
\u53ef\u4ee5\u52a0\u84b8\u998f\u6c34178.57\u6beb\u5347\u3002
\u8ba1\u7b97\u65b9\u6cd5\u5982\u4e0b\uff1a500\u6beb\u5347\u7684\u9152\u7cbe\u4e2d\uff0c\u7eaf\u9152\u7cbe\u91cf\u4e3a 500*95%=475\u6beb\u5347\uff1b
\u90a3\u4e48\u8fd9475\u6beb\u5347\u9152\u7cbe\u5982\u679c\u88ab\u7a00\u91ca\u621070%\u7684\u9152\u7cbe\u7684\u8bdd\uff0c\u603b\u91cf\u5e94\u8be5\u662f475/70%=678.57\u6beb\u5347\uff1b
\u518d\u7528678.57-500=178.57\u6beb\u5347\uff0c\u8fd9\u5c31\u662f\u591a\u52a0\u7684\u6c34\u91cf\u3002
\u6269\u5c55\u8d44\u6599
\u4e0d\u540c\u6d53\u5ea6\u9152\u7cbe\u7684\u4f5c\u7528
1\u300195%\u7684\u9152\u7cbe\u5e38\u7528\u4e8e\u64e6\u62ed\u7d2b\u5916\u7ebf\u706f
\u8fd9\u79cd\u9152\u7cbe\u5728\u533b\u9662\u5e38\u7528\uff0c\u800c\u5728\u5bb6\u5ead\u4e2d\u5219\u53ea\u4f1a\u5c06\u5176\u7528\u4e8e\u76f8\u673a\u955c\u5934\u7684\u6e05\u6d01\u3002
2\u300175%\u7684\u9152\u7cbe\u7528\u4e8e\u6d88\u6bd2
\u8fd9\u662f\u56e0\u4e3a\uff0c\u8fc7\u9ad8\u6d53\u5ea6\u7684\u9152\u7cbe\u4f1a\u5728\u7ec6\u83cc\u8868\u9762\u5f62\u6210\u4e00\u5c42\u4fdd\u62a4\u819c\uff0c\u963b\u6b62\u5176\u8fdb\u5165\u7ec6\u83cc\u4f53\u5185\uff0c\u96be\u4ee5\u5c06\u7ec6\u83cc\u5f7b\u5e95\u6740\u6b7b\u3002\u82e5\u9152\u7cbe\u6d53\u5ea6\u8fc7\u4f4e\uff0c\u867d\u53ef\u8fdb\u5165\u7ec6\u83cc\uff0c\u4f46\u4e0d\u80fd\u5c06\u5176\u4f53\u5185\u7684\u86cb\u767d\u8d28\u51dd\u56fa\uff0c\u540c\u6837\u4e5f\u4e0d\u80fd\u5c06\u7ec6\u83cc\u5f7b\u5e95\u6740\u6b7b\u3002
\u53c2\u8003\u8d44\u6599\u6765\u6e90\uff1a\u767e\u5ea6\u767e\u79d1\u2014\u533b\u7528\u9152\u7cbe
100×95%=95毫升
设需加水a毫升，那么:
95÷(a+100)×100%=33%
解方程得:a=188毫升
即:加入188毫升水可以稀释到33%。
绛旓細1銆95%閰掔簿鐨娴撳害鍊兼槸浠ヤ綋绉垎鏁帮紙%锛夎〃绀虹殑銆傚嵆100姣崌鐨勬憾娑查噷鍚湁95姣崌閰掔簿銆2銆侀厭绮剧█閲婏紝灏辨槸鎶婇珮娴撳害鐨锛95%锛夐厭绮撅紙鏈500姣崌鍖呰鐨勩95%閰掔簿锛夛紝鍔犱竴瀹氫綋绉按鍚庯紝閰嶅埗鎴愪綆娴撳害鐨勶紙75%锛夐厭绮剧殑杩囩▼銆3銆侀厤鍒100姣崌75%閰掔簿锛氳绠楀紡锛氭眰鍙95%閰掔簿鐨勪綋绉疺=锛75%涔樹互100姣崌锛夐櫎浠95%=78...
绛旓細瑙ｆ柟绋嬪緱:a=188姣崌 鍗:鍔犲叆188姣崌姘村彲浠ョ█閲婂埌33%銆
绛旓細棣栧厛锛屾垜浠渶瑕佽绠楀嚭95%閰掔簿鐨勪綋绉傚亣璁炬垜浠鍒跺100姣崌鐨75%閰掔簿婧舵恫锛屽彲浠ヤ娇鐢ㄤ互涓嬪叕寮忚绠95%閰掔簿鐨勪綋绉疺锛歏 = (75% 脳 100姣崌) / 95 灏嗘暟鍊间唬鍏ヨ绠楀緱鍒帮細V = (0.75 脳 100姣崌) / 0.95 鈮 78.9姣崌 杩欐剰鍛崇潃鎴戜滑闇瑕佸ぇ绾78.9姣崌鐨95%閰掔簿銆傛帴涓嬫潵锛屾垜浠皢杩78.9姣崌鐨95%閰...
绛旓細26.67mL鐨勬按绋閲婂嵆鍙備緥濡傚彇100mL95閰掔簿锛95/0.75=126.67锛岄渶瑕佸姞26.67mL鐨勬按锛屽氨閰嶆垚浜75搴﹂厭绮俱傞厭绮剧█閲,灏辨槸鎶婇珮娴撳害鐨锛95%锛夐厭绮撅紙鏈500姣崌鍖呰鐨勩95%閰掔簿锛,鍔犱竴瀹氫綋绉按鍚,閰嶅埗鎴愪綆娴撳害鐨勶紙渚嬪75%锛夐厭绮剧殑杩囩▼銆95%鐨勯厭绮鎰忔濆氨鏄厭绮句綋绉崰鏁翠釜婧舵恫浣撶Н鐨95%銆備緥濡100ml95%鐨...
绛旓細(w+x)*70%=w*95 w鏄師鏉95%鐨勯厭绮鐨勮川閲忥紝x鏄姞鍏ヨ捀棣忔按鐨勮川閲忋傚亣璁炬湁100ml鐨95%鐨勯厭绮撅紝瑕侀厤鎴75%鐨勯厭绮撅細100*0.95/0.75-100=26.67ml 鍋囪鏈95%鐨勯厭绮(涓嶉檺閲)锛岃閰嶆垚100ml 75%鐨勯厭绮撅細闇瑕95%鐨勯厭绮撅細100*0.75/0.95=78.95ml 闇瑕佹按锛100-78.94=21.05ml ...
绛旓細20灏辨缈樼繕浜嗭紝閭ｆ槸鎷垮嚭20鐨勯厭绮 C1V1=C2V2鎴朇1M1=C2M2鍗筹細绋閲婂墠娴撳害*绋閲婂墠娑蹭綋浣撶Н锛堣川閲忥級=绋閲婂悗娴撳害*绋閲婂悗娑蹭綋浣撶Н锛堣川閲忥級鏁咃細璁惧弽搴斿悗闇瑕佹按Xg0.95*100=0.75*锛100+X锛(80/3)g 绾︾瓑浜26.7g
绛旓細鐧惧垎涔嬩節鍗佷簲鐨勯厭绮鎬庝箞鍏戞垚75 浠500姣崌95%閰掔簿閰嶆垚75%閰掔簿涓轰緥锛500ml鐨95%閰掔簿涓惈閰掔簿锛500脳95%=475.鍔犲叆133.33ml鐨勮捀棣忔按灏卞彲浠ラ厤鎴75%鐨勯厭绮句簡銆傚鏋滅敤浜庝竴鑸搴殑娑堟瘨閰嶅厬銆傚ぇ姒傚厬50ml鐨勯厭绮捐澶氥傛槸浠ヤ綋绉垎鏁帮紝钂搁姘翠笉闇瑕佷笓闂ㄧ殑钂搁姘村埗鍙栨満鍗冲彲寰楀埌锛屼篃鍙嚜宸卞埗浣滐紝27鍊嶄緥濡傜幇鏈100...
绛旓細20灏辨缈樼繕浜嗭紝閭ｆ槸鎷垮嚭20鐨勯厭绮 C1V1=C2V2鎴朇1M1=C2M2鍗筹細绋閲婂墠娴撳害*绋閲婂墠娑蹭綋浣撶Н锛堣川閲忥級=绋閲婂悗娴撳害*绋閲婂悗娑蹭綋浣撶Н锛堣川閲忥級鏁咃細璁惧弽搴斿悗闇瑕佹按Xg0.95*100=0.75*锛100+X锛(80/3)g 绾︾瓑浜26.7g
绛旓細100ml鐧惧垎涔嬩節鍗佷簲鐨勬憾娑插鏋滈厤缃垚鐧惧垎涔嬩竷鍗佷簲鐨勬秷姣掗厭绮炬憾娑查渶瑕佸姞21.33鍏嬫按 鐧惧垎涔95鐨勯厭绮瀵嗗害鎺ヨ繎0.8g/ml.鎵浠100姣崌鐧惧垎涔95鐨勯厭绮捐川閲忎负80鍏,鍚厭绮76鍏,閰75%鐨勯厭绮惧舰鎴76/75%=101.33鍏嬫憾娑,鎵浠ラ渶瑕佸姞鍏21.33鍏嬫按
绛旓細閰嶄笉浜 鐧惧垎涔嬩節鍗佷簲鐨勯厭绮句竴鐧炬鍗锛屽鏋滄兂閰嶆垚浜旂櫨姣崌閰掔簿锛岄渶瑕佸姞鍏ュ洓鐧炬鍗囪捀棣忔按 杩欐椂閰掔簿娴撳害涓猴細锛100x90%锛/500=18 鎯宠閰嶆垚鐧惧垎涔嬩竷鍗佷簲鐨勪簲鐧炬鍗囬厭绮撅紝闇瑕佺櫨鍒嗕箣涔濆崄浜旂殑閰掔簿 锛500x75%锛/锛100x95%锛夆増395姣崌 锛堝姞鍏105姣崌钂搁姘村嵆鍙級...
