我要把75%的酒精稀释为10%的浓度需要加多少水 怎么计算 怎么把75%的酒精调成10%的酒精 配比,加多少蒸馏水?
\u6211\u8981\u628a75\uff05\u7684\u9152\u7cbe\u7a00\u91ca\u4e3a10\uff05\u7684\u6d53\u5ea6\u9700\u8981\u52a0\u591a\u5c11\u6c34 \u600e\u4e48\u8ba1\u7b97\u697c\u4e0a\u7684\u8c8c\u4f3c\u89e3\u7b54\u9519\u4e86\uff0c\u5e94\u8be5\u662f
660\u4e58\u4ee595%\u9664\u4ee5\uff08660+x\uff09=75%
\u7b97\u51fax\u5373\u53ef,
x=176
\u5373\u9700\u8981\u52a0176\u514b\u6c34
\u6211\u4eec\u9700\u8981\u6839\u636e\u9152\u7cbe\u7684\u6d53\u5ea6\u8ba1\u7b97\u51fa\u9152\u7cbe\u548c\u84b8\u998f\u6c34\u7684\u6bd4\u4f8b\uff0c\u7136\u540e\u6839\u636e\u6bd4\u4f8b\u8ba1\u7b97\u51fa\u52a0\u5165\u84b8\u998f\u6c34\u7684\u91cf
\u5df2\u77e5\u521d\u59cb\u9152\u7cbe\u7684\u6d53\u5ea6\u4e3a\uff1a75%
\u5df2\u77e5\u76ee\u6807\u9152\u7cbe\u7684\u6d53\u5ea6\u4e3a\uff1a10%
\u6211\u4eec\u9700\u8981\u6839\u636e\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97\u51fa\u9152\u7cbe\u548c\u84b8\u998f\u6c34\u7684\u6bd4\u4f8b\uff1a
\u9152\u7cbe / (\u9152\u7cbe + \u84b8\u998f\u6c34) = 75 / 100
\u9152\u7cbe / (\u9152\u7cbe + \u84b8\u998f\u6c34) = 10 / 100
\u5c06\u4e24\u4e2a\u516c\u5f0f\u8054\u7acb\uff0c\u53ef\u5f97\u5230\u4ee5\u4e0b\u65b9\u7a0b\uff1a
$75 / (alcohol_start + x) = 10 / 100$
\u79fb\u9879\u5316\u7b80\u540e\uff0c\u5f97\u5230\uff1a
$x = (75 \times 100 - 10 \times 100) / (100 - 10) = 72.22222222222223$
\u6240\u4ee5\uff0c\u9700\u8981\u52a0\u516572.22222222222223\u6beb\u5347\u84b8\u998f\u6c34\u3002
设原溶液V1升(体积),需要加水x升,则根据酒精量守恒:75%*V1=10%(V1+x),则x=6.5V1
6.5L
绛旓細1. 璁$畻鎵闇绾厭绮剧殑閲忥細鍋囪闇瑕侀厤鍒100姣崌10%鐨勯厭绮撅紝閭d箞闇瑕佺殑绾厭绮鹃噺涓10姣崌銆2. 璁$畻鎵闇姘寸殑閲忥細鍥犱负閰嶅埗鐨勬槸75%鐨勯厭绮锛屾墍浠ュ墿涓嬬殑25%鏄按銆傚洜姝わ紝鎵闇鐨勬按閲忎负100姣崌鍑忓幓10姣崌鍐嶉櫎浠25%锛屽嵆36姣崌銆3. 鍑嗗鎵闇鏉愭枡锛10姣崌绾厭绮俱36姣崌姘淬佷竴涓鍣ㄣ4. 娣峰悎锛氬皢绾厭绮惧拰娓...
绛旓細閰掔簿 / (閰掔簿 + 钂搁姘) = 10 / 100 灏嗕袱涓叕寮忚仈绔嬶紝鍙緱鍒颁互涓嬫柟绋嬶細75 / (alcohol_start + x) = 10 / 100 绉婚」鍖栫畝鍚庯紝寰楀埌锛歺 = (75 \times 100 - 10 \times 100) / (100 - 10) = 72.22222222222223 鎵浠ワ紝闇瑕佸姞鍏72.22222222222223姣崌钂搁姘淬
绛旓細杩欎釜棰樻病鏈夊畾閲,鏄病鏈夊姙娉曠畻鍑哄叿浣撴暟閲忕殑!鍋囪1鍗75%鍚噺鐨勬按绋閲鎴10%搴旇繖鏍疯绠楋細75%*1鍗/10%-1鍗=6.5鍗,鍋囧鏄1鍗囩殑璇濆氨瑕佸姞6.5鍗囨按,鍏朵粬鏁伴噺鍏紡鏄竴鏍风殑!
绛旓細杩欎釜棰樻病鏈夊畾閲忥紝鏄病鏈夊姙娉曠畻鍑哄叿浣撴暟閲忕殑锛佸亣璁1鍗75%鍚噺鐨勬按绋閲鎴10%搴旇繖鏍疯绠楋細75%*1鍗/10%-1鍗=6.5鍗囷紝鍋囧鏄1鍗囩殑璇濆氨瑕佸姞6.5鍗囨按锛屽叾浠栨暟閲忓叕寮忔槸涓鏍风殑锛
绛旓細璁閰掔簿浣撶НX(宸茬煡锛,鍔犲叆鐨勬按Y锛屾牴鎹鎰忚В鏂圭▼锛0.75X/(x+y)=5%,姹傚嚭x锛寉鐨勫叧绯伙紝寰梱=14x 姝ゆ椂灏卞彲浠ョ煡閬擄紝搴斿姞鍏14鍊嶉厭绮句綋绉殑姘村緱鍒5%鐨勯厭绮 10% 15%鐨勬柟娉曚篃涓鏍凤紝鑷繁鍙互瑙e喅鐨
绛旓細75%閰掔簿绋閲鎴20%鏂规硶锛氭眰鍙75%閰掔簿鐨勪綋绉 V =( 20%x100ml)/75% = 26.667ml 銆傚湪100 姣崌鐨勫共鐕ュ共鍑鐨勯噺绛掍腑鍔犲叆26.667ml75%閰掔簿锛岀敤钂搁姘寸█閲婅嚦100姣崌鐨勫埢绾垮嵆鍙75%閰掔簿绋鏉冮噴鎴30%鏂规硶鍚屾牱銆傚尰鐢ㄩ厭绮炬潵娴撳害75%鐨勭敤浜庢墜鏈墠鐨勭毊鑲ゆ秷姣掞紝娓呭垱绛夈75%鐨勯厭绮鍙敤浜庣毊鑲ゆ秷姣掑拰浣撴俯琛ㄧ殑娑堟瘨...
绛旓細2脳0.1梅0.75鈮0.27L 閰掔簿 2-0.27=1.73L 姘
绛旓細75=633.33(ml)銆傞渶鍔犳按=633.33-500=133.33(ml)銆備緥濡傞厤鍒100姣崌锛75%閰掔簿 锛氳绠楀紡姹傚彇95%閰掔簿鐨勪綋绉 V =( 75%x100ml)/95% = 78.9 ml 銆绋閲鎿嶄綔锛氬湪100姣崌鐨勫共鐕ュ共鍑鐨勯噺绛掍腑鍔犲叆78.9 ml .95%閰掔簿锛岀敤钂搁姘寸█閲婅嚦100姣崌鐨勫埢绾匡紝鐒跺悗杞Щ鍒拌瘯鍓傜摱涓紝璐翠笂鏍囩銆
绛旓細棣栧厛75%鏄寚鐨勯厭绮炬墍鍗犵殑浣撶Н姣斻傚鏋100ML75%鐨勯厭绮鍚噺鍒欎负75ML锛屾墍鏈夋垜浠厛鍙75%閰掔簿鍙栧嚭100ML鏀惧叆閲忕瓛涓垯鍏堕厭绮惧惈閲忔槸75ML銆傚皢閲忕瓛鍐100ml鐨75%閰掔簿杞叆鐑ф澂涓傜劧鍚庤绠绋閲婁负30%鐨勯厭绮鹃渶瑕佸姞鍏ュ灏戣捀棣忔按鏂规硶鏄細閰嶆瘮鎴30%閰掔簿75ML/30%=250ML鎵闇瑕佺殑钂搁姘250ML-75ML=175ML銆傛墍浠ョ敤閲忕瓛閲忓彇...
绛旓細V1 锛绋閲鍓嶆祿婧舵恫鐨勪綋绉紱V2 锛氱█閲婂悗婧舵恫鐨勪綋绉 锛夛紝鍒楀嚭璁$畻寮0.95*500=0.70*V2锛涢氳繃璁$畻鍙緱V2=678.6锛屾墍浠ョ█閲婂悗鐨勪綋绉簲璇ヤ负678.6ml锛岄渶瑕佹坊鍔178.6ml钂搁姘淬2銆佺█閲 鐢ㄩ噺绛掓垨鍏朵粬閲忓叿閲忓彇178.6ml钂搁姘达紝鐒跺悗鍔犲叆500姣崌鐧惧垎涔嬩節鍗佷簲鐨勯厭绮涓紝娣峰寑鍚庡嵆寰楀埌鐧惧垎涔嬩竷鍗佺殑閰掔簿銆