现有40%的氧化乐果100 g,需兑水稀释50倍。试求需加水多少? 理工学科->化学
\u6709\u5173\u5316\u5b66\u7684\u751f\u6d3b\u5c0f\u5e38\u8bc61\u3001\u8c46\u8150\u4e0d\u53ef\u4e0e\u83e0\u83dc\u4e00\u8d77\u716e\u3002\u8349\u9178\u9499\u662f\u4eba\u4f53\u5185\u4e0d\u80fd\u5438\u6536\u7684\u6c89\u6dc0\u7269 \u3002\u83e0\u83dc\u3001\u6d0b\u8471\u3001\u7af9\u7b0b\u4e2d\u542b\u6709\u4e30\u5bcc\u7684\u8349\u9178\u3001\u8349\u9178\u94a0 \uff0c\u8c46\u8150\u4e2d\u542b\u6709\u8f83\u591a\u7684\u9499\u76d0\uff0c\u5982\u786b\u9178\u9499\u7b49\u6210\u5206\u3002\u4e0a\u8ff0\u7269\u8d28\u53ef\u4ee5\u53d1\u751f\u590d\u5206\u89e3\u53cd\u5e94\uff0c\u751f\u6210\u8349\u9178\u9499\u6c89\u6dc0\u7b49\u7269\u8d28\u3002
2\u3001\u94dd\u5bf9\u4eba\u4f53\u5065\u5eb7\u7684\u5371\u5bb3\u3002\u94dd\u4e00\u76f4\u88ab\u4eba\u4eec\u8ba4\u4e3a\u662f\u65e0\u6bd2\u5143\u7d20\uff0c\u56e0\u800c\u94dd\u5236\u996e\u5177\u3001\u542b\u94dd\u84ec\u677e\u5242\u53d1\u9175\u7c89\u3001\u51c0\u6c34\u5242\u7b49\u88ab\u5927\u91cf\u4f7f\u7528\u3002
3\u3001\u7092\u83dc\u65f6\u4e0d\u5b9c\u628a\u6cb9\u70e7\u5f97\u5192\u70df\uff0c\u6cb9\u5728\u9ad8\u6e29\u65f6\uff0c\u5bb9\u6613\u751f\u6210\u4e00\u79cd\u591a\u73af\u5316\u5408\u7269\uff0c\u4e00\u822c\u690d\u7269\u6cb9\u542b\u7684\u4e0d\u9971\u548c\u8102\u80aa\u9178\u591a\uff0c\u66f4\u5bb9\u6613\u5f62\u6210\u591a\u73af\u5316\u5408\u7269\uff0c\u5b9e\u9a8c\u8bc1\u660e\uff0c\u591a\u73af\u5316\u5408\u7269\u6613\u4e8e\u8bf1\u53d1\u52a8\u7269\u5f97\u8180\u80f1\u764c\u3002
\u6269\u5c55\u8d44\u6599\uff1a
1\u3001\u5316\u5b66\u7684\u7279\u70b9\uff1a
\u5316\u5b66\u662f\u91cd\u8981\u7684\u57fa\u7840\u79d1\u5b66\u4e4b\u4e00\uff0c\u662f\u4e00\u95e8\u4ee5\u5b9e\u9a8c\u4e3a\u57fa\u7840\u7684\u5b66\u79d1\uff0c\u5728\u4e0e\u7269\u7406\u5b66\u3001\u751f\u7269\u5b66\u3001\u5730\u7406\u5b66\u3001\u5929\u6587\u5b66\u7b49\u5b66\u79d1\u7684\u76f8\u4e92\u6e17\u900f\u4e2d\uff0c\u5f97\u5230\u4e86\u8fc5\u901f\u7684\u53d1\u5c55\uff0c\u4e5f\u63a8\u52a8\u4e86\u5176\u4ed6\u5b66\u79d1\u548c\u6280\u672f\u7684\u53d1\u5c55\u3002
2\u3001\u5316\u5b66\u7684\u7814\u7a76\u5bf9\u8c61\uff1a
\u5316\u5b66\u5bf9\u6211\u4eec\u8ba4\u8bc6\u548c\u5229\u7528\u7269\u8d28\u5177\u6709\u91cd\u8981\u7684\u4f5c\u7528\u3002\u5b87\u5b99\u662f\u7531\u7269\u8d28\u7ec4\u6210\u7684\uff0c\u5316\u5b66\u5219\u662f\u4eba\u7c7b\u8ba4\u8bc6\u548c\u6539\u9020\u7269\u8d28\u4e16\u754c\u7684\u4e3b\u8981\u65b9\u6cd5\u548c\u624b\u6bb5\u4e4b\u4e00\uff0c\u5b83\u662f\u4e00\u95e8\u5386\u53f2\u60a0\u4e45\u800c\u53c8\u5bcc\u6709\u6d3b\u529b\u7684\u5b66\u79d1\uff0c\u4e0e\u4eba\u7c7b\u8fdb\u6b65\u548c\u793e\u4f1a\u53d1\u5c55\u7684\u5173\u7cfb\u975e\u5e38\u5bc6\u5207\uff0c\u5b83\u7684\u6210\u5c31\u662f\u793e\u4f1a\u6587\u660e\u7684\u91cd\u8981\u6807\u5fd7\u3002
\u53c2\u8003\u8d44\u6599\u6765\u6e90\uff1a\u767e\u5ea6\u767e\u79d1\u2014\u5316\u5b66
\u89e3\uff1a
\u5728\u6e29\u5ea6\u538b\u5f3a\u76f8\u540c\u7684\u60c5\u51b5\u4e0b\uff0c\u540c\u6837\u4f53\u79ef\u7684\u6c2e\u6c14\u4e0e\u6c27\u6c14\u8d28\u91cf\u6bd4\u4e3a\u5176\u76f8\u5bf9\u5206\u5b50\u8d28\u91cf\u4e4b\u6bd4\uff0c\u6c2e\u6c14\u7684\u76f8\u5bf9\u5206\u5b50\u8d28\u91cf\u662f 14.0067\u00d72 = 28.0134 \u3002\u6c27\u6c14\u7684\u76f8\u5bf9\u5206\u5b50\u8d28\u91cf\u662f 15.9994\u00d72 = 29.9988 \u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u540c\u6837\u4f53\u79ef\u6c2e\u6c14\u4e0e\u6c27\u6c14\u8d28\u91cf\u6bd4\u4e3a 28.0134 : 29.9988 \u3002
\u5728\u7a7a\u6c14\u4e2d\uff0c\u6c2e\u6c14\u4e0e\u6c27\u6c14\u7684\u8d28\u91cf\u6bd4\u4e3a 75.47 : 23.20
\u8bbe\u6c27\u6c14\u4f53\u79ef\u4e3a V \uff0c\u6c2e\u6c14\u4f53\u79ef\u662f\u6c27\u6c14\u4f53\u79ef\u7684 x \u500d\u3002\u90a3\u4e48\u6c2e\u6c14\u4f53\u79ef\u662f Vx
(V\u00b7\u6c2e\u6c14\u5bc6\u5ea6) : (V\u00b7\u6c27\u6c14\u5bc6\u5ea6) = 28.0134 : 29.9988
(Vx\u00b7\u6c2e\u6c14\u5bc6\u5ea6) : (V\u00b7\u6c27\u6c14\u5bc6\u5ea6) = 75.47% : 23.20%
\u4e8c\u5f0f\u76f8\u9664\uff0c\u5f97\u5230
1/x = (28.0134 \u00f7 29.9988) \u00f7 (75.47% \u00f7 23.20%)
\u7b97\u5f97 x = 3.483(6)
\u6709\u6548\u6570\u5b57\u5e94\u8be5\u662f\u56db\u4f4d\uff0c\u591a\u7559\u4e00\u4f4d\u4ee5\u4fbf\u4e4b\u540e\u8ba1\u7b97\u3002
\u5982\u679c\u4f7f\u7528\u6574\u6570\u7684\u76f8\u5bf9\u539f\u5b50\u8d28\u91cf\uff0cx = 3.48538\u2026\u2026
\u8bbe\u5176\u5b83\u6c14\u4f53\u4f53\u79ef\u5206\u6570 a% \uff0c\u5bc6\u5ea6\u4e3a \u03c1 \u3002
\u6c27\u6c14\u4f53\u79ef\u5206\u6570\u4e3a (1 - a%)/(x + 1)\uff0c\u5219\u6c2e\u6c14\u4f53\u79ef\u5206\u6570\u4e3a x(1 - a%)/(x + 1) \u3002\u8fd9\u91cc\u8fb9 x \u662f\u5df2\u7ecf\u6c42\u51fa\u6765\u7684\uff0c\u662f\u7cfb\u6570\uff0ca \u624d\u662f\u672a\u77e5\u6570\u3002
\u6240\u6709\u6c14\u4f53\u7684\u4f53\u79ef\u5206\u6570\u5206\u522b\u4e58\u4ee5\u5176\u5bc6\u5ea6\u4e4b\u548c\uff0c\u7b49\u4e8e\u7a7a\u6c14\u7684\u5bc6\u5ea6\u3002\u6839\u636e\u6761\u4ef6\uff0c\u53ef\u4ee5\u5217\u51fa\u65b9\u7a0b\u7ec4
\u03c1a% + (1 - a%)/(x + 1)\u03c1\u6c27\u6c14 + x(1 - a%)/(x + 1)\u03c1\u6c2e\u6c14 = \u03c1\u7a7a\u6c14
\u03c1a% / \u03c1\u7a7a\u6c14 = 1.33%
\u7531\u4e0b\u8fb9\u8fd9\u4e2a\u65b9\u7a0b\u5f97\u5230 \u03c1 = 0.0133\u03c1\u7a7a\u6c14 / a%
\u4e8e\u662f\u4e0a\u8fb9\u90a3\u4e2a\u65b9\u7a0b\u53d8\u6210\u5982\u4e0b\u5f62\u5f0f
1.33\u03c1\u7a7a\u6c14 + (1 - a%)/(x + 1)\u03c1\u6c27\u6c14 + x(1 - a%)/(x + 1)\u03c1\u6c2e\u6c14 = \u03c1\u7a7a\u6c14
\u5176\u4e2d\u03c1\u7a7a\u6c14\u3001\u03c1\u6c27\u6c14\u3001\u03c1\u6c2e\u6c14 \u8fd8\u6709 x \u90fd\u662f\u5df2\u77e5\u7684\u4e86\u3002\u5e26\u5165\u6240\u6709\u5df2\u77e5\u91cf\uff0c\u5f97\u5230 a% = 1.154% \uff1b
\u5982\u679c\u4f7f\u7528\u6574\u6570\u7684\u76f8\u5bf9\u539f\u5b50\u8d28\u91cf\uff0ca% = 0.01152984\u2026\u2026 \u2248 1.15%
\u6c2e\u6c14\u4f53\u79ef\u5206\u6570 x(1 - a%)/(x + 1) = 76.80%
\u6c27\u6c14\u4f53\u79ef\u5206\u6570 (1 - a%)/(x + 1) = 22.05%
\u5982\u679c\u4f7f\u7528\u6574\u6570\u76f8\u5bf9\u539f\u5b50\u8d28\u91cf\uff0c\u6c2e\u6c14\u4f53\u79ef\u5206\u6570\u4e3a76.81%\uff0c\u6c27\u6c14\u4f53\u79ef\u5206\u6570\u4e3a22.04%
字面理解100*50那就是5000克(5升)
还有一种可能100*40%=40克氧化乐果
那就是40*50=2000克-60(如果原有稀释液是水的话)=1940克水
100×40%=40(g)
40%÷50=0.8‰
40÷0.8%=5000(g)
5000-100=4900(g)
要兑水4900g。
根据题目可以列出算式
40%×100÷(40%÷50)-100
=40÷0.008-100
=5000-100
=4900(克)
答:需要加水4900克。
40%/50=0.8%
100*40%=40
40/0.8%=5000
5000-100=4900