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日常生活中,常常需要洗涤物件,如洗衣服、洗菜等。有的人往往以为用水越多,就洗得越干净,可是你是否想过,能不能用较少的水,洗得同祥干净?下面我们通过数学计算来说明这个问题。设被洗涤的物件上,附着的垢物为G克,总用水量为W升,每次洗涤的,衣服上垢物完全而均匀地溶于水中。如用W升水洗涤一次,物件上的G克垢物完全溶于水中,则每升水含垢物G/W(克/升)。将物体从污水中取出,拧干,设物件仍含污W/K升,令K为整教,那么物件凉干后,残留的垢物为 X=G/W·W/K=G/K(克) (1)
In daily life, it is often necessary to wash objects such as laundry and vegetables. Some people tend to think that the more water they use, the cleaner they will be. However, have you ever thought that you can use less water to wash your body clean? Here we illustrate this problem through mathematical calculations. Assuming that the attached scale is Gg and the total amount of water used is W litres, the dirt on the clothes is completely and uniformly dissolved in the water at each wash. If washed once with W litres of water, the gram of scale on the article is completely dissolved in water, then the amount of G/W per liter of water (g/litre). Take the object out of the sewage, wring it out, and let the object still contain W/K litres. Let K be the whole religion. After the object cools down, the remaining scale will be X=G/W·W/K=G/K. (g) (1)