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几个同学在探究泥沙水的含沙量与其密度关系的实验中，设计了两种方案：
a.在已配制好的泥沙水中,多次加入清水,求出每次泥沙水的密度ρ和含沙量x；
b.在已配制...
Mar 19, 2024
几个同学在探究泥沙水的含沙量与其密度关系的实验中，设计了两种方案：
a.在已配制好的泥沙水中,多次加入清水,求出每次泥沙水的密度ρ和含沙量x；
b.在已配制好的泥沙水中,多次加入泥沙,求出每次泥沙水的密度ρ及含沙量x。
实验次数 1 2 3 4
x/（kg·m-3） 160 120 80 40
ρ/（kg·m-3） 1.08 1.06 1.04 1.02
他们选择上述中一种方案进行了实验，实验数据如下表所示：
（1）从表中的数据可知，泥沙水的密度随泥沙水的含沙量增大而________；
（2）从表中的数据可知，同学们实际的采用的方案是_________。（填字母）
Solution
a
Analyze the relationship between density (ρ) and sediment concentration (x) in the mud-sand water mixture
b
Observe that as the sediment concentration decreases from 160 to 40 kg/m³, the density decreases from 1.08 to 1.02 kg/m³
c
Conclude that the density of the mud-sand water mixture decreases as the sediment concentration decreases
d
Determine the experimental approach based on the trend in the data
e
Since the density is decreasing with decreasing sediment concentration, the approach must involve diluting the mixture with water
Answer
泥沙水的密度随泥沙水的含沙量增大而减小；同学们实际的采用的方案是a。
Key Concept
Fluid Mechanics: The study of fluid behavior and its interactions with other substances, including the relationship between density and concentration of mixtures.
Explanation
The data shows a decrease in density with a decrease in sediment concentration, indicating that water was added to the mixture, which aligns with experimental approach a.
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