小明自制土密度计并测定盐水的密度。 实验器材:刻度尺、圆柱形竹筷、细铅丝、烧杯、水、待测盐水

2025-03-30 13:55:10
推荐回答(2个)
回答1:

密度计是利用其在液体中漂浮,从而重力等于浮力的原理工作的,被测物体密度越大,其排开液体体积越小。(因为浮力永远等于重力,而浮力=液体密度×V排×g,所以,液体密度越大,V排越小)。
盐放入水中,在水中时,盐和水的总体积不变。所以,设盐体积V1cm²,则水体积(400-V1)cm²,得方程:【(400-V1)×1+2.6×V1】÷400=1.05,解得V1=12.5cm²,所以m盐=密度×体积=2.6×12.5=32.5g

回答2:

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被测盐水的密度表达式:p=p1*h1/h2 此步结果错误
解析:因竹筷两次受到的浮力分别是:
F浮=ρ水gs(L-h1)=G

F浮'=ρ盐水gs(L-h2)=G
则 ρ盐水gs(L-h2)=ρ水gs(L-h1),
故 ρ盐水=【ρ盐水=ρ水(L-h1)/(L-h2)】
问题解答如下
密度计是利用【漂浮时浮力与重力平衡的】条件工作的,被测物体的密度越大,密度计排开液体的体积【越小】

小明计算得出盐水的密度为1.05g/cm3,已知烧杯中盐水的体积为400cm3,盐的密度为2.6g/cm3,则盐水中含盐多少g?
解析:
由 ρ=m/V
得 m盐水=ρV=1.05g/cm^3x400cm^3=420g
又 V盐=m盐/ρ
V水=m水/ρ水
则 m盐水= m盐+m水
V盐水=V盐+V水=m盐/ρ盐+m水/ρ水
即 m盐+m水=420g ①
m盐/1.05g/cm^3+m水/1g/cm^3 =400cm^3 ②
解方程组①②得:
m盐=32.5g
m水=387.5g
答:盐水中含盐32.5g。

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