Density questions? - maths?

2016-06-14 5:08 pm
"Liquid A has a density of 0.7g/cm^3.
Liquid B has a density of 1.6 g/cm^3.

140g of Liquid A and 128g of Liquid B are mixed to make Liquid C.

Work out the density of Liquid C."

Anyone know how to work this out? Please show workings!

回答 (3)

2016-06-14 5:24 pm
✔ 最佳答案
Mass of liquid C
= (Mass of liquid A) + (Mass of liquid B)
= (140 g) + (128 g)
= 268 g

Volume of liquid C
= (Volume of liquid A) + (Volume of liquid B)
= [(Mass of liquid A) / (Density of liquid A)] + [(Mass of liquid B) / (Density of liquid B)]
= [(140 g) / (0.7 g/cm³)] + [(128 g) / (1.6 g/cm³)]
= (200 cm³) + (80 cm³)
= 280 cm³

Density of liquid C
= (Mass of liquid C) / (Volume of liquid C)
= (268 g) / (280 cm³)
= 0.957 g/cm³
2016-06-14 5:27 pm
Add masses to work out total; but you need to find volumes to get total volume

Volume of A = mass/density = 140 g/0.7 g/cm^3 = 200 cm^3

Volume of B = mass/density = 128 g/1.6 g/cm^3 = 80 cm^3

Density of Liquid C = total mass/total volume = 268/280 = 67/70 ~ 0.957
2016-06-14 5:20 pm
We're assuming there's no chemical reaction or change in temperature, pressure, etc. that would change the density of the substances.

140g of Liquid A has a volume of 140/0.7 = 200 cm^3
128g of Liquid B has a volume of 128/1.6 = 80 cm^3
Total mass of Liquid C: 140 + 128 = 268
Total volume of Liquid C: 200 + 80 = 280

Final answer: 268/280 = 67/70 =~ 0.95714285714285714285714285714286 g/cm^3


收錄日期: 2021-04-18 15:04:48
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20160614090814AARtn8Q

檢視 Wayback Machine 備份