Calculate 33911

Calculate the volume of 50% KI solution and the volume of 20% KI solution needed to prepare 180g of 30% KI solution. The solution densities are known: ρ50% = 1.54575 g / cm3, ρ20% = 1.16597 g / cm3.

Correct answer:

V1 =  38.8161 cm3
V2 =  102.9186 cm3

Step-by-step explanation:

ρ1​=1.54575≐1.5458 g/cm3 ρ2​=1.16597≐1.166 g/cm3  m=180 g a=50%=10050​=21​=0.5 b=20%=10020​=51​=0.2 c=30%=10030​=103​=0.3  m = ρ V  ρ1​⋅ V1​+ρ2​⋅ V2​=m a⋅ ρ1​⋅ V1​+b⋅ ρ2​⋅ V2​=c⋅ m 1.54575⋅ V1​+1.16597⋅ V2​=180 0.5⋅ 1.54575⋅ V1​+0.2⋅ 1.16597⋅ V2​=0.3⋅ 180  1.54575V1​+1.16597V2​=180 0.772875V1​+0.233194V2​=54  Row2−1.545750.772875​⋅ Row1→Row2 1.55V1​+1.17V2​=180 −0.35V2​=−36  V2​=−0.349791−36​=102.91859996 V1​=1.54575180−1.16597V2​​=1.54575180−1.16597⋅ 102.91859996​=38.81610869=38.8161 cm3  V1​=38.816109 V2​=102.9186

Try another example


Did you find an error or inaccuracy? Feel free to write us. Thank you!







Tips for related online calculators
Our percentage calculator will help you quickly calculate various typical tasks with percentages.
Do you have a system of equations and are looking for calculator system of linear equations?
Do you know the volume and unit volume, and want to convert volume units?
Tip: Our Density units converter will help you convert density units.
Do you want to convert mass units?

You need to know the following knowledge to solve this word math problem:

Units of physical quantities:

Themes, topics:

Grade of the word problem:


 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions: