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

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