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Mandarinka [93]
2 years ago
15

What mass of glucose (C6H12O6) should be dissolved in 12. 0 kg of water to obtain a solution with a freezing point of -5. 8 ∘C?.

SAT
2 answers:
bogdanovich [222]2 years ago
8 0

The mass of glucose solute dissolved in the solution is 6.739 Kg.

Recall that;

ΔT = K m i

ΔT = Freezing point depression

K =Freezing point depression constant = 1.86°C/mol

m = molality of the solution

i = Van't Hoff factor = 1 (molecular solution)

We have to find the freezing point depression from;

Freezing point depression = Freezing point of pure solvent - Freezing point of solution

Freezing point of pure water = 0°C

Freezing point of solution = -5. 8 ∘C

Freezing point depression = 0°C - (-5. 8 ∘C) = 5. 8 ∘C

Now;

m = ΔT/K i

m = 5. 8 ∘C/ 1.86°C/mol × 1

m = 3.12 m

But molality = number of moles of solute/mass of solvent in Kg

Molar mass of solute = 180 g/mol

Let the mass of solute be m

3.12 = m/180/12

3.12 = m/180 × 12

m = 3.12 × 180 × 12

m = 6739 g or 6.739 Kg

Learn more: brainly.com/question/6249935

S_A_V [24]2 years ago
8 0

Answer:

6.7 kg

Explanation:

(0) - (-5.8)= 5.8ºC

5.8 / 1.86 = 3.12 m C6 H12 O6

The molar mass of C6 H12 O6 is: 180.156 g/mol

3.12 * 12 kg * 180.156 g/mol = 6,745.041 g = 6.7 kg.

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The population of two different villages are modeled by the equations shown below. The population (in thousands) is represented
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Answer:

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y_l_w(15)=315\hspace{3}thousands\\y_l_c(15)=315\hspace{3}thousands\\y_l_w(35)=715\hspace{3}thousands\\y_l_c(35)=715\hspace{3}thousands

Explanation:

Let:

y_l_w=Population\hspace{3}of\hspace{3}Lewiston\\y_l_c=Population\hspace{3}of\hspace{3}Lockport

We need to know, in what year(s) the villages had the same population, mathematically this is:

y_l_w=y_l_c

So:

x^2-30x+540=20x+15\\\\Subtract\hspace{3}20x\hspace{3}from\hspace{3}both\hspace{3}sides\\\\x^2-50x+540=15\\\\Subtract\hspace{3}15\hspace{3}from\hspace{3}both\hspace{3}sides\\\\x^2-50x+525=0

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Factoring

(x-15)(x-35)=0

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x=15\\\\or\\\\x=35

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1975+15=1990\\\\and\\\\1975+35=2010

In order to find the population of both cities during the year(s) of equal population, just evalue the equations at x=15 and x=35:

y_l_w(15)=315\hspace{3}thousands\\y_l_c(15)=315\hspace{3}thousands\\y_l_w(35)=715\hspace{3}thousands\\y_l_c(35)=715\hspace{3}thousands

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