Problem

11. There are four water solutions of the equal volume in which there are equal mass of glucose, $\mathrm{CaCl}_{2}, \mathrm{NaHCO}_{3}$ and sucrose respectively. Then whose freezing-point is the lowest? ( ) $\left[\mathrm{Mr}(\right.$ glucose $\left.) 180(\mathrm{HAc}) 60\left(\mathrm{Na}_{2} \mathrm{CO}_{3}\right) 106\left(\mathrm{CaCl}_{2}\right) 111\right]$
A. Glucose
B. HAc
C. $\mathrm{CaCl}_{2}$
D. $\mathrm{Na}_{2} \mathrm{CO}_{3}$

Answer

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Answer

Compare the number of particles and find the lowest freezing point: \(\boxed{\text{A. Glucose}}\)

Steps

Step 1 :Calculate the moles of each solute: \(moles = \frac{mass}{molar\ mass}\)

Step 2 :moles_glucose = \(\frac{180}{180} = 1\)

Step 3 :moles_HAc = \(\frac{180}{60} = 3\)

Step 4 :moles_Na2CO3 = \(\frac{180}{106} \approx 1.70\)

Step 5 :moles_CaCl2 = \(\frac{180}{111} \approx 1.62\)

Step 6 :Calculate the number of particles for each solute:

Step 7 :particles_glucose = 1

Step 8 :particles_HAc = 3

Step 9 :particles_Na2CO3 = 1.70 * 2 = 3.40

Step 10 :particles_CaCl2 = 1.62 * 3 = 4.86

Step 11 :Compare the number of particles and find the lowest freezing point: \(\boxed{\text{A. Glucose}}\)

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