मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Write the Formula to Determine the Molar Mass of a Solute Using Freezing Point Depresssion Method. - Chemistry

Advertisements
Advertisements

प्रश्न

Write the formula to determine the molar mass of a solute using freezing point depresssion method.

संख्यात्मक

उत्तर

Depression of freezing point and molar mass of the solute:
When W2 gram of solute with molar mass M2 is dissolved in W1 gram of solvent, the molality m is given by

`ΔT_f ∝ m`

`m="Mass of solute in kg"/("Molar mass of solue in kg "×" Mass of solvent in kg")`

`m=W_2/(M_2*W_1)`

∴ The molar mass of a solute using freezing depression method is givenby,

`ΔT_f ∝ m`

`ΔT_f = k_f . ("W"_2)/("M"_2) xx 1000/"W"_1`
Where `K_f` - Cryoscopic constant
`"W"_2` - mass of solute
`"W"_1` - mass of solvent
`"M"_2` - molecular mass of non-volatile solute

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2015-2016 (March)

APPEARS IN

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

1.0 x10-3Kg of urea when dissolved in 0.0985 Kg of a solvent, decreases freezing point of the solvent by 0.211 k. 1.6x10 Kg of another non-electrolyte solute when dissolved in 0.086 Kg of the same solvent depresses the freezing point by 0.34 K. Calculate the molar mass of the another solute. (Given molar mass of urea = 60)


Which of the following solutions shows maximum depression in freezing point?

(A) 0.5 M Li2SQ4

(B) 1 M NaCl

(C) 0.5 M A12(SO4)3

(D) 0.5 MBaC12


Calculate the freezing point of solution when 1.9 g of MgCl2 (M = 95 g mol−1) was dissolved in 50 g of water, assuming MgCl2 undergoes complete ionization.

(Kf for water = 1.86 K kg mol−1)


A 5% solution (by mass) of cane sugar in water has freezing point of 271 K. Calculate the freezing point of 5% glucose in water if freezing point of pure water is 273.15 K.


Two elements A and B form compounds having formula AB2 and AB4. When dissolved in 20 g of benzene (C6H6), 1 g of AB2 lowers the freezing point by 2.3 K whereas 1.0 g of AB4 lowers it by 1.3 K. The molar depression constant for benzene is 5.1 K kg mol−1. Calculate the atomic masses of A and B.


The depression in freezing point of water observed for the same amount of acetic acid, trichloroacetic acid and trifluoroacetic acid increases in the order given above. Explain briefly.


Calculate the freezing point of a solution containing 60 g of glucose (Molar mass = 180 g mol–1) in 250 g of water. (Kf of water = 1.86 K kg mol–1)


What is the freezing point of a liquid? The freezing point of pure benzene is 278.4 K. Calculate the freezing point of the solution when 2.0 g of a solute having molecular weight 100 g mol-1
 is added to 100 g of benzene.
( Kf of benzene = 5.12 K kg mol-1 .) 


A 4% solution(w/w) of sucrose (M = 342 g mol–1) in water has a freezing point of 271.15 K. Calculate the freezing point of 5% glucose (M = 180 g mol–1) in water.
(Given: Freezing point of pure water = 273.15 K) 


A 5% solution (by mass) of cane sugar in water has a freezing point of 271 K and a freezing point of pure water is 273.15 K. The freezing point of a 5% solution (by mass) of glucose in water is:


A solution containing 1.8 g of a compound (empirical formula CH2O) in 40 g of water is observed to freeze at –0.465° C. The molecular formula of the compound is (Kf of water = 1.86 kg K mol–1):


In comparison to a 0.01 m solution of glucose, the depression in freezing point of a 0.01 m MgCl2 solution is ______.


If molality of dilute solution is doubled, the value of molal depression constant (Kf) will be ____________.


How does sprinkling of salt help in clearing the snow covered roads in hilly areas? Explain the phenomenon involved in the process.


Latent heat of water (ice) is 1436.3 cal per mol. What will be molal freezing point depression constant of water (R = 2 cal/degree/mol)?


Calculate freezing point depression expected for 0.0711 m aqueous solution of Na2SO4. If this solution actually freezes at – 0.320°C, what will be the value of van't Hoff factor? (kg for water = 108b°C mol–1)


Depression of freezing point in any dilute solution is directly proportional to ______


Read the passage carefully and answer the questions that follow:

Henna is investigating the melting point of different salt solutions.
She makes a salt solution using 10 mL of water with a known mass of NaCl salt.
She puts the salt solution into a freezer and leaves it to freeze.
She takes the frozen salt solution out of the freezer and measures the temperature when the frozen salt solution melts.
She repeats each experiment.

 

S.No Mass of the salt
used in g
Melting point in °C
Readings Set 1 Reading Set 2
1 0.3 -1.9 -1.9
2 0.4 -2.5 -2.6
3 0.5 -3.0 -5.5
4 0.6 -3.8 -3.8
5 0.8 -5.1 -5.0
6 1.0 -6.4 -6.3

Assuming the melting point of pure water as 0°C, answer the following questions:

  1. One temperature in the second set of results does not fit the pattern. Which temperature is that? Justify your answer.
  2. Why did Henna collect two sets of results?
  3. In place of NaCl, if Henna had used glucose, what would have been the melting point of the solution with 0.6 g glucose in it?
    OR
    What is the predicted melting point if 1.2 g of salt is added to 10 mL of water? Justify your answer.

1.2 mL of acetic acid is dissolved in water to make 2.0 L of solution. The depression in freezing point observed for this strength of acid is 0.0198° C. The percentage of dissociation of the acid is ______. [Nearest integer]

[Given: Density of acetic acid is 1.02 g mL–1, Molar mass of acetic acid is 60 g/mol.]

Kf(H2O) = 1.85 K kg mol–1


Of the following four aqueous solutions, total number of those solutions whose freezing points is lower than that of 0.10 M C2H5OH is ______. (Integer answer)

  1. 0.10 M Ba3 (PO4)2
  2. 0.10 M Na2 SO4
  3. 0.10 M KCl
  4. 0.10 M Li3 PO

1000 g of 1 m sucrose solution in water is cooled to −3.534°C. What weight of ice would be separated out at this temperature 1 is ______ gm. Kf(H2O) = 1.86 K mol−1 Kg)


40 g of glucose (Molar mass = 180) is mixed with 200 mL of water. The freezing point of solution is ______ K. (Nearest integer)

[Given : Kf = 1.86 K kg mol-1; Density of water = 1.00 g cm-3; Freezing point of water = 273.15 K]


Out of the following 1.0 M aqueous solution, which one will show the largest freezing point depression?


The depression in freezing point of water observed for the same amount of acetic acid, trichloroacetic acid and trifluoroacetic acid increases in the order given above. Explain briefly.


The depression in freezing point of water observed for the same amount of acetic acid, trichloroacetic acid and trifluoroacetic acid increases in the order given above. Explain briefly.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×