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castortr0y [4]
3 years ago
9

Find the molarity and molality of 37.0 wt% Hcl. Assume the density of the acid is 1.19g/ml​

Chemistry
1 answer:
erik [133]3 years ago
4 0

Answer:

a) M HCl = 32.162 mol/L

b) m HCl = 15.873 mol/Kg

Explanation:

  • wt% = (mass HCl / mass sln)×100
  • δ HCl = mass HCl / Volume sln
  • molarity = mol HCl / V sln (L)
  • molality = mol HCl / Kg solvent

∴ MW HCl = 36.46 g/mol

assuming mass sln = 1 g

∴ mass sln = 1 g = g solvent + g solute

∴ solute: HCl

⇒ 0.37 = g HCl / g sln

⇒ g HCl = 0.37 g

⇒ g ste = 1 - 0.37 = 0.63 g

⇒ Kg ste = (0.63 g)×(Kg/1000 g) = 6.3 E-4 Kg

⇒ mol HCl = (0.37 g HCl)×(mol/36.46 g HCl) = 0.010 mol HCl

∴ V sln = (0.37 g)/(1.19 g/mL) = 0.3109 mL

⇒ V sln = (0.31 mL)×( L/1000 mL) = 3.109 E-4 L

a) molarity (M):

⇒ M HCl = 0.010 mol HCl / 3.109 E-4 L

⇒ M HCl = 32.162 mol/L

b) molality (m):

⇒ m HCl = ( 0.010 mol HCl) / (6.3 E-4 Kg)

⇒ m HCl = 15.873 mol/Kg

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To calculate the molality of solution, we use the equation:

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Depression in freezing point is defined as the difference in the freezing point of water and freezing point of solution.

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To calculate the depression in freezing point, we use the equation:

\Delta T_f=iK_fm

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\text{Freezing point of acetic acid}-\text{Freezing point of solution}=iK_fm

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Putting values in above equation, we get:

16.6^oC-\text{freezing point of solution}=1\times 3.59^oC/m\times 0.0312m\\\\\text{Freezing point of solution}=16.5^oC

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Elevation in boiling point is defined as the difference in the boiling point of solution and freezing point of pure solution.

The equation used to calculate elevation in boiling point follows:

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To calculate the elevation in boiling point, we use the equation:

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i = Vant hoff factor = 1 (for non-electrolyte)

K_f = molal boiling point elevation constant = 3.08°C/m

m = molality of solution = 0.0312 m

Putting values in above equation, we get:

\text{Boiling point of solution}-118.1^oC=1\times 3.08^oC/m\times 0.0312m\\\\\text{Boiling point of solution}=118.2^oC

Hence, the boiling point of solution is 118.2°C

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