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A solution of sucrose (molar mass = 342 g mol–1) has been prepared by dissolving 68.5 g of sucrose in 1000 g of water. The freezing point of the solution obtained will be ( f for water = 1.86 K kg mol–1). [2010]
  • a)
    –  0.372°C
  • b)
    –  0.520°C
  • c)
    +  0.372°C
  • d)
    –  0.570°C
Correct answer is option 'A'. Can you explain this answer?
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A solution of sucrose (molar mass = 342 g mol–1) has been prepar...
0.372
T = – 0.372°C
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A solution of sucrose (molar mass = 342 g mol–1) has been prepar...
$^{-1}$) in water has a concentration of 0.5 mol L$^{-1}$. What is the mass of sucrose needed to prepare 500 mL of this solution?

To calculate the mass of sucrose needed, we need to use the formula:

mass = moles x molar mass

First, let's calculate the number of moles of sucrose needed for 500 mL of 0.5 mol L$^{-1}$ solution:

moles = concentration x volume

moles = 0.5 mol L$^{-1}$ x 0.5 L

moles = 0.25 mol

Now, we can use the formula to calculate the mass:

mass = moles x molar mass

mass = 0.25 mol x 342 g mol$^{-1}$

mass = 85.5 g

Therefore, we need 85.5 g of sucrose to prepare 500 mL of a 0.5 mol L$^{-1}$ solution.
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