234.2 gm of sugar syrup contains 34.2 gm of sugar .what is the molal concentration of the solution
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The molal concentration of the sugar syrup solution is 0.5mol/kg.
Given:
- Sugar syrup solution in which solute is sugar (Molecular mass = 342.3g) whereas solvent is syrup.
- Weight of solute = 34.2g
- Weight of the solvent = 234.2g
To find:
Molality concentration of the sugar syrup = ?
Formula to be used:
Grams to mole conversion
- Moles =
Molal concentration calculation
- Molal concentration =
Calculation:
- To find molal concentration, value of the solute must be in moles and the value of solvent must be in kilograms.
- As in the question,both the mass of solute and solvent are given in grams, it must be converted into moles and kilogram respectively.
- Accordingly using the gram to mole conversion formula, it gives:
Moles =
Moles of solute =
Moles of solute = 0.09
- 234.2 g is equal to 0.2342 kg
- Substituting the obtained value in molal concentration formula, it gives:
Molal concentration =
Molal concentration =
Molal concentration = 0.5 mol/kg
Conclusion:
The molal concentration of the sugar syrup solution is calculated as 0.5mol/kg.
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