A 575 gram sample of acetonitrile (Tb =  81.65 ºC, kb = 1.44  ºC/m, MM = 41.05 g/mol) was contaminated with Mn2(CO3)5 (MM = 409.92 g/mol).   If the boiling point of the solution is 82.57 ºC, what mass (in g) of Mn2(CO3)5 is a dissolved in the solution?

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A 575 gram sample of acetonitrile (Tb =  81.65 ºC, kb = 1.44  ºC/m, MM = 41.05 g/mol) was contaminated with Mn2(CO3)5 (MM = 409.92 g/mol).   If the boiling point of the solution is 82.57 ºC, what mass (in g) of Mn2(CO3)5 is a dissolved in the solution?

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Introduction

When a non-electrolyte solute is added to a pure solvent, then the freezing point of the solution gets decreased and the boiling point of the solution is increased as compared to that of the pure solvent. The former case is known as depression of freezing point and the latter case is called elevation of boiling point (in comparison to pure solvent). 

Given data: 

Mass of acetonitrile is 575 g (0.575 kg). 

Its boiling point is 81.65oC and Kb is 1.44oC/m 

Molar mass of Mn2(CO3)5 is 409.92 g/mol. 

The boiling point of the solution is 82.57oC. 

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