Chemistry: What is the mass percent of ethylene glycol in a 2.45 m solution of the ethylene glycol in water, the density of the solution is 1.07?

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What is the mass percent of ethylene glycol in

DiamNeli

15.01.2022

The mass percent of ethylene glycol in solution is 14.2 %

Explanation:

We are given:

Molarity of ethylene glycol solution = 2.45 M

This means that 2.45 moles of ethylene glycol is present in 1 L or 1000 mL of solution.

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

$\text{Density of substance}=\frac{\text{Mass of substance}}{\text{Volume of substance}}$

Density of solution = 1.07 g/mL

Volume of solution = 1000 mL

Putting values in above equation, we get:

$1.07g/mL=\frac{\text{Mass of solution}}{1000mL}\\\\\text{Mass of solution}=(1.07g/mL\times 1000mL)=1070g$

To calculate the number of moles, we use the equation:

$\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}$

Moles of ethylene glycol = 2.45 moles

Molar mass of ethylene glycol = 62 g/mol

Putting values in above equation, we get:

$2.45mol=\frac{\text{Mass of ethylene glycol}}{62g/mol}\\\\\text{Mass of ethylene glycol}=(2.45mol\times 62g/mol)=151.9g$

To calculate the mass percentage of ethylene glycol in solution, we use the equation:

$\text{Mass percent of ethylene glycol}=\frac{\text{Mass of ethylene glycol}}{\text{Mass of solution}}\times 100$

Mass of solution = 1070 g

Mass of ethylene glycol = 151.9 g

Putting values in above equation, we get:

$\text{Mass percent of ethylene glycol}=\frac{151.9g}{1070g}\times 100=14.2\%$

Hence, the mass percent of ethylene glycol in solution is 14.2 %

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