Chemistry
03.07.2022 06:54
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Determine the molality of a solution of benzene dissolved in toluene (methylbenzene)

Determine the molality of a solution of benzene dissolved in toluene (methylbenzene) for which the mole fraction of benzene is 0.176. give your answer to 2 decimal places
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crookdamian21
crookdamian21
4,4(85 marks)

2.32 m

Explanation:

So, according to definition of mole fraction:

Mole\ fraction\ of\ benzene=\frac {n_{benzene}}{n_{benzene}+n_{toluene}}

Mole fraction = 0.176

Applying values as:

0.176=\frac {n_{benzene}}{n_{benzene}+n_{toluene}}

0.176\times ({n_{benzene}+n_{toluene}})={n_{benzene}}

So,

0.176\times n_{toluene}}=0.824\times {n_{benzene}}

{n_{benzene}}=\frac {0.176}{0.824}\times n_{toluene}}

{n_{benzene}}=0.2136\times n_{toluene}}

Also, Molar mass of toluene = 92.14 g/mol

Thus,

The formula for the calculation of moles is shown below:

moles = \frac{Mass\ taken}{Molar\ mass}

Mass=92.14\times n_{toluene}}\ g

Also, 1 g = 0.001 kg

So,

Mass\ of\ toluene=0.09214\times n_{toluene}}\ kg

Molality is defined as the moles of the solute present in 1 kg of the solvent.

It is represented by 'm'.

Thus,  

Molality\ (m)=\frac {0.2136\times n_{toluene}}{0.09214\times n_{toluene}}

Molality of benzene = 2.32 m

Jacques1b
Jacques1b
5,0(9 marks)

The answer is in the photo. I can only upload it to file hosting. link below.

cutt.ly/5zdtAzt

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