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Chapter 25: Problem 3

Calculate the molar mass of a particular polyethylene sample, \(-\left(\mathrm{CH}_{2}-\mathrm{CH}_{2}\right)-{ }_{n},\) where \(n=4600\).

Short Answer

Expert verified
The molar mass of the polyethylene sample is \(128984 \, \text{g/mol}\).

Step by step solution

01

Calculate the molar mass of the repeat unit

Firstly, the molar mass of the repeat unit, \(-\left(\mathrm{CH}_{2}-\mathrm{CH}_{2}\right)\) needs to be calculated. The repeat unit consists of two carbon atoms and four hydrogen atoms. Therefore the molar mass of the repeat unit is found by multiplying the amount of atoms of each type by their respective molar masses and then summing up the results. This gives \((2 \times 12.01 \, \text{g/mol}) + (4 \times 1.01 \, \text{g/mol}) = 28.04 \, \text{g/mol}\).
02

Calculate the molar mass of the polyethylene sample

The molar mass of the polyethylene sample is then the product of the molar mass of the repeat unit (found in step 1) and the degree of polymerization, n. Therefore, the molar mass of the polymer is \(28.04 \, \text{g/mol} \times 4600 = 128984 \, \text{g/mol}\).

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