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A large polyethylene molecule is found to have a relative molecular mass of 4.0 x 10^4 - VCE - SSCE Chemistry - Question 17 - 2002 - Paper 1

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A large polyethylene molecule is found to have a relative molecular mass of 4.0 x 10^4. The number of carbon atoms in this molecule would be closest to A. 1500 B. 29... show full transcript

Worked Solution & Example Answer:A large polyethylene molecule is found to have a relative molecular mass of 4.0 x 10^4 - VCE - SSCE Chemistry - Question 17 - 2002 - Paper 1

Step 1

Calculate the number of carbon atoms

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Answer

To determine the number of carbon atoms in the polyethylene molecule, we first need to know the molar mass of carbon. The molar mass of carbon is approximately 12 g/mol.

Next, we will use the relative molecular mass of the polyethylene molecule which is given as 4.0 x 10^4 g/mol.

To find the number of carbon atoms, we can divide the total molecular mass by the molar mass of a single carbon atom:

extNumberofCarbonatoms=4.0×104g/mol12g/mol ext{Number of Carbon atoms} = \frac{4.0 \times 10^4 \, \text{g/mol}}{12 \, \text{g/mol}}

Calculating this gives:

Number of Carbon atoms=4.0×104123333.33\text{Number of Carbon atoms} = \frac{4.0 \times 10^4}{12} \approx 3333.33

Round this number to the closest option provided in the choices, which is 3300. Therefore, the answer is B. 2900.

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