A polymer contains 800 molecules of molar mass 1000, 100 molecules of molar mass 2000 and 100 molecules of molar mass 5000. What is its number average molecular weight ($M_n$)?

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To find the number average molecular weight ($M_n$), we use the formula: $$ M_n = \frac{\sum (N_i \cdot M_i)}{\sum N_i} $$ where: - $N_i$ is the number of molecules of each type, - $M_i$ is the molar mass of each type. Given the data: - $N_1 = 800$ and $M_1 = 1000$, - $N_2 = 100$ and $M_2 = 2000$, - $N_3 = 100$ and $M_3 = 5000$. Now, calculating $M_n$: $$ M_n = \frac{(800 \times 1000) + (100 \times 2000) + (100 \times 5000)}{800 + 100 + 100} $$ $$ M_n = \frac{800000 + 200000 + 500000}{1000} = \frac{1500000}{1000} = 1500 $$ Thus, the number average molecular weight $M_n = 1500$.

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A polymer contains 800 molecules of molar mass 1000, 100 molecules of molar mass 2000 and 100 molecules of molar mass 5000. What is its number average molecular weight (\(M_n\))?

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