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(C) The number average molecular mass $(M_n)$ is calculated using the formula: $M_n = \frac{\sum N_i M_i}{\sum N_i} = \frac{N_1 M_1 + N_2 M_2 + N_3 M_

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$10$

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(C) The number average molecular mass $(M_n)$ is calculated using the formula: $M_n = \frac{\sum N_i M_i}{\sum N_i} = \frac{N_1 M_1 + N_2 M_2 + N_3 M_3}{N_1 + N_2 + N_3}$.Given: $N_1 = 50, M_1 = 5,000$; $N_2 = 100, M_2 = 10,000$; $N_3 = 50, M_3 = 15,000$.Substituting the values: $M_n = \frac{(50 	imes 5,000) + (100 	imes 10,000) + (50 	imes 15,000)}{50 + 100 + 50}$.$M_n = \frac{250,000 + 1,000,000 + 750,000}{200} = \frac{2,000,000}{200} = 10,000$.Thus, the number average molecular mass is $10,000$.

$A$ polymer contains $50$ molecules with molecular mass $5,000$, $100$ molecules with molecular mass $10,000$ and $50$ molecules with molecular mass $15,000$. Calculate the number average molecular mass. (in $,000$)

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