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In a polymer 30% molecules have molecular weight 20,000, 40% molecules have molecular weight 30,000 and the rest 30% molecules have molecular weight 60000. The weight average molecular weight of the polymer is
- a)26,000
- b)30,000
- c)43,333
- d)36,000
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In a polymer 30% molecules have molecular weight 20,000, 40% molecules...
Weight Average Molecular Weight (Mw) is calculated by multiplying the weight fraction of each component with its corresponding molecular weight and then summing up these products.
Given:
- 30% molecules have molecular weight 20,000
- 40% molecules have molecular weight 30,000
- 30% molecules have molecular weight 60,000
To calculate the weight average molecular weight, we first need to calculate the weight fraction of each component.
Weight Fraction Calculation:
- Weight fraction of the first component (20,000 MW) = 30% = 0.30
- Weight fraction of the second component (30,000 MW) = 40% = 0.40
- Weight fraction of the third component (60,000 MW) = 30% = 0.30
Next, we calculate the product of weight fraction and molecular weight for each component.
Product Calculation:
- Product of weight fraction and molecular weight for the first component = 0.30 * 20,000 = 6,000
- Product of weight fraction and molecular weight for the second component = 0.40 * 30,000 = 12,000
- Product of weight fraction and molecular weight for the third component = 0.30 * 60,000 = 18,000
Finally, we sum up the products calculated above to obtain the weight average molecular weight.
Weight Average Molecular Weight Calculation:
Mw = (Product of weight fraction and molecular weight for the first component) + (Product of weight fraction and molecular weight for the second component) + (Product of weight fraction and molecular weight for the third component)
= 6,000 + 12,000 + 18,000
= 36,000
Therefore, the weight average molecular weight of the polymer is 36,000.
Given:
- 30% molecules have molecular weight 20,000
- 40% molecules have molecular weight 30,000
- 30% molecules have molecular weight 60,000
To calculate the weight average molecular weight, we first need to calculate the weight fraction of each component.
Weight Fraction Calculation:
- Weight fraction of the first component (20,000 MW) = 30% = 0.30
- Weight fraction of the second component (30,000 MW) = 40% = 0.40
- Weight fraction of the third component (60,000 MW) = 30% = 0.30
Next, we calculate the product of weight fraction and molecular weight for each component.
Product Calculation:
- Product of weight fraction and molecular weight for the first component = 0.30 * 20,000 = 6,000
- Product of weight fraction and molecular weight for the second component = 0.40 * 30,000 = 12,000
- Product of weight fraction and molecular weight for the third component = 0.30 * 60,000 = 18,000
Finally, we sum up the products calculated above to obtain the weight average molecular weight.
Weight Average Molecular Weight Calculation:
Mw = (Product of weight fraction and molecular weight for the first component) + (Product of weight fraction and molecular weight for the second component) + (Product of weight fraction and molecular weight for the third component)
= 6,000 + 12,000 + 18,000
= 36,000
Therefore, the weight average molecular weight of the polymer is 36,000.
Community Answer
In a polymer 30% molecules have molecular weight 20,000, 40% molecules...
Option D is correct by simple Average molecular weight formula i.e,
[m1×(%of m1)+m2×(%of m2)+m3×(%of m3)]/100
[m1×(%of m1)+m2×(%of m2)+m3×(%of m3)]/100
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In a polymer 30% molecules have molecular weight 20,000, 40% molecules have molecular weight 30,000 and the rest 30% molecules have molecular weight 60000. The weight average molecular weight of the polymer isa)26,000b)30,000c)43,333d)36,000Correct answer is option 'C'. Can you explain this answer?
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