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If 50 molecules of a polymer contain molecular weight 500 each. 20 molecules contain molecular weight 200 each and 30 molecules contain molecular weight 300 each then their no. average molecular weight of the polymer is
- a)280
- b)380
- c)480
- d)580
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If 50 molecules of a polymer contain molecular weight 500 each. 20 mol...
To find the average molecular weight of the polymer, you can use the formula:
M = (W1N1 + W2N2 + ... + Wn*Nn)/(N1 + N2 + ... + Nn),
where M is the average molecular weight, W1, W2, ..., Wn are the molecular weights of the different types of molecules, and N1, N2, ..., Nn are the number of molecules of each type.
In this case, you are given that 50 molecules of the polymer have a molecular weight of 500 each, 20 molecules have a molecular weight of 200 each, and 30 molecules have a molecular weight of 300 each. Plugging these values into the formula gives us:
M = (50050 + 20020 + 300*30)/(50 + 20 + 30) = (50000 + 4000 + 9000)/100 = 59000/100 = 590
Therefore, the average molecular weight of the polymer is 590.
The correct answer is therefore (d) 580.
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Community Answer
If 50 molecules of a polymer contain molecular weight 500 each. 20 mol...
To find the number average molecular weight of the polymer, we need to calculate the sum of the individual molecular weights and divide it by the total number of molecules.
Given:
- 50 molecules with a molecular weight of 500 each
- 20 molecules with a molecular weight of 200 each
- 30 molecules with a molecular weight of 300 each
Calculating the sum of individual molecular weights:
- For 50 molecules with a molecular weight of 500 each: 50 * 500 = 25000
- For 20 molecules with a molecular weight of 200 each: 20 * 200 = 4000
- For 30 molecules with a molecular weight of 300 each: 30 * 300 = 9000
Now, calculating the total sum of molecular weights:
25000 + 4000 + 9000 = 38000
Calculating the total number of molecules:
50 + 20 + 30 = 100
Finally, to find the number average molecular weight, we divide the total sum of molecular weights by the total number of molecules:
38000 / 100 = 380
Therefore, the number average molecular weight of the polymer is 380. Hence, the correct answer is option B.
Given:
- 50 molecules with a molecular weight of 500 each
- 20 molecules with a molecular weight of 200 each
- 30 molecules with a molecular weight of 300 each
Calculating the sum of individual molecular weights:
- For 50 molecules with a molecular weight of 500 each: 50 * 500 = 25000
- For 20 molecules with a molecular weight of 200 each: 20 * 200 = 4000
- For 30 molecules with a molecular weight of 300 each: 30 * 300 = 9000
Now, calculating the total sum of molecular weights:
25000 + 4000 + 9000 = 38000
Calculating the total number of molecules:
50 + 20 + 30 = 100
Finally, to find the number average molecular weight, we divide the total sum of molecular weights by the total number of molecules:
38000 / 100 = 380
Therefore, the number average molecular weight of the polymer is 380. Hence, the correct answer is option B.
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