Chemistry Stoichiometry MDCAT 2014
PMDC Verified Question 98 of 105
A polymer of simplest formula \( \text{CH}_2 \) has molar mass of \( 28000 \text{ g mol}^{-1} \). Its molecular formula will be:
A
100 times that of its empirical formula
B
500 times of its empirical formula
C
200 times that of its empirical formula
D
2000 times that of its empirical formula
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Propolis Cognitive Error Autopsy

Official Correct Choice:
Option D: 2000 times that of its empirical formula
Concept:

A polymer's molecular formula is an exact integer multiple (n) of its empirical (simplest) formula. This integer is found by dividing the total molar mass by the empirical formula mass.

Formula:

$$ n = \frac{\text{Molar Mass}}{\text{Empirical Formula Mass}} $$

Solution:

  • The simplest (empirical) formula is \( \text{CH}_2 \).


  • Empirical formula mass = \( 12 + (2 \times 1) = 14 \text{ g/mol} \).


  • Given total molar mass = \( 28,000 \text{ g/mol} \).


  • Calculate the multiplier: \( n = 28000 / 14 = 2000 \).


  • Thus, the molecular formula is 2000 times the empirical formula.


Why other options are incorrect:

  • 100 / 200 / 500 times: These result from incorrect division arithmetic or misunderstanding the molar mass of the repeating unit.

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