A given sample of a particular polymer will have molecules with a range of molecular weights, MW. If the molecular weight pdf is , what fraction of the molecules will have a molecular weight less than 500? Round your answer to three decimal places.
A) 0.118
B) 0.882
C) 0.221
D) 0.000

Question

A given sample of a particular polymer will have molecules with a range of molecular weights, MW. If the molecular weight pdf is  , what fraction of the molecules will have a molecular weight less than 500? Round your answer to three decimal places.
A) 0.118 
B) 0.882 
C) 0.221 
D) 0.000

Quizplus · Accepted Answer

To find the fraction of molecules with molecular weight less than 500, we need to integrate the probability density function (pdf) from 0 to 500:

$\int_0^{500}11e^{-0.0011MW} dMW$

= $[-10000e^{-0.0011MW}]_0^{500}$

= $[-10000e^{-0.0011	imes 500} + 10000]$

= 0.118

Therefore, the answer is A) 0.118.

A Given Sample of a Particular Polymer Will Have Molecules