1)

 A polymer contain 50 molecules  with molecular  mass 5000 ,100 molecules with molecular mass 10000 and 50 molecules  with molecular  mass 15,000 . Calculate number average molecular mass ?


A) 5000

B) 75,000

C) 10,000

D) 20,000

Answer:

Option C

Explanation:

 $\because$   Number average molecular mass   $(M\overline{n})$

 =$\frac{N_{1} M_{1}+N_{2} M_{2}+N_{3} M_{3}}{N_{1}+ N_{2}+N_{3}}$

 where, $N_{1},N_{2}  $   and $N_{3}$  are number of molecules and $M_{1} , M_{2} $ and $M_{3}$ are respectively  their molecular  masses.

 Given

      $N_{1}$ = 50   and $M_{1}$ = 5000

$N_{2}$ = 100   and $M_{2}$ = 10000

$N_{3}$ = 50   and $M_{3}$ = 15000

 Thus, 

 $M\overline{n}=\frac{N_{1} M_{1}+N_{2} M_{2}+N_{3} M_{3}}{N_{1}+ N_{2}+N_{3}}$

      =$M\overline{n}=\frac{(50 \times 5000) +(100\times 10000)+(50\times 15000)}{50+ 100+50}$

  = $\frac{(25,0000) +(1000000)+(750000)}{200}$

$M\overline{n}$=10,000

 Hence, option (c) is the correct answer