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The percent composition of the high explosive HNS is:
C H N O
37.35% 1.34% 18.67% 42.65%
The molar mass of HNS is 450.22. What is the molecular formula of HNS?

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$C_{13} H_{4} N_{7} O_{12}$

$C_{14} H_{6} N_{6} O_{12}$

$C_{15} H_{10} N_{6} O_{11}$

$C_{16} H_{12} N_{5} O_{11}$

answer is B.

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Detailed Solution

For the molecular formula of HNS,

$\begin{array}{l} C : H : N : O \\ \begin{aligned} \frac{37.35}{12} & : \frac{1.34}{1} : \frac{18.67}{14} : \frac{42.65}{16} \\ = 3.11 : 1.34 : 1.34 : 2.66 \\ = 2.38 : 1 : 1 : 2 \\ = 14 : 6 : 6 : 12 \end{aligned} \end{array}$

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