A) \[{{C}_{6}}{{H}_{8}}{{N}_{2}}\]
B) \[{{C}_{7}}{{H}_{10}}N\]
C) \[{{C}_{5}}{{H}_{6}}{{N}_{3}}\]
D) \[{{C}_{4}}{{H}_{18}}{{N}_{3}}\]
Correct Answer: A
Solution :
Molar mass\[=108\text{ }g\text{ }mo{{l}^{-1}}\] Total part by weight \[=9+1+3.5=13.5\] Weight of carbon\[=\frac{9}{13.5}\times 108=72\,g\] Number of carbon atoms\[=\frac{72}{12}=6\] Weight of hydrogen\[=\frac{1}{13.5}\times 108=8g\] Number of hydrogen atoms \[=\frac{8}{1}=8\] Weight of nitrogen\[=\frac{3.5}{13.5}\times 108=28g\] Number of nitrogen atom \[=\frac{28}{14}=2\] Hence, molecular formula \[={{C}_{6}}{{H}_{8}}{{N}_{2}}\]
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