• # question_answer The empirical formula of a compound is  $C{{H}_{2}}O.$Its molecular weight is 180. The molecular formula of the compound is A) ${{C}_{4}}{{H}_{8}}{{O}_{4}}$                      B) ${{C}_{6}}{{H}_{12}}{{O}_{6}}$        C)      ${{C}_{3}}{{H}_{6}}{{O}_{3}}$          D)      ${{C}_{5}}{{H}_{10}}{{O}_{5}}$

The molecular formula = Empirical formula $\times$Number of atoms. Number of atoms $\text{=}\frac{\text{Molecular}\,\text{wight}}{\text{Emprical}\,\text{formula}\,\text{weight}}=\frac{180}{30}=6$ (Here empirical formula$C{{H}_{2}}O,\,weight=12+2+16=30$) So, molecular formula $=C{{H}_{2}}O\times 6={{C}_{6}}{{H}_{12}}{{O}_{6}}$ Hence, the correct option is (b).