A) \[{{\text{C}}_{\text{2}}}{{\text{H}}_{\text{4}}}{{\text{O}}_{\text{2}}}\]
B) \[{{\text{C}}_{3}}{{\text{H}}_{6}}{{\text{O}}_{3}}\]
C) \[{{\text{C}}_{5}}{{\text{H}}_{10}}{{\text{O}}_{5}}\]
D) \[{{\text{C}}_{4}}{{\text{H}}_{8}}{{\text{O}}_{4}}\]
Correct Answer: D
Solution :
Solutions having same osmotic pressure, at a given temperature, have same concentration. Concentration of compound = concentration of glucose \[\frac{6}{M\times 1}=0.05\] \[M=\frac{6}{0.05}=120\] \[(C{{H}_{2}}O)=12+2+16=30\] \[\text{n =}\frac{\text{molecular mass}}{\text{empirical formula mass}}=\frac{120}{30}=4\] Hence, molecular formula \[{{(C{{H}_{2}}O)}_{4}}={{C}_{4}}{{H}_{8}}{{O}_{4}}\]
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