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