Question #120562

An organic compound contains 88.89% carbon and 11.11% hydrogen by mass. The molecular mass of the organic compounds is 54g:mol. Find the molecular formula of the compound.

Expert's answer

Solution.

w(C)=88.89%;w(C)=88.89\%;

w(H)=11.11%;w(H)=11.11\%;

M(CxHy)=54g/mol;M(C_xH_y)=54g/mol;

x:y=w(C)Ar(C):w(H)Ar(H)=88.8912:11.111=7.4075:11.11=1:1.5=10:15=2:3;x:y=\dfrac{w(C)}{Ar(C)}:\dfrac{w(H)}{Ar(H)}=\dfrac{88.89}{12}:\dfrac{11.11}{1}=7.4075:11.11=1:1.5=10:15=2:3;

C2H3;C_2H_3;

M(C2H3)=2⋅12+3=27g/mol;M(C_2H_3)=2\sdot12+3=27g/mol;

Since M(C2H3)=27g/molM(C_2H_3)=27g/mol , and in the condition 54g / mol, so the indices need to be doubled.

C4H6;C_4H_6;

M(C4H6)=12⋅4+6=54g/mol;M(C_4H_6)=12\sdot4+6=54g/mol;

Answer: C4H6.C_4H_6.


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