Answer:
The empirical formula of this question is :
C.
![C_(5)H_(7)](https://img.qammunity.org/2021/formulas/chemistry/high-school/5857pd67y8tobrumlcxmt4ycj85h9n7taa.png)
Step-by-step explanation:
The empirical formula is the simplest whole number ratio of elements in the chemical formula of the molecule.
It is calculated using:
![Empirical\ formula=(Molecular\ formula)/(n)](https://img.qammunity.org/2021/formulas/chemistry/high-school/nn9mxu67p3pz8rw0pcwz3m1lvy4il75br2.png)
n = The common factor
The Molecular formula represents the exact composition of the elements in the compound.
For example :
Molecular formula : C4H8O2
Find the common factor n ?
here , 2 is common factor(which is divisible by 4 ,8,2)
![Empirical\ formula=(Molecular\ formula)/(2)](https://img.qammunity.org/2021/formulas/chemistry/high-school/s6hsjzt8kc3uxo1waz9fsyl2a8bbbpvpkl.png)
divide each element by 2
![Empirical\ formula=C_(2)H_(4)O_(1)](https://img.qammunity.org/2021/formulas/chemistry/high-school/a0xk2m3mumgc3g5gj0kbqro13u03i54jle.png)
generally 1 is not written
C2H4O is the empirical formula
In this question , the molecular formula C40H56
n = common factor = 8(It is divisible by 40 , 56 )
![Empirical\ formula=(Molecular\ formula)/(8)](https://img.qammunity.org/2021/formulas/chemistry/high-school/bivib352u089tovc4c0v2pvox09q0if5q6.png)
![Empirical\ formula=C_(5)H_(7)](https://img.qammunity.org/2021/formulas/chemistry/high-school/8j0eth8moibxwsainl2e12xaj7f1j8gin2.png)
So, correct option is C