Question

if a molecular formula is $c_8h_{12}o_2$, what is the empirical formula?
a $c_8h_{12}o_2$
b $c_2h_3o$
c $c_4h_3o$
d $c_4h_6o$

Explanation:

Step1: Find GCD of subscripts

The molecular formula is \( C_8H_{12}O_2 \). Find the greatest common divisor (GCD) of 8, 12, and 2. The GCD of 8, 12, and 2 is 2.

Step2: Divide subscripts by GCD

Divide each subscript by 2: \( C_{\frac{8}{2}}H_{\frac{12}{2}}O_{\frac{2}{2}} = C_4H_6O \).

Answer:

d. \( C_4H_6O \)