Answer: The empirical formula is [tex]CH_2[/tex].
Explanation:
Mass of C = 1.71 g
Mass of H = 0.287 g
Step 1 : convert given masses into moles.
Moles of C = [tex]\frac{\text{ given mass of C}}{\text{ molar mass of C}}= \frac{1.71g}{12g/mole}=0.142moles[/tex]
Moles of H = [tex]\frac{\text{ given mass of H}}{\text{ molar mass of H}}= \frac{0.287g}{1g/mole}=0.287moles[/tex]
Step 2 : For the mole ratio, divide each value of moles by the smallest number of moles calculated.
For C =[tex]\frac{0.142}{0.142}=1[/tex]
For H =[tex]\frac{0.287}{0.142}=2[/tex]
The ratio of C: H = 1: 2
Hence the empirical formula is [tex]CH_2[/tex].