Answer: The empirical formula will be
![SF_6](https://img.qammunity.org/2020/formulas/chemistry/middle-school/m9yzla3nfj8vyd9l8exjb2o1j04xisbe2x.png)
Step-by-step explanation:
If percentage are given then we are taking total mass is 100 grams.
So, the mass of each element is equal to the percentage given.
Mass of S= 3.21 g
Mass of F = 11.4 g
Step 1 : convert given masses into moles.
Moles of S =
![\frac{\text{ given mass of S}}{\text{ molar mass of S}}= (3.21g)/(32g/mole)=0.1moles](https://img.qammunity.org/2020/formulas/chemistry/middle-school/74ieswztyrktnc0vjkdlnlcnacpifltt73.png)
Moles of F =
![\frac{\text{ given mass of F}{\text{ molar mass of F}}= (11.04g)/(19g/mole)=0.6moles]()
Step 2 : For the mole ratio, divide each value of moles by the smallest number of moles calculated.
For S=
![(0.1)/(0.1)=1](https://img.qammunity.org/2020/formulas/chemistry/middle-school/l58vgw9ii6o177gb9n3sp7cw4qwi56saj5.png)
For F =
![(0.6)/(0.1)=6](https://img.qammunity.org/2020/formulas/chemistry/middle-school/uayq6jkv365v1mq1t19bo9adkv0uqrrg3y.png)
The ratio of S: F= 1: 6
Hence the empirical formula is
![SF_6](https://img.qammunity.org/2020/formulas/chemistry/middle-school/m9yzla3nfj8vyd9l8exjb2o1j04xisbe2x.png)