Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 9 of 14 determine the empirical formula for the compound with …

Question

question 9 of 14
determine the empirical formula for the compound with the molecular formula c₁₀h₈.
empirical formula:
determine the empirical formula for the compound with the molecular formula h₂s₂o₈.
empirical formula:

Explanation:

Response
For the compound with molecular formula $\boldsymbol{\ce{C_{10}H_{8}}}$:

Step1: Find the greatest common divisor (GCD) of the subscripts 10 and 8.

The factors of 10 are 1, 2, 5, 10. The factors of 8 are 1, 2, 4, 8. The GCD of 10 and 8 is 2.

Step2: Divide each subscript by the GCD.

For C: $\frac{10}{2} = 5$; For H: $\frac{8}{2} = 4$.

Step1: Find the GCD of the subscripts 2, 2, and 8.

The factors of 2 are 1, 2. The factors of 8 are 1, 2, 4, 8. The GCD of 2, 2, and 8 is 2.

Step2: Divide each subscript by the GCD.

For H: $\frac{2}{2} = 1$; For S: $\frac{2}{2} = 1$; For O: $\frac{8}{2} = 4$.

Answer:

$\ce{C_{5}H_{4}}$

For the compound with molecular formula $\boldsymbol{\ce{H_{2}S_{2}O_{8}}}$: