What are the empirical formulas of the following compounds? (a) \(\mathrm{Al}_{2} \mathrm{Br}_{6},\) (b) \(\mathrm{Na}_{2} \mathrm{~S}_{2} \mathrm{O}_{4},\) (c) \(\mathrm{N}_{2} \mathrm{O}_{5}\) (d) \(\mathrm{K}_{2} \mathrm{Cr}_{2} \mathrm{O}_{7}\)

Short Answer

Expert verified
The empirical formulas are (a) \(\mathrm{AlBr}_{3}\), (b) \(\mathrm{NaSO}_{2}\), (c) \(\mathrm{N}_{2} \mathrm{O}_{5}\), and (d) \(\mathrm{K}_{2} \mathrm{Cr}_{2} \mathrm{O}_{7}\).

Step by step solution

01

Determine the Empirical Formula of Al₂Br₆

In the formula \(\mathrm{Al}_{2} \mathrm{Br}_{6}\), both the subscript of Al and Br can be divided by 2. That will give us \(\mathrm{AlBr}_{3}\). So, the empirical formula for \(\mathrm{Al}_{2} \mathrm{Br}_{6}\) is \(\mathrm{AlBr}_{3}\).
02

Determine the Empirical Formula of Na₂S₂O₄

In the formula \(\mathrm{Na}_{2} \mathrm{S}_{2} \mathrm{O}_{4}\), the subscripts of Na, S, and O can be divided by 2. That will give us \(\mathrm{NaSO}_{2}\). So, the empirical formula for \(\mathrm{Na}_{2} \mathrm{S}_{2} \mathrm{O}_{4}\) is \(\mathrm{NaSO}_{2}\).
03

Determine the Empirical Formula of N₂O₅

In the formula \(\mathrm{N}_{2} \mathrm{O}_{5}\), the subscript of N and O cannot be simplified any further. So, the empirical formula for \(\mathrm{N}_{2} \mathrm{O}_{5}\) is \(\mathrm{N}_{2} \mathrm{O}_{5}\).
04

Determine the Empirical Formula of K₂Cr₂O₇

In the formula \(\mathrm{K}_{2} \mathrm{Cr}_{2} \mathrm{O}_{7}\), the subscripts of K, Cr, and O cannot be simplified any further. So, the empirical formula for \(\mathrm{K}_{2} \mathrm{Cr}_{2} \mathrm{O}_{7}\) is \(\mathrm{K}_{2} \mathrm{Cr}_{2} \mathrm{O}_{7}\).

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