To determine the proportions of Cr³⁺ and O²⁻ ions that combine to form a neutral compound, we need to consider the charges of the ions:
- Each Cr³⁺ ion has a charge of +3.
- Each O²⁻ ion has a charge of -2.
To achieve a neutral compound, the total positive charge must equal the total negative charge.
Let x be the number of Cr³⁺ ions and y be the number of O²⁻ ions. The equation for neutrality can be written as:
\[ 3x = 2y \]
To find the simplest whole number ratio, we can solve for one of the variables. Let's rearrange it:
\[ \frac{x}{y} = \frac{2}{3} \]
This means that for every 2 O²⁻ ions, there will be 3 Cr³⁺ ions. Therefore, the ions combine in the ratio of:
- Cr³⁺ : O²⁻ = 3 : 2
So the answer is A. 3:2.