An element A is teravalent and another element B is divalent. The formula of the compound formed from these elements will be :

Options

A. `A_(2)B`
B. AB
C. `AB_(2)`
D. `A_(2)B_(3)`

Answer

To determine the formula of the compound formed from the elements A and B, we need to follow these steps:

### Step 1: Identify the valency of the elements
- Element A is tetravalent, which means it has a valency of +4.
- Element B is divalent, which means it has a valency of -2.

### Step 2: Write the charges of the ions
- The charge of element A (cation) = +4
- The charge of element B (anion) = -2

### Step 3: Determine the ratio of the elements
To find the simplest ratio of the elements in the compound, we can use the method of cross-multiplication:
- The number of A ions needed to balance the charge of B ions can be calculated as follows:
- For A: 4 (from +4)
- For B: 2 (from -2)

### Step 4: Cross-multiply to find the number of each ion
- We need to balance the total positive and negative charges:
- Let the number of A ions be x and the number of B ions be y.
- The equation becomes:
- \( 4x = 2y \)

### Step 5: Solve for the simplest whole number ratio
- Rearranging the equation gives:
- \( \frac{x}{y} = \frac{2}{4} = \frac{1}{2} \)
- This means for every 1 ion of A, there are 2 ions of B.

### Step 6: Write the empirical formula
- From the ratio, we can conclude that the formula of the compound is \( AB_2 \).

### Final Answer
The formula of the compound formed from elements A and B is \( AB_2 \).

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