`2 g` of a metal in `H_(2) SO_(4)` gives `4.51 g` of the metal sulphate. The specific heat of metal is `0.057 cal g^(-1)`. Calculate the valency and atomic weight of metal.

Explanation

To solve the problem step by step, we will first calculate the atomic weight of the metal using its specific heat, and then we will find the valency and the equivalent weight of the metal.

### Step 1: Calculate the Atomic Weight of the Metal
We know that the atomic weight (A) can be calculated using the formula:
\[ A = \frac{6.4}{\text{Specific Heat}} \]

Given that the specific heat of the metal is \( 0.057 \, \text{cal g}^{-1} \):
\[ A = \frac{6.4}{0.057} \]
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