A storage battery contains a solution of `H_(2)SO_(4) 38%` by weight. At this concentration, the Vant't Hoff factor is `2.50`. At what temperature will the battery contents freeze? `(K_(f)=1.86^(@) mol^(-1) kg)`

Explanation

To solve the problem of determining the freezing point of a 38% by weight solution of \( H_2SO_4 \) with a van 't Hoff factor of 2.50, we will follow these steps:

### Step 1: Calculate the mass of solute and solvent
Assuming we have 100 grams of the solution:
- Mass of \( H_2SO_4 \) (solute) = 38 grams
- Mass of water (solvent) = 100 grams - 38 grams = 62 grams

### Step 2: Convert the mass of solvent to kilograms
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