At what temperature will `500 cm^3` of a gas measured at `20^@C` occupy half its volume ? The pressure is kept constant.

Explanation

To solve the problem of determining the temperature at which `500 cm³` of gas at `20°C` occupies half its volume (i.e., `250 cm³`), while keeping the pressure constant, we can use the relationship between volume and temperature from Charles's Law. Here are the step-by-step calculations:

### Step 1: Identify the given values
- Initial volume, \( V_1 = 500 \, cm³ \)
- Final volume, \( V_2 = \frac{500}{2} = 250 \, cm³ \)
- Initial temperature, \( T_1 = 20°C \)

### Step 2: Convert the initial temperature to Kelvin
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