What temperature would be necessary to double the volume of a gas initially at STP if the pressure is decreased to 50%?

Explanation

To solve the problem of determining the temperature necessary to double the volume of a gas initially at Standard Temperature and Pressure (STP) when the pressure is decreased to 50%, we can use the Ideal Gas Law, which is represented by the equation:

\[ \frac{P_1 V_1}{T_1} = \frac{P_2 V_2}{T_2} \]

### Step-by-Step Solution:

1. **Identify Initial Conditions:**
- At STP, the initial pressure \( P_1 = 760 \, \text{mmHg} \) (or 1 atm).
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