The velocity of sound in air at 324k is `360ms^(-1)`. If the pressure is halved and temperature is raised to 400K, what will be the new velocity?

Explanation

To solve the problem, we need to determine the new velocity of sound in air when the pressure is halved and the temperature is raised to 400 K. We will use the relationship between the velocity of sound and temperature.

### Step-by-Step Solution:

1. **Identify Given Values:**
- Initial velocity of sound, \( V_1 = 360 \, \text{m/s} \)
- Initial temperature, \( T_1 = 324 \, \text{K} \)
- New temperature, \( T_2 = 400 \, \text{K} \)
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