A blown-up balloon has a volume of 500 mL at `5^@C` . The balloon is distended to 7/8 of its maximum stretching capacity. Will the balloon burst at `30^@C`? Determine the minimum temperature above which it will burst.

Explanation

To solve the problem, we will use the ideal gas law and the concept of volume expansion with temperature. The key relationship we will use is Charles's Law, which states that the volume of a gas is directly proportional to its temperature (in Kelvin) when pressure is constant.

### Step-by-Step Solution:

1. **Identify Initial Conditions:**
- Initial volume of the balloon, \( V_1 = 500 \, \text{mL} \)
- Initial temperature, \( T_1 = 5^\circ C = 5 + 273.15 = 278.15 \, K \)

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