The volume of the person's lungs if the temperature rises from 36°C to 39°C is 3.53L and will likely not explode.
The volume of a substance can be calculated using the following formula:
V1/T1 = V2/T2
Where;
3.5/309 = V2/312
309V2 = 1092
V2 = 1092 ÷ 309
V2 = 3.53L
Therefore, the volume of the person's lungs if the temperature rises from 36°C to 39°C is 3.53L and will not explode.
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