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(P1V1/T1) = (P2V2/T2)
Remember T must be in kelvin.
Remember T must be in kelvin.
The combined gas law formula is given by:
(P1 * V1) / T1 = (P2 * V2) / T2
Where:
P1 = initial pressure (760 torr)
V1 = initial volume (5.5 liters)
T1 = initial temperature (25°C or 298K)
P2 = final pressure (915 torr)
V2 = final volume (unknown)
T2 = final temperature (19°C or 292K)
Rearranging the formula to solve for V2:
V2 = (P1 * V1 * T2) / (P2 * T1)
Substituting the given values:
V2 = (760 torr * 5.5 liters * 292K) / (915 torr * 298K)
Calculating this expression:
V2 ≈ 11.2 liters
Therefore, the new volume of air in the person's lungs after diving into the lake will be approximately 11.2 liters.