High School

3. If a balloon had a volume of 6.3 liters at a temperature of 24.0°C, and it sits in the Florida sun until it reaches a temperature of 102°F, what is the final volume of the balloon?

4. An oxygen tank contains 6.2 liters at 30.1 psi. A diver takes the tank to 60.2 psi. What is the final volume of the oxygen tank?

Answer :

Final answer:

The final volume of the balloon is 26.25 liters. The final volume of the oxygen tank is 3.094 liters.

Explanation:

To find the final volume of the balloon, we can use Charles's Law, which states that at constant pressure, the volume of a gas is directly proportional to its temperature. We can express this relationship using the formula V1/T1 = V2/T2, where V1 and T1 are the initial volume and temperature, and V2 and T2 are the final volume and temperature. Using the given values, we can solve for V2:

V2 = (V1 * T2) / T1 = (6.3 * 102) / 24 = 26.25 liters

To find the final volume of the oxygen tank, we can use Boyle's Law, which states that at constant temperature, the pressure of a gas is inversely proportional to its volume. We can express this relationship using the formula P1 * V1 = P2 * V2, where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume. Using the given values, we can solve for V2:

V2 = (P1 * V1) / P2 = (30.1 * 6.2) / 60.2 = 3.094 liters

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